% Encoding: UTF-8
@Preamble{
"\def\cprime{$'$} "
}
# This file contains papers related to Euclidean Distance Matrices,
# distance geometry, molecular conformation, multidimensional scaling
### IMPORTANT NOTE!!! The 'string' definitions for journals is given
### below in the file .master.bib.
### If you are now using another file other than .master.bib
##### (e.g. .psd.bib) then you should include .master.bib FIRST
#### in the \bibliography line, i.e. \bibliography{.master,....}
#####
# author: Henry Wolkowicz (University of Waterloo)
# personal URL: http://orion.math.uwaterloo.ca:80/~hwolkowi
# this file has URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/edm.bib.gz
# This file does not contain my personal publications which are in
# the file with URL:
# http://orion.math.uwaterloo.ca:80/~hwolkowi/henry/reports/publs.bib.gz
#
#
# keywords from Stewart's bibfile
# cs : computer science
# csd : CS decomposition
# eig : eigenvalue problems
# eriv : errors in variables
# geig : generalized eigenvalue problems
# ginv : generalized inverse
# gsvd : generalized singular value decomposition
# iter : iterative methods
# la : linear algebra
# lsq : least squares
# math : mathematics
# lud : LU decomposition
# na : numerical analysis
# nla : numerical linear algebra
# nlop : nonlinear equations and optimization
# prll : parallel computations
# pert : perturbation theory
# qrd : QR decomposition
# regr : regression
# stat : statistics
# svd : singular value decomposition
# New keywords
# sdp : semidefinite programming
# coneprog : cone programming
# trg : trust regions
# cdtprob : Celis-Dennis-Tapia two trust regions problem
# qap : quadratic assignment problem
# lsopt : large scale optimization
# ilp : integer linear programming
# ipg : interior point algorithms
# qp : quadratic programming
###################################
##################################
### the strings (abbr. of journals) are found at start of master.bib file
### Therefore bibliography line must start with master
#### You can also find them in the file called .strings.bib
###################################
###################################
########################end of string definitions#########
#######################################
####added by Dima FEb/2014
@article{Nathan_Henry,
Author = {Krislock, N. and Wolkowicz, H.},
Date-Added = {2014-02-01 12:01:56 -0500},
Date-Modified = {2014-02-01 12:02:24 -0500},
Doi = {10.1137/090759392},
Fjournal = {SIAM Journal on Optimization},
Issn = {1052-6234},
Journal = {SIAM J. Optim.},
Mrclass = {90C35 (90B10 90C22)},
Mrnumber = {2678410 (2011g:90208)},
Mrreviewer = {Michael Patriksson},
Number = {5},
Pages = {2679--2708},
Title = {Explicit sensor network localization using semidefinite
representations and facial reductions},
Url = {http://dx.doi.org/10.1137/090759392},
Volume = {20},
Year = {2010},
Bdsk-Url-1 = {http://www.ams.org/mathscinet-getitem?mr=2678410}}
####added by Dima JUL10/14
@article {rob_edm_min,
AUTHOR = {Javanmard, A. and Montanari, A.},
TITLE = {Localization from incomplete noisy distance measurements},
JOURNAL = {Found. Comput. Math.},
FJOURNAL = {Foundations of Computational Mathematics. The Journal of
the
Society for the Foundations of Computational Mathematics},
VOLUME = {13},
YEAR = {2013},
NUMBER = {3},
PAGES = {297--345},
ISSN = {1615-3375},
MRCLASS = {52C10 (05C80 51F99 60D05 94C99)},
MRNUMBER = {3047003},
MRREVIEWER = {Bhaswar B. Bhattacharya},
DOI = {10.1007/s10208-012-9129-5},
URL = {http://dx.doi.org/10.1007/s10208-012-9129-5},
}
@Article{Ding2016,
author="Ding, C.
and Qi, H.-D.",
title="Convex optimization learning of faithful Euclidean distance
representations in nonlinear dimensionality reduction",
journal="Mathematical Programming",
year="2016",
pages="1--41",
abstract="Classical multidimensional scaling only works well when the
noisy distances observed in a high dimensional space can be faithfully
represented by Euclidean distances in a low dimensional space. Advanced
models such as Maximum Variance Unfolding (MVU) and Minimum Volume
Embedding (MVE) use Semi-Definite Programming (SDP) to reconstruct such
faithful representations. While those SDP models are capable of
producing high quality configuration numerically, they suffer two major
drawbacks. One is that there exist no theoretically guaranteed bounds on
the quality of the configuration. The other is that they are slow in
computation when the data points are beyond moderate size. In this
paper, we propose a convex optimization model of Euclidean distance
matrices. We establish a non-asymptotic error bound for the random graph
model with sub-Gaussian noise, and prove that our model produces a
matrix estimator of high accuracy when the order of the uniform sample
size is roughly the degree of freedom of a low-rank matrix up to a
logarithmic factor. Our results partially explain why MVU and MVE often
work well. Moreover, the convex optimization model can be efficiently
solved by a recently proposed 3-block alternating direction method of
multipliers. Numerical experiments show that the model can produce
configurations of high quality on large data points that the SDP
approach would struggle to cope with.",
issn="1436-4646",
doi="10.1007/s10107-016-1090-7",
url="http://dx.doi.org/10.1007/s10107-016-1090-7"
}
####added by Dima JUL10/14
@article{BB93,
Author = {Bauschke, H.H. and Borwein, J.M.},
Coden = {SVANEG},
Doi = {10.1007/BF01027691},
Fjournal = {Set-Valued Analysis. An International Journal Devoted to the Theory of Multifunctions and its Applications},
Issn = {0927-6947},
Journal = {Set-Valued Anal.},
Mrclass = {65J05 (41A65 47H17 65K10)},
Mrnumber = {1239403 (95d:65048)},
Mrreviewer = {F. Deutsch},
Number = {2},
Pages = {185--212},
Title = {On the convergence of von {N}eumann's alternating projection algorithm for two sets},
Url = {http://dx.doi.org/10.1007/BF01027691},
Volume = {1},
Year = {1993},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/BF01027691}}
@article{siam_rev,
author = {Bauschke, H.H. and Borwein, J.M.},
title = {On Projection Algorithms for Solving Convex Feasibility Problems},
journal = {SIAM Rev.},
issue_date = {Sept. 1996},
volume = {38},
number = {3},
month = sep,
year = {1996},
issn = {0036-1445},
pages = {367--426},
numpages = {60},
url = {http://dx.doi.org/10.1137/S0036144593251710},
doi = {10.1137/S0036144593251710},
acmid = {240442},
publisher = {Society for Industrial and Applied Mathematics},
address = {Philadelphia, PA, USA},
keywords = {Cimmino's method, Fej{\'{e}}r monotone sequence, Hilbert space, Kaczmarz's method, Slater point, angle between two subspaces, averaged mapping, computerized tomography, convex feasibility problem, convex function, convex inequalities, convex programming, convex set, firmly nonexpansive mapping, image recovery, iterative method, linear convergence, linear feasibility problem, linear inequalities, nonexpansive mapping, orthogonal projection, projection algorithm, projection method, subdifferential, subgradient, subgradient algorithm, successive projections},
}
@article{conv_alt,
Author = {L.M. Bregman},
Journal = {Sov. Math. Dokl},
Pages = {688-692},
Title = {The method of successive projection for finding a common point of convex sets},
Volume = {6},
Year = {1965}}
@article{alt_genproj,
Author = {Lewis, A.S. and Luke, D.R. and Malick, J.},
Doi = {10.1007/s10208-008-9036-y},
Fjournal = {Foundations of Computational Mathematics. The Journal of the Society for the Foundations of Computational Mathematics},
Issn = {1615-3375},
Journal = {Found. Comput. Math.},
Mrclass = {49J53 (49M20 65K10 90C30)},
Mrnumber = {2519868 (2010d:49022)},
Mrreviewer = {Shawn Xianfu Wang},
Number = {4},
Pages = {485--513},
Title = {Local linear convergence for alternating and averaged nonconvex projections},
Url = {http://dx.doi.org/10.1007/s10208-008-9036-y},
Volume = {9},
Year = {2009},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/s10208-008-9036-y}}
@article{alt_man,
Author = {Lewis, A.S. and Malick, J.},
Doi = {10.1287/moor.1070.0291},
Fjournal = {Mathematics of Operations Research},
Issn = {0364-765X},
Journal = {Math. Oper. Res.},
Mrclass = {90C30 (49J53 65K10)},
Mrnumber = {2393548 (2009k:90110)},
Number = {1},
Pages = {216--234},
Title = {Alternating projections on manifolds},
Url = {http://dx.doi.org/10.1287/moor.1070.0291},
Volume = {33},
Year = {2008},
Bdsk-Url-1 = {http://dx.doi.org/10.1287/moor.1070.0291}}
@article{btheory,
Author = {Bauschke, H.H. and Luke, D.R. and Phan, H.M. and Wang, X.},
Doi = {10.1007/s11228-013-0239-2},
Issn = {1877-0533},
Journal = {Set-Valued and Variational Anal.},
Keywords = {Constraint qualification; Convex set; Friedrichs angle; Normal cone; Nonconvex set; Projection operator; Restricted normal cone; Superregularity; Primary 49J52; Secondary 47H09; 90C26},
Language = {English},
Pages = {1-43},
Publisher = {Springer Netherlands},
Title = {Restricted Normal Cones and the Method of Alternating Projections: Theory},
Url = {http://dx.doi.org/10.1007/s11228-013-0239-2},
Year = {2013},
Bdsk-Url-1 = {http://dx.doi.org/10.1007/s11228-013-0239-2}}
@article{altus,
Archiveprefix = {arXiv},
Author = {D. Drusvyatskiy and A.D. Ioffe and A.S. Lewis},
Eprint = {arXiv:1401.7569},
Institution = {arXiv [http://arXiv.org/oai2] (United States)},
Title = {Alternating projections and coupling slope},
Year = {2014}}
@article{Lions,
author = {Lions, P. and Mercier, B.},
title = {Splitting Algorithms for the Sum of Two Nonlinear Operators},
journal = {SIAM Journal on Numerical Analysis},
volume = {16},
number = {6},
pages = {964-979},
year = {1979},
doi = {10.1137/0716071},
URL = {
http://dx.doi.org/10.1137/0716071
},
eprint = {
http://dx.doi.org/10.1137/0716071
}
}
@article{fran,
year={2013},
issn={0022-3239},
journal={Journal of Optimization Theory and Applications},
doi={10.1007/s10957-013-0488-0},
title={Recent Results on {D}ouglas-{R}achford Methods for Combinatorial Optimization Problems},
url={http://dx.doi.org/10.1007/s10957-013-0488-0},
publisher={Springer US},
keywords={Douglas Rachford; Projections; Reflections; Combinatorial optimization; Modelling; Feasibility; Satisfiability; Sudoku; Nonograms},
author={Arag\'on Artacho, F.J. and Borwein, J.M. and Tam, M.K.},
pages={1-30},
language={English}
}
@article{thi,
author = {Elser, V. and Rankenburg, I. and Thibault, P.},
title = {Searching with iterated maps},
volume = {104},
number = {2},
pages = {418-423},
year = {2007},
doi = {10.1073/pnas.0606359104},
abstract ={In many problems that require extensive searching, the solution can be described as satisfying two competing constraints, where satisfying each independently does not pose a challenge. As an alternative to tree-based and stochastic searching, for these problems we propose using an iterated map built from the projections to the two constraint sets. Algorithms of this kind have been the method of choice in a large variety of signal-processing applications; we show here that the scope of these algorithms is surprisingly broad, with applications as diverse as protein folding and Sudoku.},
URL = {http://www.pnas.org/content/104/2/418.abstract},
eprint = {http://www.pnas.org/content/104/2/418.full.pdf+html},
journal = {Proceedings of the National Academy of Sciences}
}
@article {phase,
AUTHOR = {Bauschke, H.H. and Combettes, P.L. and Luke, D.R.},
TITLE = {Phase retrieval, error reduction algorithm, and {F}ienup
variants: a view from convex optimization},
JOURNAL = {J. Opt. Soc. Amer. A},
FJOURNAL = {Journal of the Optical Society of America A. Optics, Image
Science, and Vision},
VOLUME = {19},
YEAR = {2002},
NUMBER = {7},
PAGES = {1334--1345},
ISSN = {1084-7529},
CODEN = {JOAOD6},
MRCLASS = {94A12},
MRNUMBER = {1914365 (2003f:94012)},
MRREVIEWER = {Michael M. Dediu},
DOI = {10.1364/JOSAA.19.001334},
URL = {http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1364/JOSAA.19.001334},
}
#######################################
#######################################
%AAAAAAAAAAAA
@techreport{RanRaiHero:09,
AUTHOR = {R. RANGARAJAN and R. RAICH and A.O. Hero III},
TITLE = {EUCLIDEAN MATRIX COMPLETION PROBLEMS IN TRACKING AND
GEO-LOCALIZATON},
YEAR = {2009},
institution = {University of Michigan},
address = {Ann Arbor, MI}}
@article {MR1771209,
AUTHOR = {LARCHER, G. and SCHMID, W.Ch. and WOLF, R.},
TITLE = {On the approximation of certain mass distributions appearing
in distance geometry},
JOURNAL = {Acta Math. Hungar.},
FJOURNAL = {Acta Mathematica Hungarica},
VOLUME = {87},
YEAR = {2000},
NUMBER = {4},
PAGES = {295--316},
ISSN = {0236-5294},
MRCLASS = {51-XX},
MRNUMBER = {1 771 209},
}
@incollection {MR1763275,
AUTHOR = {TUY, H.},
TITLE = {Global optimization methods for location and distance geometry
problems},
BOOKTITLE = {Progress in optimization (Perth, 1998)},
PAGES = {3--20},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Dordrecht},
YEAR = {2000},
MRCLASS = {90C90 (65D18 90B85)},
MRNUMBER = {1 763 275},
}
@incollection {MR2040368,
AUTHOR = {An, L.T. and Tao, P.D.},
TITLE = {An new algorithm for solving large scale molecular
distance
geometry problems},
BOOKTITLE = {High performance algorithms and software for nonlinear
optimization (Erice, 2001)},
SERIES = {Appl. Optim.},
VOLUME = {82},
PAGES = {285--302},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Norwell, MA},
YEAR = {2003},
MRCLASS = {90C26 (65Kxx)},
MRNUMBER = {2 040 368}
}
@article {MR1741912,
AUTHOR = {Johnson, C.R. and SMITH, R.L.},
TITLE = {The positive definite completion problem relative to a
subspace},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {307},
YEAR = {2000},
NUMBER = {1-3},
PAGES = {1--14},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A48},
MRNUMBER = {1 741 912},
MRREVIEWER = {Shu An Hu},
}
@BOOK{alfm18,
AUTHOR ="Alfakih, A.Y.",
TITLE ="Euclidean distance matrices and their applications in rigidity
theory",
PUBLISHER="Springer"}
YEAR=2018 }
@article{alf05,
AUTHOR = {Alfakih, A.Y.},
TITLE = "On the nullspace, the rangespace and the
charactersitic
polynomial of {E}uclidean distance matrices",
TYPE = "Submitted",
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
volume = "to appear",
pages = " ",
NUMBER = " ",
INSTITUTION = "Dept. of Math. and Stats., University of Windsor",
YEAR = "2006",
}
@techreport{alf07d,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On the uniqueness of generic bar-and-joint frameworks},
YEAR = {2007},
institution = {University of Windsor},
address = {Windsor, Ontario}}
@article {MR2001b:05137,
AUTHOR = {Alfakih, A.Y.},
TITLE = {Graph rigidity via {E}uclidean distance matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {310},
YEAR = {2000},
NUMBER = {1-3},
PAGES = {149--165},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (52C25 94C15)},
MRNUMBER = {2001b:05137},
MRREVIEWER = {J. E. Graver}}
@article {Alfakih:01,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On rigidity and realizability of weighted graphs},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {325},
YEAR = {2001},
NUMBER = {1-3},
PAGES = {57--70}}
@article {ar78,
AUTHOR = {ASIMOW, L. and ROTH, B.},
TITLE = {The rigidity of graphs},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {245},
YEAR = {1978},
PAGES = {279--289},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {57M15 (05C10 52A40 53B50 73K05)},
MRNUMBER = {MR511410 (80i:57004a)},
MRREVIEWER = {G. Laman} }
@article {ar79,
AUTHOR = {ASIMOW, L. and ROTH, B.},
TITLE = {The rigidity of graphs. {II}},
JOURNAL = {J. Math. Anal. Appl.},
FJOURNAL = {Journal of Mathematical Analysis and Applications},
VOLUME = {68},
YEAR = {1979},
NUMBER = {1},
PAGES = {171--190},
ISSN = {0022-247X},
CODEN = {JMANAK},
MRCLASS = {57M15 (05C10 52A40 53B50 73K05)},
MRNUMBER = {MR531431 (80i:57004b)},
MRREVIEWER = {G. Laman} }
@incollection {con99,
AUTHOR = {CONNELLY, R.},
TITLE = {Tensegrity frameworks:{W}hy are they stable?},
BOOKTITLE = {Rigidity theory and applications},
PAGES = {47--54},
PUBLISHER = {Kluwer Academic/Plenum Publishers},
ADDRESS = {New York},
YEAR = {1999},
}
@article {MR2295049,
AUTHOR = {BELK, M. and CONNELLY, R.},
TITLE = {Realizability of graphs},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry. An International
Journal
of Mathematics and Computer Science},
VOLUME = {37},
YEAR = {2007},
NUMBER = {2},
PAGES = {125--137},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {05C62 (05C10 05C12 51K99 52C25 57M15)},
MRNUMBER = {MR2295049 (2007k:05147)},
MRREVIEWER = {Alexander I. Barvinok},
DOI = {10.1007/s00454-006-1284-5},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1007/s00454-006-1284-5},
}
@techreport{ConnellySloughter2004,
AUTHOR = {R. Connelly and M. SLOUGHTER},
TITLE = {Realizability of Graphs},
YEAR = {2004},
institution = {Dept. of Math., Cornell University},
address = {Ithaca, NY} }
@techreport{ConnellyGortler2014,
AUTHOR = {R. Connelly and M. Gortler},
TITLE = {iterative universal rigidity},
YEAR = {2014},
institution = {Dept. of Math., Cornell University},
address = {Ithaca, NY} }
@techreport{Connelly2009,
AUTHOR = {R. Connelly},
TITLE = {Tensegrities and global rigidity},
YEAR = {2009},
institution = {Dept. of Math., Cornell University},
address = {Ithaca, NY} }
@article {con05,
AUTHOR = {Connelly, R.},
TITLE = {Generic global rigidity},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry. An International Journal
of Mathematics and Computer Science},
VOLUME = {33},
YEAR = {2005},
NUMBER = {4},
PAGES = {549--563},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {05C62 (52C25)},
MRNUMBER = {MR2132290 (2005m:05154)},
MRREVIEWER = {Tiong Seng Tay} }
@incollection {con93,
AUTHOR = {CONNELLY, R.},
TITLE = {Rigidity},
BOOKTITLE = {Handbook of convex geometry, {V}ol.\ {A}, {B}},
PAGES = {223--271},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1993},
MRCLASS = {52C25 (70C20 73K99)},
MRNUMBER = {MR1242981 (94j:52041)},
MRREVIEWER = {Tiong Seng Tay} }
@incollection {con91,
AUTHOR = {CONNELLY, R.},
TITLE = {On generic global rigidity},
BOOKTITLE = {Applied geometry and discrete mathematics},
SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
VOLUME = {4},
PAGES = {147--155},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1991},
MRCLASS = {52C25},
MRNUMBER = {MR1116345 (92g:52022)},
MRREVIEWER = {Ethan D. Bolker} }
@article {con82,
AUTHOR = {CONNELLY, R.},
TITLE = {Rigidity and energy},
JOURNAL = {Invent. Math.},
FJOURNAL = {Inventiones Mathematicae},
VOLUME = {66},
YEAR = {1982},
NUMBER = {1},
PAGES = {11--33},
ISSN = {0020-9910},
CODEN = {INVMBH},
MRCLASS = {52A25 (51M20 73K99)},
MRNUMBER = {MR652643 (83m:52012)},
MRREVIEWER = {B. G. Roth} }
@article {MR2001a:92024,
AUTHOR = {MOR{\'E}, J.J. and WU, Z.},
TITLE = {Distance geometry optimization for protein structures},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {15},
YEAR = {1999},
NUMBER = {3},
PAGES = {219--234},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {92D20 (51K99 92-04)},
MRNUMBER = {2001a:92024} }
@article {Neumaier:81,
AUTHOR = {Neumaier, A.},
TITLE = {Distance matrices, dimension and conference graphs},
JOURNAL = {Nederl. Akad. Wetensch. Indag. Math.},
VOLUME = {43},
YEAR = {1981},
PAGES = {385--391}
}
@article {neu80,
AUTHOR = {Neumaier, A.},
TITLE = {Distances, graphs and designs},
JOURNAL = {Europ. J. Combinatorics},
VOLUME = {1},
YEAR = {1980},
PAGES = {163--174}
}
@techreport{Benasseni:05,
AUTHOR = {B\'ENASS\'ENI, J.},
TITLE = {A variance inequality ensuring that a predistance matrix
is {E}uclidean},
YEAR = {2005},
institution = {Univ. de Haute Bretagne},
address = {Rennes, France} }
@book {MR2000m:90004,
TITLE = {Progress in optimization},
EDITOR = {Yang, Xiaoqi and Mees, Alistair I. and Fisher, Mike and
Jennings, Les},
NOTE = {Contributions from Australasia,
Papers from the 5th Miniconference on Optimization Days held
at the University of Western Australia, Perth, June 29--30,
1998},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Dordrecht},
YEAR = {2000},
PAGES = {xx+342},
ISBN = {0-7923-6286-1},
MRCLASS = {90-06 (49-06)},
MRNUMBER = {2000m:90004} }
@proceedings {MR2000m:90003,
TITLE = {Optimization},
BOOKTITLE = {Proceedings of the 9th Belgian-French-German Conference held
in Namur, September 7--11, 1998},
EDITOR = {Nguyen, Van Hien and Strodiot, Jean-Jacques and Tossings,
Patricia},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {2000},
PAGES = {x+497},
ISBN = {3-540-66905-1},
MRCLASS = {90-06 (49-06)},
MRNUMBER = {2000m:90003} }
@article {MR2000m:62035,
AUTHOR = {Gower, J.},
TITLE = {Geometry, algebra and data analysis},
JOURNAL = {Math. Sci.},
FJOURNAL = {The Mathematical Scientist},
VOLUME = {24},
YEAR = {1999},
NUMBER = {2},
PAGES = {75--89},
ISSN = {0312-3685},
MRCLASS = {62H25 (00A69 62-09)},
MRNUMBER = {2000m:62035},
MRREVIEWER = {A. D. Gordon} }
@book {MR2000k:92010,
TITLE = {Optimization in computational chemistry and molecular biology},
EDITOR = {Floudas, C. A. and Pardalos, P. M.},
NOTE = {Local and global approaches,
Papers from the conference held at Princeton University,
Princeton, NJ, May 7--9, 1999},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Dordrecht},
YEAR = {2000},
PAGES = {viii+339},
ISBN = {0-7923-6155-5},
MRCLASS = {92C40 (90-02 90C90 92-04 92-06 92B05)},
MRNUMBER = {2000k:92010} }
@article {MR2000k:15044,
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@phdthesis{cassioli:08,
author = "A. Cassioli",
year = 2008,
title = "Global optimization of highly multimodal problems",
school = "Universita di Firenze,
Dipartimento di sistemi e informatica,
Via di S.Marta 3, 50139 Firenze, Italy"
}
@phdthesis{danielkim:06,
author = "D.S. KIM",
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title = "Sensor Network Localization Based on Natural Phenomena",
school = "Dept, Electr. Eng. and Comp. Sc., MIT",
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MRCLASS = {62-06 (62-07 62H30)},
MRNUMBER = {2000g:62012},
}
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MRCLASS = {92E10 (15A90 51K05)},
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MRNUMBER = {2000d:92030},
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@article {MR2000c:42029,
AUTHOR = {Kotowicz, J.},
TITLE = {Regularity of the multidimensional scaling functions:
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JOURNAL = {Appl. Math. (Warsaw)},
FJOURNAL = {Applicationes Mathematicae},
VOLUME = {25},
YEAR = {1999},
NUMBER = {4},
PAGES = {431--447},
ISSN = {1233-7234},
MRCLASS = {42C15 (39B32 47B38)},
MRNUMBER = {2000c:42029},
MRREVIEWER = {Peter A. McCoy},
}
@article {MR2000c:15004,
AUTHOR = {Reams, Robert},
TITLE = {Hadamard inverses, square roots and products of almost
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VOLUME = {288},
YEAR = {1999},
NUMBER = {1-3},
PAGES = {35--43},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A09 (15A48 15A57)},
MRNUMBER = {2000c:15004},
MRREVIEWER = {R. A. Horn},
}
@proceedings {MR2000c:00041,
TITLE = {Trends in mathematical physics},
BOOKTITLE = {Proceedings of the conference held at the University of
Tennessee, Knoxville, TN, October 14--17, 1998},
EDITOR = {Alexiades, Vasilios and Siopsis, George},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1999},
PAGES = {xii+528},
ISBN = {0-8218-2006-0},
MRCLASS = {00B25},
MRNUMBER = {2000c:00041},
}
@incollection {MR2000a:62144,
AUTHOR = {Rivas Moya, Teresa},
TITLE = {Obtaining disparities as slopes of greatest minorant convex},
BOOKTITLE = {Advances in data science and classification (Rome, 1998)},
PAGES = {509--516},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1998},
MRCLASS = {62H99 (62F30)},
MRNUMBER = {2000a:62144},
}
@article {MR99m:62082,
AUTHOR = {DeSarbo, Wayne S. and Kim, Youngchan and Fong, Duncan},
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VOLUME = {89},
YEAR = {1999},
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PAGES = {79--108},
ISSN = {0304-4076},
CODEN = {JECMB6},
MRCLASS = {62H11 (62F15)},
MRNUMBER = {99m:62082},
}
@book {MR99m:32026,
AUTHOR = {Kobayashi, Shoshichi},
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ISBN = {3-540-63534-3},
MRCLASS = {32H20 (32H15 32H25 32H30)},
MRNUMBER = {99m:32026},
MRREVIEWER = {William A. Cherry},
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VOLUME = {21},
YEAR = {1997},
NUMBER = {3},
PAGES = {223--260},
ISSN = {0259-9791},
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MRCLASS = {92E10 (81V45)},
MRNUMBER = {99j:92029},
MRREVIEWER = {T. W. Barrett},
}
@inproceedings {MR99j:05050,
AUTHOR = {Rajan, Kumar and Deo, Narsingh},
TITLE = {A parallel algorithm for generating disjoint $2$-$(v,4,1)$
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BOOKTITLE = {Proceedings of the Twenty-ninth Southeastern International
Conference on Combinatorics, Graph Theory and Computing (Boca
Raton, FL, 1998)},
JOURNAL = {Congr. Numer.},
FJOURNAL = {Congressus Numerantium},
VOLUME = {131},
YEAR = {1998},
PAGES = {5--18},
ISSN = {0384-9864},
MRCLASS = {05B40 (68Q22)},
MRNUMBER = {99j:05050},
}
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VOLUME = {20},
YEAR = {1999},
NUMBER = {1},
PAGES = {117--130 (electronic)},
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MRCLASS = {15A48 (05C50)},
MRNUMBER = {99i:15029},
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}
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VOLUME = {97},
YEAR = {1998},
NUMBER = {2-3},
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ISSN = {0096-3003},
CODEN = {AMHCBQ},
MRCLASS = {65F99},
MRNUMBER = {99d:65144},
}
@book {MR99c:90004,
TITLE = {New trends in mathematical programming},
EDITOR = {Giannessi, Franco and Koml{\'o}si, S{\'a}ndor and Rapcs{\'a}k,
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NOTE = {Homage to Steven Vajda},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Boston, MA},
YEAR = {1998},
PAGES = {xii+314},
ISBN = {0-7923-5036-7},
MRCLASS = {90-06 (00B30)},
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NUMBER = {2},
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MRCLASS = {51M99 (92E10)},
MRNUMBER = {99c:51028},
}
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AUTHOR = {Laurent, M.},
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distance matrix completion problems},
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MRNUMBER = {99c:05135},
MRREVIEWER = {Hugo Jan Woerdeman},
}
@book {MR99b:62002,
TITLE = {Data science, classification, and related methods},
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NOTE = {Papers from the 5th Conference of the International Federation
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PUBLISHER = {Springer-Verlag},
ADDRESS = {Tokyo},
YEAR = {1998},
PAGES = {xvi+780},
ISBN = {4-431-70208-3},
MRCLASS = {62-06 (62H30 68T10)},
MRNUMBER = {99b:62002},
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VOLUME = {7},
YEAR = {1997},
NUMBER = {3},
PAGES = {814--836},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (65D32 92C40 92E10)},
MRNUMBER = {98m:90144},
MRREVIEWER = {Panos M. Pardalos},
}
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AUTHOR = {Tao, P.D. and An, Le T.H.},
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VOLUME = {22},
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NUMBER = {1},
PAGES = {289--355},
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MRCLASS = {90C26 (90C08 90C90)},
MRNUMBER = {98m:90109},
MRREVIEWER = {Marlies Borchardt},
}
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MRREVIEWER = {Henry Wolkowicz},
DOI = {10.1016/0024-3795(84)90093-4},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/0024-3795(84)90093-4},
}
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VOLUME = {169},
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AUTHOR = {P.D. Tao and Souad, El B.},
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BOOKTITLE = {F{ERMAT} days 85: mathematics for optimization ({T}oulouse,
1985)},
SERIES = {North-Holland Math. Stud.},
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PUBLISHER = {North-Holland, Amsterdam},
YEAR = {1986},
MRCLASS = {90C33},
MRNUMBER = {874369},
MRREVIEWER = {Wenci Yu},
DOI = {10.1016/S0304-0208(08)72402-2},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/S0304-0208(08)72402-2},
}
@article {MR2012812,
AUTHOR = {An, L.T.H.},
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JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
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Global Optima and Their Applications in Science,
Management
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VOLUME = {27},
YEAR = {2003},
NUMBER = {4},
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ISSN = {0925-5001},
CODEN = {JGOPEO},
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@article {MR2004g:90107,
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VOLUME = {14},
YEAR = {2003},
NUMBER = {1},
PAGES = {77--114 (electronic)},
ISSN = {1095-7189},
MRCLASS = {90C30 (65K05 90C35)},
MRNUMBER = {2004g:90107},
MRREVIEWER = {V. F. Dem{\cprime}yanov},
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AUTHOR = {Niu, Y.S. and J\'{u}dice, J. and L.T.H. An and
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JOURNAL = {Appl. Math. Comput.},
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VOLUME = {353},
YEAR = {2019},
PAGES = {95--113},
ISSN = {0096-3003},
MRCLASS = {90C26 (90C30 90C33)},
MRNUMBER = {3914918},
DOI = {10.1016/j.amc.2019.02.017},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1016/j.amc.2019.02.017},
}
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MRCLASS = {91G10 (90C10 90C30)},
MRNUMBER = {3457063},
DOI = {10.1007/s11590-015-0931-2},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s11590-015-0931-2},
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AUTHOR = {Niu, Y.S. and Tao, P.D. and An, L.T.H and Judice, J.J.},
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JOURNAL = {Optim. Methods Softw.},
FJOURNAL = {Optimization Methods \& Software},
VOLUME = {28},
YEAR = {2013},
NUMBER = {4},
PAGES = {812--829},
ISSN = {1055-6788},
MRCLASS = {90C33 (15A18 90C26)},
MRNUMBER = {3175445},
MRREVIEWER = {Gemayqzel Bouza-Allende},
DOI = {10.1080/10556788.2011.645543},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1080/10556788.2011.645543},
}
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AUTHOR = {Tao, P.D and Niu, Yi-Shuai},
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FJOURNAL = {Computational Optimization and Applications. An International
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VOLUME = {50},
YEAR = {2011},
NUMBER = {3},
PAGES = {525--554},
ISSN = {0926-6003},
MRCLASS = {90C26 (91G10)},
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DOI = {10.1007/s10589-010-9383-x},
URL = {https://doi-org.proxy.lib.uwaterloo.ca/10.1007/s10589-010-9383-x},
}
@book {MR98m:62180,
AUTHOR = {Mathar, Rudolf},
TITLE = {Multidimensionale {S}kalierung},
NOTE = {Mathematische Grundlagen und algorithmische Aspekte.
[Mathematical foundations and algorithmic aspects]},
PUBLISHER = {B. G. Teubner},
ADDRESS = {Stuttgart},
YEAR = {1997},
PAGES = {95},
ISBN = {3-519-02738-0},
MRCLASS = {62H99 (92G15)},
MRNUMBER = {98m:62180},
MRREVIEWER = {Joachim Krauth},
}
@article {MR98m:15039,
AUTHOR = {Laurent, M.},
TITLE = {A connection between positive semidefinite and {E}uclidean
distance matrix completion problems},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {273},
YEAR = {1998},
PAGES = {9--22},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A48},
MRNUMBER = {98m:15039},
MRREVIEWER = {Shu An Hu},
}
@article {MR98k:51030,
AUTHOR = {Richmond, Bettina and Richmond, Thomas},
TITLE = {Metric spaces in which all triangles are degenerate},
JOURNAL = {Amer. Math. Monthly},
FJOURNAL = {The American Mathematical Monthly},
VOLUME = {104},
YEAR = {1997},
NUMBER = {8},
PAGES = {713--719},
ISSN = {0002-9890},
CODEN = {AMMYAE},
MRCLASS = {51K05 (54E35)},
MRNUMBER = {98k:51030},
MRREVIEWER = {Grattan P. Murphy},
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@article {MR98j:90022,
AUTHOR = {Romero, David and S{\'a}nchez-Flores, Adolfo},
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FJOURNAL = {Mathematical Social Sciences},
VOLUME = {33},
YEAR = {1997},
NUMBER = {1},
PAGES = {1--21},
ISSN = {0165-4896},
CODEN = {MSOSDD},
MRCLASS = {90A43},
MRNUMBER = {98j:90022},
}
@proceedings {MR98j:90005,
TITLE = {Topics in semidefinite and interior-point methods},
BOOKTITLE = {Proceedings of the workshop held in Toronto, ON, May 1996},
EDITOR = {Pardalos, Panos M. and Wolkowicz, Henry},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1998},
PAGES = {xx+250},
ISBN = {0-8218-0825-7},
MRCLASS = {90-06},
MRNUMBER = {98j:90005},
}
@article {MR98j:62051,
AUTHOR = {Naito, Kanta and Murata, Sinya and Fujikoshi, Yasunori},
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FJOURNAL = {Journal of the Japan Statistical Society (Nihon T\^okei Gakkai
Kaih\^o)},
VOLUME = {27},
YEAR = {1997},
NUMBER = {1},
PAGES = {77--91},
ISSN = {0389-5602},
MRCLASS = {62H99 (62H10)},
MRNUMBER = {98j:62051},
MRREVIEWER = {Rudolf Mathar},
}
@incollection {MR98j:62050,
AUTHOR = {Cuadras, C. M. and Fortiana, J.},
TITLE = {Weighted continuous metric scaling},
BOOKTITLE = {Multidimensional statistical analysis and theory of random
matrices (Bowling Green, OH, 1996)},
PAGES = {27--40},
PUBLISHER = {VSP},
ADDRESS = {Utrecht},
YEAR = {1996},
MRCLASS = {62H99 (60G99 62H25)},
MRNUMBER = {98j:62050},
MRREVIEWER = {Rudolf Mathar},
}
@proceedings {MR98h:62002,
TITLE = {Classification and knowledge organization},
BOOKTITLE = {Proceedings of the 20th Annual Conference of the Gesellschaft
f\"ur Klassifikation e.\ V.\ held at the University of
Freiburg, Freiburg, March 6--8, 1996},
EDITOR = {Klar, R{\"u}diger and Opitz, Otto},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1997},
PAGES = {xx+684},
ISBN = {3-540-62981-5},
MRCLASS = {62-06},
MRNUMBER = {98h:62002},
}
@article {MR98e:62149,
AUTHOR = {Heiser, Willem J. and Groenen, Patrick J. F.},
TITLE = {Cluster differences scaling with a within-clusters loss
component and a fuzzy successive approximation strategy to
avoid local minima},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal of Quantitative Psychology},
VOLUME = {62},
YEAR = {1997},
NUMBER = {1},
PAGES = {63--83},
ISSN = {0033-3123},
CODEN = {PSYKA2},
MRCLASS = {62P15 (62H30)},
MRNUMBER = {98e:62149},
MRREVIEWER = {C. Hayashi},
}
@book {MR98e:62092,
AUTHOR = {BORG, I. and GROENEN, P.},
TITLE = {Modern multidimensional scaling},
NOTE = {Theory and applications},
PUBLISHER = {Springer-Verlag},
ADDRESS = {New York},
YEAR = {1997},
PAGES = {xviii+471},
ISBN = {0-387-94845-7},
MRCLASS = {62H99 (62H30 62P15)},
MRNUMBER = {98e:62092},
MRREVIEWER = {Rudolf Mathar},
}
@book {MR98d:62115,
TITLE = {Clustering and classification},
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ADDRESS = {River Edge, NJ},
YEAR = {1996},
PAGES = {x+490},
ISBN = {981-02-1287-9},
MRCLASS = {62H30 (62-06)},
MRNUMBER = {98d:62115},
}
@article {MR98d:62110,
AUTHOR = {de Leeuw, Jan and Groenen, Patrick J. F.},
TITLE = {Inverse multidimensional scaling},
JOURNAL = {J. Classification},
FJOURNAL = {Journal of Classification},
VOLUME = {14},
YEAR = {1997},
NUMBER = {1},
PAGES = {3--21},
ISSN = {0176-4268},
MRCLASS = {62H30},
MRNUMBER = {98d:62110},
}
@article {MR98d:62104,
AUTHOR = {Carroll, J. Douglas and Kumbasar, Ece and Romney, A. Kimball},
TITLE = {An equivalence relation between correspondence analysis and
classical metric multidimensional scaling for the recovery of
{E}uclidean distances},
JOURNAL = {British J. Math. Statist. Psych.},
FJOURNAL = {The British Journal of Mathematical and Statistical
Psychology},
VOLUME = {50},
YEAR = {1997},
NUMBER = {1},
PAGES = {81--92},
ISSN = {0007-1102},
CODEN = {BJMSAK},
MRCLASS = {62H25},
MRNUMBER = {98d:62104},
}
@incollection {MR98c:05110,
AUTHOR = {Krafft, O. and Schaefer, M.},
TITLE = {Properties of some matrices associated with trees},
BOOKTITLE = {Research developments in probability and statistics},
PAGES = {383--389},
PUBLISHER = {VSP},
ADDRESS = {Utrecht},
YEAR = {1996},
MRCLASS = {05C50 (05C05)},
MRNUMBER = {98c:05110},
}
@book {MR98a:90009,
TITLE = {Recent advances in nonsmooth optimization},
EDITOR = {Du, Ding-Zhu and Qi, Liqun and Womersley, Robert S.},
PUBLISHER = {World Scientific Publishing Co. Inc.},
ADDRESS = {River Edge, NJ},
YEAR = {1995},
PAGES = {viii+472},
ISBN = {981-02-2265-3},
MRCLASS = {90-06 (49J52 65K05 90C30)},
MRNUMBER = {98a:90009},
}
@article {MR98a:62069,
AUTHOR = {Cuadras, C. M. and Atkinson, R. A. and Fortiana, J.},
TITLE = {Probability densities from distances and discrimination},
JOURNAL = {Statist. Probab. Lett.},
FJOURNAL = {Statistics \& Probability Letters},
VOLUME = {33},
YEAR = {1997},
NUMBER = {4},
PAGES = {405--411},
ISSN = {0167-7152},
CODEN = {SPLTDC},
MRCLASS = {62H05 (62H30)},
MRNUMBER = {98a:62069},
}
@article {MR98a:51014,
AUTHOR = {Lison{\v{e}}k, Petr},
TITLE = {New maximal two-distance sets},
JOURNAL = {J. Combin. Theory Ser. A},
FJOURNAL = {Journal of Combinatorial Theory. Series A},
VOLUME = {77},
YEAR = {1997},
NUMBER = {2},
PAGES = {318--338},
ISSN = {0097-3165},
CODEN = {JCBTA7},
MRCLASS = {51K99 (05D05)},
MRNUMBER = {98a:51014},
MRREVIEWER = {J. J. Seidel},
}
@article {MR97m:26026,
AUTHOR = {Mattner, L.},
TITLE = {Strict definiteness of integrals via complete monotonicity of
derivatives},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {349},
YEAR = {1997},
NUMBER = {8},
PAGES = {3321--3342},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {26D15 (31C15 43A35 60E99)},
MRNUMBER = {97m:26026},
MRREVIEWER = {Hrvoje {\v{S}}iki{\'c}},
}
@article {MR97h:62052,
AUTHOR = {{\v{Z}}ilinskas, Antanas},
TITLE = {A quadratically converging algorithm of multidimensional
scaling},
JOURNAL = {Informatica (Vilnius)},
FJOURNAL = {Lithuanian Academy of Sciences. Informatica (Vilnius)},
VOLUME = {7},
YEAR = {1996},
NUMBER = {2},
PAGES = {268--274},
ISSN = {0868-4952},
MRCLASS = {62H25},
MRNUMBER = {97h:62052},
}
@article {MR97h:15032,
AUTHOR = {Hayden, T.L. and Lee, J. and Wells, J. and Tarazaga, P.},
TITLE = {Block matrices and multispherical structure of distance
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {247},
YEAR = {1996},
PAGES = {203--216},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A57 (65F10)},
MRNUMBER = {97h:15032},
MRREVIEWER = {Gang Song Leng},
}
@article {MR97e:90093,
AUTHOR = {Wu, Zhijun},
TITLE = {The effective energy transformation scheme as a special
continuation approach to global optimization with application
to molecular conformation},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {6},
YEAR = {1996},
NUMBER = {3},
PAGES = {748--768},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C30 (90C90 92C40)},
MRNUMBER = {97e:90093},
}
@proceedings {MR97c:62113,
TITLE = {Recent advances in descriptive multivariate analysis},
BOOKTITLE = {Proceedings of the symposium held at the University of Exeter,
Exeter, May 1992--December 1993},
EDITOR = {Krzanowski, Wojtek J.},
NOTE = {Oxford Science Publications},
PUBLISHER = {The Clarendon Press Oxford University Press},
ADDRESS = {New York},
YEAR = {1995},
PAGES = {xiv+362},
ISBN = {0-19-852285-1},
MRCLASS = {62Hxx (62-06)},
MRNUMBER = {97c:62113},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@book {MR97c:62006,
TITLE = {From data to knowledge},
EDITOR = {Gaul, Wolfgang and Pfeifer, Dietmar},
NOTE = {Theoretical and practical aspects of classification, data
analysis, and knowledge organization,
Papers from the Eighteenth Annual Conference of the German
Classification Society held at the University of Oldenburg,
Oldenburg, 1994},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1996},
PAGES = {x+472},
ISBN = {3-540-60354-9},
MRCLASS = {62-06},
MRNUMBER = {97c:62006},
}
@article {MR97c:05018,
AUTHOR = {Stolarsky, Kenneth B.},
TITLE = {$q$-analogue triangular numbers and distance geometry},
JOURNAL = {Proc. Amer. Math. Soc.},
FJOURNAL = {Proceedings of the American Mathematical Society},
VOLUME = {125},
YEAR = {1997},
NUMBER = {1},
PAGES = {35--39},
ISSN = {0002-9939},
CODEN = {PAMYAR},
MRCLASS = {05A30 (05A19 11B65 51K05)},
MRNUMBER = {97c:05018},
MRREVIEWER = {David M. Bressoud},
}
@incollection {MR97b:90107,
author = "J.J. MOR\'{E} and Z. WU",
TITLE = {$\epsilon$-optimal solutions to distance geometry problems via
global continuation},
BOOKTITLE = {Global minimization of nonconvex energy functions: molecular
conformation and protein folding (New Brunswick, NJ, 1995)},
PAGES = {151--168},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1996},
MRCLASS = {90C30 (65K05 68Q25 92C40 92C55)},
MRNUMBER = {97b:90107},
MRREVIEWER = {Thomas F. Coleman},
}
@article {MR97a:51023,
AUTHOR = {You, Xiu Ying and Yang, Xu Chi},
TITLE = {The metric equation of a bifundamental figure and its
applications},
JOURNAL = {Sichuan Daxue Xuebao},
FJOURNAL = {Sichuan Daxue Xuebao. Ziran Kexue Ban. Sichuan University
Journal. Natural Sciences},
VOLUME = {32},
YEAR = {1995},
NUMBER = {5},
PAGES = {486--490},
ISSN = {0490-6756},
CODEN = {SCTHAO},
MRCLASS = {51K05},
MRNUMBER = {97a:51023},
}
@article {MR2549047,
AUTHOR = {Tarazaga, P. and Gallardo, J.E.},
TITLE = {Euclidean distance matrices: new characterization and
boundary properties},
JOURNAL = {Linear Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {57},
YEAR = {2009},
NUMBER = {7},
PAGES = {651--658},
ISSN = {0308-1087},
MRCLASS = {15B99},
MRNUMBER = {2549047 (2010i:15074)},
DOI = {10.1080/03081080802079259},
URL =
{http://dx.doi.org.proxy.lib.uwaterloo.ca/10.1080/03081080802079259},
}
@article {MR96m:51020,
AUTHOR = {Tarazaga, P. and Hayden, T.L. and Wells, J.},
TITLE = {Circum-{E}uclidean distance matrices and faces},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {232},
YEAR = {1996},
PAGES = {77--96},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05},
MRNUMBER = {96m:51020},
MRREVIEWER = {Yao Zhang},
}
@article {MR95g:51021,
AUTHOR = {Hayden, T.L. and Tarazaga, P.},
TITLE = {Distance matrices and regular figures},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {195},
YEAR = {1993},
PAGES = {9--16},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A99)},
MRNUMBER = {95g:51021},
}
@article {MR1253266,
AUTHOR = {Hayden, T.L. and Tarazaga, P.},
TITLE = {Distance matrices and regular figures},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {195},
YEAR = {1993},
PAGES = {9--16},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A99)},
MRNUMBER = {MR1253266 (95g:51021)},
}
@article {MR96m:05137,
AUTHOR = {Johnson, C.R. and JONES, C.A. and KROSCHEL,
B.K.},
TITLE = {The {E}uclidean distance completion problem: cycle
completability},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {39},
YEAR = {1995},
NUMBER = {1-2},
PAGES = {195--207},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {05C50 (05B20 05C38)},
MRNUMBER = {96m:05137},
MRREVIEWER = {Ke Min Zhang},
}
@incollection {MR96i:92016,
AUTHOR = {Byrd, Richard H. and Eskow, Elizabeth and van der Hoek,
Andr{\'e} and Schnabel, Robert B. and Shao, Chung-Shang and
Zou, Zhi Hong},
TITLE = {Global optimization methods for protein folding problems},
BOOKTITLE = {Global minimization of nonconvex energy functions: molecular
conformation and protein folding (New Brunswick, NJ, 1995)},
PAGES = {29--39},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1996},
MRCLASS = {92D20 (92C40)},
MRNUMBER = {96i:92016},
}
@incollection {MR96i:92005,
AUTHOR = {Amara, Patricia and Ma, Jianpeng and Straub, John E.},
TITLE = {Global minimization on rugged energy landscapes},
BOOKTITLE = {Global minimization of nonconvex energy functions: molecular
conformation and protein folding (New Brunswick, NJ, 1995)},
PAGES = {1--13},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1996},
MRCLASS = {92C05 (49Q20 81V55 92C40 92E10)},
MRNUMBER = {96i:92005},
MRREVIEWER = {C. S. Sharma},
}
@article {MR96h:42029,
AUTHOR = {Shen, Zuowei},
TITLE = {Nontensor product wavelet packets in ${L}\sb 2({\bf {R}}\sp
s)$},
JOURNAL = {SIAM J. Math. Anal.},
FJOURNAL = {SIAM Journal on Mathematical Analysis},
VOLUME = {26},
YEAR = {1995},
NUMBER = {4},
PAGES = {1061--1074},
ISSN = {0036-1410},
CODEN = {SJMAAH},
MRCLASS = {42C15 (41A15 94A12)},
MRNUMBER = {96h:42029},
MRREVIEWER = {Gilbert Walter},
}
@book {MR96g:92001,
TITLE = {Global minimization of nonconvex energy functions: molecular
conformation and protein folding},
EDITOR = {Pardalos, P. M. and Shalloway, D. and Xue, G.},
NOTE = {Papers from the DIMACS Workshop held as part of the DIMACS
Special Year on Mathematical Support for Molecular Biology at
Rutgers University, New Brunswick, New Jersey, March 20--21,
1995},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1996},
PAGES = {xiv+271},
ISBN = {0-8218-0471-5},
MRCLASS = {92-06},
MRNUMBER = {96g:92001},
}
@article {MR96g:90093,
AUTHOR= "B. Hendrickson",
TITLE = {The molecule problem: exploiting structure in global
optimization},
JOURNAL = {SIAM J. Optim.},
FJOURNAL = {SIAM Journal on Optimization},
VOLUME = {5},
YEAR = {1995},
NUMBER = {4},
PAGES = {835--857},
ISSN = {1052-6234},
CODEN = {SJOPE8},
MRCLASS = {90C35 (05C90 90B80)},
MRNUMBER = {96g:90093},
}
@article {jj05,
AUTHOR = {JACKSON, B. and JORD{\'A}N, T.},
TITLE = {Connected rigidity matroids and unique realizations of graphs},
JOURNAL = {J. Combin. Theory Ser. B},
FJOURNAL = {Journal of Combinatorial Theory. Series B},
VOLUME = {94},
YEAR = {2005},
NUMBER = {1},
PAGES = {1--29},
ISSN = {0095-8956},
CODEN = {JCBTB8},
MRCLASS = {05B35 (05C62 52C25)},
MRNUMBER = {MR2130278 (2005m:05052)},
MRREVIEWER = {Tiong Seng Tay},
}
@article {MR96g:90060,
AUTHOR = {Laurent, M. and POLJAK, S.},
TITLE = {On a positive semidefinite relaxation of the cut polytope},
NOTE = {Special issue honoring Miroslav Fiedler and Vlastimil Pt\'ak},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {223/224},
YEAR = {1995},
PAGES = {439--461},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {90C27 (52B12)},
MRNUMBER = {96g:90060},
MRREVIEWER = {Anna Rycerz},
}
@book {MR96g:62118,
AUTHOR = {Cox, Trevor F. and Cox, Michael A. A.},
TITLE = {Multidimensional scaling},
NOTE = {With 1 IBM-PC floppy disk (3.5 inch, HD)},
PUBLISHER = {Chapman \& Hall},
ADDRESS = {London},
YEAR = {1994},
PAGES = {xii+213},
ISBN = {0-412-49120-6},
MRCLASS = {62H99 (62-02)},
MRNUMBER = {96g:62118},
MRREVIEWER = {Rudolf Mathar},
}
@article {MR96g:15031,
AUTHOR = {Johnson, C.R. and Tarazaga, P.},
TITLE = {Connections between the real positive semidefinite and
distance matrix completion problems},
NOTE = {Special issue honoring Miroslav Fiedler and Vlastimil Pt\'ak},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {223/224},
YEAR = {1995},
PAGES = {375--391},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A99 (05C50)},
MRNUMBER = {96g:15031},
MRREVIEWER = {Linda J. Patton},
}
@article {MR96f:62107,
AUTHOR = {Groenen, Patrick J. F. and Mathar, Rudolf and Heiser, Willem
J.},
TITLE = {The majorization approach to multidimensional scaling for
{M}inkowski distances},
JOURNAL = {J. Classification},
FJOURNAL = {Journal of Classification},
VOLUME = {12},
YEAR = {1995},
NUMBER = {1},
PAGES = {3--19},
ISSN = {0176-4268},
MRCLASS = {62H30},
MRNUMBER = {96f:62107},
}
@incollection {MR96e:81152,
AUTHOR = {David, Fran{\c{c}}ois},
TITLE = {Renormalization theory for interacting manifolds},
BOOKTITLE = {Quantum gravity (Nishinomiya, 1992)},
PAGES = {100--111},
PUBLISHER = {World Sci. Publishing},
ADDRESS = {River Edge, NJ},
YEAR = {1993},
MRCLASS = {81T15 (82C41)},
MRNUMBER = {96e:81152},
}
@proceedings {MR96d:62002,
TITLE = {Information systems and data analysis},
BOOKTITLE = {Proceedings of the Seventeenth Annual Conference of the
Gesellschaft f\"ur Klassifikation e.V.\ held at the University
of Kaiserslautern, Kaiserslautern, March 3--5, 1993},
EDITOR = {Bock, Hans Hermann and Lenski, Wolfgang and Richter, Michael
M.},
NOTE = {Prospects---Foundations---Applications},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1994},
PAGES = {xvi+464},
ISBN = {3-540-58057-3},
MRCLASS = {62-06 (62-07 62H99)},
MRNUMBER = {96d:62002},
MRREVIEWER = {Allen Klinger},
}
@article {MR95k:51026,
AUTHOR = {BARVINOK, A.I.},
TITLE = {Problems of distance geometry and convex properties of
quadratic maps},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry},
VOLUME = {13},
YEAR = {1995},
NUMBER = {2},
PAGES = {189--202},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {51K99 (05C12 49N15 52C25 90C35)},
MRNUMBER = {95k:51026},
MRREVIEWER = {Igor Rivin},
}
@article {MR2202433,
AUTHOR = {Fiedler, M.},
TITLE = {Matrices and graphs in {E}uclidean geometry},
JOURNAL = {Electron. J. Linear Algebra},
FJOURNAL = {Electronic Journal of Linear Algebra},
VOLUME = {14},
YEAR = {2005},
PAGES = {51--58 (electronic)},
ISSN = {1081-3810},
MRCLASS = {05C50 (15A48 15A63)},
MRNUMBER = {2202433 (2006j:05130)},
MRREVIEWER = {Ivan Izmestiev},
}
@article {MR95j:15008,
AUTHOR = {Fiedler, Miroslav},
TITLE = {Elliptic matrices with zero diagonal},
NOTE = {Second Conference of the International Linear Algebra Society
(ILAS) (Lisbon, 1992)},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {197/198},
YEAR = {1994},
PAGES = {337--347},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A21 (15A18)},
MRNUMBER = {95j:15008},
MRREVIEWER = {Ferenc Wettl},
}
@article {MR95h:51039,
AUTHOR = {Su, Hua Ming},
TITLE = {A class of geometric inequalities of a finite point set lying
on sphere},
JOURNAL = {Chinese J. Contemp. Math.},
FJOURNAL = {Chinese Journal of Contemporary Mathematics},
VOLUME = {15},
YEAR = {1994},
NUMBER = {1},
PAGES = {59--63},
ISSN = {0898-5111},
MRCLASS = {51M16 (51K05)},
MRNUMBER = {95h:51039},
MRREVIEWER = {Jingzhong Zhang},
}
@book {MR95g:62128,
AUTHOR = {Basilevsky, Alexander},
TITLE = {Statistical factor analysis and related methods},
NOTE = {Theory and applications,
A Wiley-Interscience Publication},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1994},
PAGES = {xxvi+737},
ISBN = {0-471-57082-6},
MRCLASS = {62H25},
MRNUMBER = {95g:62128},
}
@incollection {MR95f:62094,
AUTHOR = {Cuadras, C. M. and Fortiana, J.},
TITLE = {Continuous metric scaling and prediction},
BOOKTITLE = {Multivariate analysis: future directions, 2 (Barcelona, 1992)},
PAGES = {47--66},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1993},
MRCLASS = {62H30},
MRNUMBER = {95f:62094},
}
@article {MR95d:68133,
AUTHOR = {Diday, Edwin},
TITLE = {Probabilist, possibilist and belief objects for pattern
recognition by data analysis},
JOURNAL = {Indian J. Pure Appl. Math.},
FJOURNAL = {Indian Journal of Pure and Applied Mathematics},
VOLUME = {25},
YEAR = {1994},
NUMBER = {1-2},
PAGES = {51--70},
ISSN = {0019-5588},
CODEN = {IJMHAU},
MRCLASS = {68T30},
MRNUMBER = {95d:68133},
MRREVIEWER = {Miguel Delgado Calvo-Flores},
}
@book {MR95d:62107,
AUTHOR = {Groenen, Patrick J. F.},
TITLE = {The majorization approach to multidimensional scaling},
NOTE = {Some problems and extensions},
PUBLISHER = {D.S.W.O. Press},
ADDRESS = {Leiden},
YEAR = {1993},
PAGES = {x+156},
ISBN = {90-6695-086-2},
MRCLASS = {62H99 (62H30 65K10)},
MRNUMBER = {95d:62107},
MRREVIEWER = {Rudolf Mathar},
}
@article {MR95d:62101,
AUTHOR = {Mathar, Rudolf and Meyer, Renate},
TITLE = {Preorderings, monotone functions, and best rank $r$
approximations with applications to classical {M}{D}{S}},
JOURNAL = {J. Statist. Plann. Inference},
FJOURNAL = {Journal of Statistical Planning and Inference},
VOLUME = {37},
YEAR = {1993},
NUMBER = {3},
PAGES = {291--305},
ISSN = {0378-3758},
CODEN = {JSPIDN},
MRCLASS = {62H25 (62P15)},
MRNUMBER = {95d:62101},
MRREVIEWER = {D. S. Tracy},
}
@article {MR95a:81304,
AUTHOR = {Xue, Guo Liang},
TITLE = {Improvement on the {N}orthby algorithm for molecular
conformation: better solutions},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {4},
YEAR = {1994},
NUMBER = {4},
PAGES = {425--440},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {81V55 (81-08 90C90)},
MRNUMBER = {95a:81304},
}
@article {MR95a:60021,
AUTHOR = {Buja, Andreas and Logan, B. F. and Reeds, J. A. and Shepp, L.
A.},
TITLE = {Inequalities and positive-definite functions arising from a
problem in multidimensional scaling},
JOURNAL = {Ann. Statist.},
FJOURNAL = {The Annals of Statistics},
VOLUME = {22},
YEAR = {1994},
NUMBER = {1},
PAGES = {406--438},
ISSN = {0090-5364},
CODEN = {ASTSC7},
MRCLASS = {60E99 (26D20 42A82 62H99 65K10)},
MRNUMBER = {95a:60021},
}
@article {MR94m:92025,
AUTHOR = {Xue, Guo Liang},
TITLE = {Molecular conformation on the {C}{M}-5 by parallel two-level
simulated annealing},
NOTE = {Advances in computational chemistry and protein folding},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {4},
YEAR = {1994},
NUMBER = {2},
PAGES = {187--208},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {92E10 (90C27)},
MRNUMBER = {94m:92025},
}
@article {MR94j:51022,
AUTHOR = {DRESS, A.W.M. and HAVEL, T.F.},
TITLE = {Distance geometry and geometric algebra},
JOURNAL = {Found. Phys.},
FJOURNAL = {Foundations of Physics. An International Journal Devoted to
the Conceptual Bases and Fundamental Theories of Modern
Physics, Biophysics, and Cosmology},
VOLUME = {23},
YEAR = {1993},
NUMBER = {10},
PAGES = {1357--1374},
ISSN = {0015-9018},
CODEN = {FNDPA4},
MRCLASS = {51K05 (15A66 53A50)},
MRNUMBER = {94j:51022},
MRREVIEWER = {Dominique Lambert},
}
@article {MR94i:90129,
AUTHOR = {Tarazaga, P. and TROSSET, M.W.},
TITLE = {An optimization problem on subsets of the symmetric
positive-semidefinite matrices},
JOURNAL = {J. Optim. Theory Appl.},
FJOURNAL = {Journal of Optimization Theory and Applications},
VOLUME = {79},
YEAR = {1993},
NUMBER = {3},
PAGES = {513--524},
ISSN = {0022-3239},
CODEN = {JOTABN},
MRCLASS = {90C30 (65F10)},
MRNUMBER = {94i:90129},
MRREVIEWER = {Giorgio Giorgi},
}
@book {MR94i:90009,
TITLE = {Advances in computational chemistry and protein folding},
EDITOR = {Pardalos, Panos M. and Xue, Guo Liang},
NOTE = {J. Global Optim. {\bf 4} (1994), no. 2},
PUBLISHER = {Kluwer Academic Publishers},
ADDRESS = {Dordrecht},
YEAR = {1994},
PAGES = {i--iv and 117--241},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90-06 (90C90)},
MRNUMBER = {94i:90009},
}
@article {MR94i:62159,
AUTHOR = {Ellis, Jules L.},
TITLE = {Subpopulation invariance of patterns in covariance matrices},
JOURNAL = {British J. Math. Statist. Psych.},
FJOURNAL = {The British Journal of Mathematical and Statistical
Psychology},
VOLUME = {46},
YEAR = {1993},
NUMBER = {2},
PAGES = {231--254},
ISSN = {0007-1102},
CODEN = {BJMSAK},
MRCLASS = {62P15 (62H20)},
MRNUMBER = {94i:62159},
}
@article {MR94i:62089,
AUTHOR = {Herden, G.},
TITLE = {Some aspects of qualitative data analysis},
JOURNAL = {Math. Social Sci.},
FJOURNAL = {Mathematical Social Sciences},
VOLUME = {26},
YEAR = {1993},
NUMBER = {2},
PAGES = {105--138},
ISSN = {0165-4896},
CODEN = {MSOSDD},
MRCLASS = {62H05 (62H30)},
MRNUMBER = {94i:62089},
MRREVIEWER = {Rudolf Mathar},
}
@article {MR94f:82034,
AUTHOR = {David, Fran{\c{c}}ois and Duplantier, Bertrand and Guitter,
Emmanuel},
TITLE = {Renormalization theory for interacting crumpled manifolds},
JOURNAL = {Nuclear Phys. B},
FJOURNAL = {Nuclear Physics. B},
VOLUME = {394},
YEAR = {1993},
NUMBER = {3},
PAGES = {555--664},
ISSN = {0550-3213},
CODEN = {NUPBBO},
MRCLASS = {82B28 (81T17 81T30 82D60)},
MRNUMBER = {94f:82034},
}
@incollection {MR94f:53083,
AUTHOR = {Alexander, Stephanie B. and Berg, I. David and Bishop, Richard
L.},
TITLE = {The distance-geometry of {R}iemannian manifolds with boundary},
BOOKTITLE = {Differential geometry: Riemannian geometry (Los Angeles, CA,
1990)},
PAGES = {31--36},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1993},
MRCLASS = {53C23 (53C70)},
MRNUMBER = {94f:53083},
MRREVIEWER = {Conrad Plaut},
}
@article {MR94c:86008,
AUTHOR = {LELE, S.},
TITLE = {{E}uclidean distance matrix analysis ({E}{D}{M}{A}): estimation
of mean form and mean form difference},
JOURNAL = {Math. Geol.},
FJOURNAL = {Mathematical Geology},
VOLUME = {25},
YEAR = {1993},
NUMBER = {5},
PAGES = {573--602},
ISSN = {0882-8121},
CODEN = {MATGED},
MRCLASS = {86A32},
MRNUMBER = {94c:86008},
}
@article {MR94c:54057,
AUTHOR = {Gao, En Yong and Zhai, Yan Hui},
TITLE = {The topological structure of a probability metric space and
its metrization},
JOURNAL = {Northeast. Math. J.},
FJOURNAL = {Northeastern Mathematical Journal. Dongbei Shuxue},
VOLUME = {8},
YEAR = {1992},
NUMBER = {4},
PAGES = {457--460},
ISSN = {1000-1778},
MRCLASS = {54E70},
MRNUMBER = {94c:54057},
MRREVIEWER = {B. Schweizer},
}
@article {MR94a:82031,
AUTHOR = {David, Fran{\c{c}}ois and Duplantier, Bertrand and Guitter,
Emmanuel},
TITLE = {Renormalization of crumpled manifolds},
JOURNAL = {Phys. Rev. Lett.},
FJOURNAL = {Physical Review Letters},
VOLUME = {70},
YEAR = {1993},
NUMBER = {15},
PAGES = {2205--2208},
ISSN = {0031-9007},
CODEN = {PRLTAO},
MRCLASS = {82B41 (81T17 81T30 82B28)},
MRNUMBER = {94a:82031},
}
@article {MR94a:52044,
AUTHOR = {Kamiyama, Yasuhiko},
TITLE = {An elementary proof of a theorem of {T}.\ {F}.\ {H}avel},
JOURNAL = {Ryukyu Math. J.},
FJOURNAL = {Ryukyu Mathematical Journal},
VOLUME = {5},
YEAR = {1992},
PAGES = {7--12},
MRCLASS = {52C25 (51K99 70B15 70G25)},
MRNUMBER = {94a:52044},
MRREVIEWER = {Robert Connelly},
}
@proceedings {MR94a:00012,
TITLE = {Differential geometry: {R}iemannian geometry},
BOOKTITLE = {Proceedings of the AMS Summer Research Institute on
Differential Geometry held at the University of California,
Los Angeles, California, July 8--28, 1990},
EDITOR = {Greene, Robert},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {1993},
PAGES = {xxii+710},
ISBN = {0-8218-1496-6},
MRCLASS = {00B25 (58-06)},
MRNUMBER = {94a:00012},
}
@article {MR93i:62055,
AUTHOR = {Schneider, Robert B.},
TITLE = {A uniform approach to multidimensional scaling},
JOURNAL = {J. Classification},
FJOURNAL = {Journal of Classification},
VOLUME = {9},
YEAR = {1992},
NUMBER = {2},
PAGES = {257--273},
ISSN = {0176-4268},
MRCLASS = {62H99 (62P15)},
MRNUMBER = {93i:62055},
}
@article {MR93i:51034,
AUTHOR = {Malitz, Seth M. and Malitz, Jerome I.},
TITLE = {A bounded compactness theorem for ${L}\sp 1$-embeddability of
metric spaces in the plane},
JOURNAL = {Discrete Comput. Geom.},
FJOURNAL = {Discrete \& Computational Geometry},
VOLUME = {8},
YEAR = {1992},
NUMBER = {4},
PAGES = {373--385},
ISSN = {0179-5376},
CODEN = {DCGEER},
MRCLASS = {51K05 (54E35)},
MRNUMBER = {93i:51034},
MRREVIEWER = {Grattan P. Murphy},
}
@article {MR93i:41026,
AUTHOR = {Sun, Xingping},
TITLE = {Norm estimates for inverses of {E}uclidean distance matrices},
JOURNAL = {J. Approx. Theory},
FJOURNAL = {Journal of Approximation Theory},
VOLUME = {70},
YEAR = {1992},
NUMBER = {3},
PAGES = {339--347},
ISSN = {0021-9045},
CODEN = {JAXTAZ},
MRCLASS = {41A65 (65F35)},
MRNUMBER = {93i:41026},
MRREVIEWER = {Wu Li},
}
@article {MR93e:65058,
AUTHOR = {Gower, J.C. and GROENEN, P.J.F.},
TITLE = {Applications of the modified {L}everrier-{F}addeev algorithm
for the construction of explicit matrix spectral
decompositions and inverses},
JOURNAL = {Utilitas Math.},
FJOURNAL = {Utilitas Mathematica},
VOLUME = {40},
YEAR = {1991},
PAGES = {51--64},
ISSN = {0315-3681},
CODEN = {UTMADA},
MRCLASS = {65F15 (65F05)},
MRNUMBER = {93e:65058},
MRREVIEWER = {V. L. Makarov},
}
@book {MR93d:62173,
AUTHOR = {Davison, Mark L.},
TITLE = {Multidimensional scaling},
NOTE = {Reprint of the 1983 original},
PUBLISHER = {Robert E. Krieger Publishing Co. Inc.},
ADDRESS = {Malabar, FL},
YEAR = {1992},
PAGES = {xiv+242},
ISBN = {0-89464-662-1},
MRCLASS = {62P15},
MRNUMBER = {93d:62173},
}
@incollection {MR93c:42031,
AUTHOR = {Berger, Marc A. and Wang, Yang},
TITLE = {Multidimensional two-scale dilation equations},
BOOKTITLE = {Wavelets},
PAGES = {295--323},
PUBLISHER = {Academic Press},
ADDRESS = {Boston, MA},
YEAR = {1992},
MRCLASS = {42C15 (65D17)},
MRNUMBER = {93c:42031},
}
@incollection {MR92k:51023,
AUTHOR = {Melter, Robert A.},
TITLE = {A survey of digital metrics},
BOOKTITLE = {Vision geometry (Hoboken, NJ, 1989)},
PAGES = {95--106},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1991},
MRCLASS = {51K05 (05B99 68U05)},
MRNUMBER = {92k:51023},
MRREVIEWER = {Ivan Stojmenovi{\'c}},
}
@article {MR92k:41002,
AUTHOR = {BALL, K.},
TITLE = {Eigenvalues of {E}uclidean distance matrices},
JOURNAL = {J. Approx. Theory},
FJOURNAL = {Journal of Approximation Theory},
VOLUME = {68},
YEAR = {1992},
NUMBER = {1},
PAGES = {74--82},
ISSN = {0021-9045},
CODEN = {JAXTAZ},
MRCLASS = {41A05},
MRNUMBER = {92k:41002},
}
@article {MR92j:62075,
AUTHOR = {ten Berge, Jos M. F.},
TITLE = {A general solution for a class of weakly constrained linear
regression problems},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal of Quantitative Psychology},
VOLUME = {56},
YEAR = {1991},
NUMBER = {4},
PAGES = {601--609},
ISSN = {0033-3123},
CODEN = {PSYKA2},
MRCLASS = {62J05 (62J07)},
MRNUMBER = {92j:62075},
}
@article {MR92h:62094,
AUTHOR = {Cox, Trevor F. and Cox, Michael A. A.},
TITLE = {Multidimensional scaling on a sphere},
JOURNAL = {Comm. Statist. Theory Methods},
FJOURNAL = {Communications in Statistics. Theory and Methods},
VOLUME = {20},
YEAR = {1991},
NUMBER = {9},
PAGES = {2943--2953},
ISSN = {0361-0926},
CODEN = {CSTMDC},
MRCLASS = {62H30},
MRNUMBER = {92h:62094},
}
@book {MR92b:52001,
TITLE = {Quasicrystals, networks, and molecules of fivefold symmetry},
EDITOR = {Hargittai, Istv{\'a}n},
PUBLISHER = {VCH Verlagsgesellschaft mbH},
ADDRESS = {Weinheim},
YEAR = {1990},
PAGES = {xiv+314},
ISBN = {0-89573-723-X},
MRCLASS = {52-06 (00A69 00B15 82-06)},
MRNUMBER = {92b:52001},
}
@book {MR91k:62056,
AUTHOR = {Gifi, Albert},
TITLE = {Nonlinear multivariate analysis},
NOTE = {With a foreword by Jan de Leeuw,
Edited and with a preface by Willem Heiser, Jacqueline Meulman
and Gerda van den Berg},
PUBLISHER = {John Wiley \& Sons Ltd.},
ADDRESS = {Chichester},
YEAR = {1990},
PAGES = {xx+579},
ISBN = {0-471-92620-5},
MRCLASS = {62H25 (62-07 62H20)},
MRNUMBER = {91k:62056},
}
@article {MR91j:90074,
AUTHOR = {Glunt, W. and Hayden, T.L. and Hong, S. and Wells, J.},
TITLE = {An alternating projection algorithm for computing the nearest
{E}uclidean distance matrix},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {11},
YEAR = {1990},
NUMBER = {4},
PAGES = {589--600},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {90C30 (49M99)},
MRNUMBER = {91j:90074},
}
@article {MR91j:62065,
AUTHOR = {Mathar, Rudolf},
TITLE = {Multidimensional scaling with constraints on the
configuration},
JOURNAL = {J. Multivariate Anal.},
FJOURNAL = {Journal of Multivariate Analysis},
VOLUME = {33},
YEAR = {1990},
NUMBER = {2},
PAGES = {151--156},
ISSN = {0047-259X},
MRCLASS = {62H05},
MRNUMBER = {91j:62065},
MRREVIEWER = {L. Rejto},
}
@article {MR91i:51023,
AUTHOR = {Hayden, T.L. and Wells, J. and LIU, W.M. and Tarazaga,
P.},
TITLE = {The cone of distance matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {144},
YEAR = {1991},
PAGES = {153--169},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A48)},
MRNUMBER = {91i:51023},
}
@book {MR91h:68155,
AUTHOR = {Jain, Anil K. and Dubes, Richard C.},
TITLE = {Algorithms for clustering data},
PUBLISHER = {Prentice-Hall Inc.},
ADDRESS = {Englewood Cliffs, NJ},
YEAR = {1988},
PAGES = {xiv+320},
ISBN = {0-13-022278-X},
MRCLASS = {68T10 (62-07 62H30 68U10)},
MRNUMBER = {91h:68155},
MRREVIEWER = {Guna Seetharaman},
}
@article {MR98k:92007,
AUTHOR = {Neumaier, Arnold},
TITLE = {Molecular modeling of proteins and mathematical prediction
of
protein structure},
JOURNAL = {SIAM Rev.},
FJOURNAL = {SIAM Review. A Publication of the Society for Industrial
and
Applied Mathematics},
VOLUME = {39},
YEAR = {1997},
NUMBER = {3},
PAGES = {407--460},
ISSN = {0036-1445},
CODEN = {SIREAD},
MRCLASS = {92C40 (65L05 92-08 92E10)},
MRNUMBER = {98k:92007},
MRREVIEWER = {James L. Cornette},
}
@article {MR91d:15015,
AUTHOR = {Neumaier, A.},
TITLE = {Derived eigenvalues of symmetric matrices, with applications
to distance geometry},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {134},
YEAR = {1990},
PAGES = {107--120},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A18 (51K05)},
MRNUMBER = {91d:15015},
MRREVIEWER = {J. J. Seidel},
}
@book {MR91c:62001,
AUTHOR = {Hansohm, J{\"u}rgen},
TITLE = {Die {B}ehandlung qualitativer {D}atenstrukturen in
quantitativen {A}nalysemethoden durch das {P}rinzip der
optimalen {S}kalierung},
PUBLISHER = {Verlag Peter D. Lang},
ADDRESS = {Frankfurt am Main},
YEAR = {1987},
PAGES = {ii+141},
ISBN = {3-8204-0136-9},
MRCLASS = {62-01 (62-07 62Hxx 62Pxx)},
MRNUMBER = {91c:62001},
MRREVIEWER = {H. Enke},
}
@article {MR90h:62123,
AUTHOR = {de Leeuw, Jan},
TITLE = {Convergence of the majorization method for multidimensional
scaling},
JOURNAL = {J. Classification},
FJOURNAL = {Journal of Classification},
VOLUME = {5},
YEAR = {1988},
NUMBER = {2},
PAGES = {163--180},
ISSN = {0176-4268},
MRCLASS = {62H10},
MRNUMBER = {90h:62123},
}
@article {MR90g:92046,
AUTHOR = {Telegdi, L.},
TITLE = {Arrangements of minimal variance---multidimensional scaling in
the symmetrical case},
NOTE = {Symmetry 2: unifying human understanding, Part 1},
JOURNAL = {Comput. Math. Appl.},
FJOURNAL = {Computers \& Mathematics with Applications. An International
Journal},
VOLUME = {17},
YEAR = {1989},
NUMBER = {1-3},
PAGES = {137--145},
ISSN = {0097-4943},
CODEN = {CMAPDK},
MRCLASS = {92A10 (62P99 92A25)},
MRNUMBER = {90g:92046},
MRREVIEWER = {L. M. Kelly},
}
@article {MR90g:62135,
AUTHOR = {Cuadras, C. M. and Oller, J. M.},
TITLE = {Eigenanalysis and metric multidimensional scaling on
hierarchical structures},
JOURNAL = {Q\"uestii\'o},
FJOURNAL = {Q\"uestii\'o.},
VOLUME = {11},
YEAR = {1987},
NUMBER = {3},
PAGES = {37--57},
ISSN = {0210-8054},
MRCLASS = {62H30 (92A25)},
MRNUMBER = {90g:62135},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@article {MR90f:92038,
AUTHOR = {CRIPPEN, G.M.},
TITLE = {Linearized embedding: a new metric matrix algorithm for
calculating molecular conformations subject to geometric
constraints},
JOURNAL = {J. Comput. Chem.},
FJOURNAL = {Journal of Computational Chemistry},
VOLUME = {10},
YEAR = {1989},
NUMBER = {7},
PAGES = {896--902},
ISSN = {0192-8651},
CODEN = {JCCHDD},
MRCLASS = {92A40},
MRNUMBER = {90f:92038},
}
@article {MR90e:92096,
AUTHOR = {MacKay, David B.},
TITLE = {Probabilistic multidimensional scaling: an anisotropic model
for distance judgments},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {33},
YEAR = {1989},
NUMBER = {2},
PAGES = {187--205},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25 (62P15)},
MRNUMBER = {90e:92096},
MRREVIEWER = {C. Hayashi},
}
@incollection {MR90e:62143,
AUTHOR = {Opitz, Otto},
TITLE = {Optimale {S}kalierung qualitativer {D}aten},
BOOKTITLE = {\"Okonomie und Mathematik},
PAGES = {302--316},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1987},
MRCLASS = {62P99 (62H30 92A25)},
MRNUMBER = {90e:62143},
}
@article {MR90e:51025,
AUTHOR = {Deza, M. and Maehara, H.},
TITLE = {Metric transforms and {E}uclidean embeddings},
JOURNAL = {Trans. Amer. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical Society},
VOLUME = {317},
YEAR = {1990},
NUMBER = {2},
PAGES = {661--671},
ISSN = {0002-9947},
CODEN = {TAMTAM},
MRCLASS = {51K05},
MRNUMBER = {90e:51025},
MRREVIEWER = {Grattan P. Murphy},
}
@incollection {MR90d:62138,
AUTHOR = {Mathar, R.},
TITLE = {Dimensionality in constrained scaling},
BOOKTITLE = {Classification and related methods of data analysis (Aachen,
1987)},
PAGES = {479--488},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1988},
MRCLASS = {62P15 (62H99)},
MRNUMBER = {90d:62138},
}
@book {MR90d:62001,
AUTHOR = {Everitt, B. S.},
TITLE = {Introduction to optimization methods and their application in
statistics},
PUBLISHER = {Chapman \& Hall},
ADDRESS = {London},
YEAR = {1987},
PAGES = {viii+88},
ISBN = {0-412-27210-5; 0-412-29680-2},
MRCLASS = {62-01 (49D10 49D15 62Hxx)},
MRNUMBER = {90d:62001},
MRREVIEWER = {L. R{\"u}schendorf},
}
@proceedings {MR90a:62006,
TITLE = {Classification and related methods of data analysis},
BOOKTITLE = {Proceedings of the First Conference of the International
Federation of Classification Societies held in Aachen, June
29--July 1, 1987},
EDITOR = {Bock, Hans H.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1988},
PAGES = {xvi+749},
ISBN = {0-444-70404-3},
MRCLASS = {62-06 (92A25)},
MRNUMBER = {90a:62006},
}
@book {MR90a:00018,
TITLE = {Symmetry 2: unifying human understanding. {P}art 1},
EDITOR = {Hargittai, I.},
NOTE = {Comput. Math. Appl. {\bf 17} (1989), no. 1-3},
PUBLISHER = {Pergamon Press},
ADDRESS = {Oxford},
YEAR = {1989},
PAGES = {i--xii and 1--473},
ISSN = {0097-4943},
CODEN = {CMAPDK},
MRCLASS = {00A10},
MRNUMBER = {90a:00018},
}
@article {MR89m:62060,
AUTHOR = {Telegdi, L{\'a}szl{\'o}},
TITLE = {Structural inference of binary variables},
JOURNAL = {Tanulm\'anyok---MTA Sz\'amit\'astech. Automat. Kutat\'o Int.
Budapest},
FJOURNAL = {Tanulm\'anyok. MTA Sz\'amit\'astechnikai \'es
Automatiz\'al\'asi Kutat\'o Int\'ezet Budapest},
NUMBER = {195},
YEAR = {1987},
PAGES = {147},
ISSN = {0324-2951},
MRCLASS = {62H30 (62P10)},
MRNUMBER = {89m:62060},
MRREVIEWER = {Tamas Lengyel},
}
@article {MR89k:92081,
AUTHOR = {Ennis, Daniel M. and Palen, Joseph J. and Mullen, Kenneth},
TITLE = {A multidimensional stochastic theory of similarity},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {32},
YEAR = {1988},
NUMBER = {4},
PAGES = {449--465},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25},
MRNUMBER = {89k:92081},
MRREVIEWER = {Tenko Raykov},
}
@article {MR89k:65047,
AUTHOR = {Hayden, T.L. and Wells, Jim},
TITLE = {Approximation by matrices positive semidefinite on a subspace},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {109},
YEAR = {1988},
PAGES = {115--130},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {65F35 (15A60)},
MRNUMBER = {89k:65047},
MRREVIEWER = {F. Szidarovszky},
}
@incollection {MR89j:62076,
AUTHOR = {d'Aubigny, G.},
TITLE = {A toolkit for multidimensional scaling of dissimilarity data},
BOOKTITLE = {Data analysis and informatics, V (Versailles, 1987)},
PAGES = {3--16},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1988},
MRCLASS = {62H25},
MRNUMBER = {89j:62076},
}
@proceedings {MR89i:62004,
TITLE = {C{O}{M}{P}{S}{T}{A}{T} 1988},
BOOKTITLE = {Proceedings of the Eighth Biannual Symposium on Computational
Statistics held in Copenhagen, 1988},
EDITOR = {Edwards, D. and Raun, N. E.},
PUBLISHER = {Physica-Verlag},
ADDRESS = {Heidelberg},
YEAR = {1988},
PAGES = {xiv+451},
ISBN = {3-7908-0411-8},
MRCLASS = {62-06 (65-06)},
MRNUMBER = {89i:62004},
}
@proceedings {MR89g:62009,
TITLE = {Data analysis and informatics. {V}},
BOOKTITLE = {Proceedings of the Fifth International Symposium held in
Versailles, September 29--October 2, 1987},
EDITOR = {Diday, E.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1988},
PAGES = {xiv+514},
ISBN = {0-444-70445-0},
MRCLASS = {62-06},
MRNUMBER = {89g:62009},
}
@article {MR89e:92063,
AUTHOR = {DRESS, A.W.M. and HAVEL, T.F.},
TITLE = {Shortest-path problems and molecular conformation},
NOTE = {Applications of graphs in chemistry and physics},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics},
VOLUME = {19},
YEAR = {1988},
NUMBER = {1-3},
PAGES = {129--144},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {92A40 (90B10)},
MRNUMBER = {89e:92063},
MRREVIEWER = {G. W. Peck},
}
@incollection {MR89c:51020,
AUTHOR = {Dress, A.W.M. and Havel, T.F.},
TITLE = {The fundamental theory of distance geometry},
BOOKTITLE = {Computer aided geometric reasoning, Vol.\ I, II
(Sophia-Antipolis, 1987)},
PAGES = {127--169},
PUBLISHER = {INRIA},
ADDRESS = {Rocquencourt},
YEAR = {1987},
MRCLASS = {51K05},
MRNUMBER = {89c:51020},
MRREVIEWER = {V. N. Berestovski{\u\i}},
}
@book {MR89b:92037,
TITLE = {Applications of graphs in chemistry and physics},
EDITOR = {Kennedy, J. W. and Quintas, L. V.},
NOTE = {Discrete Appl. Math. {\bf 19} (1988), no. 1-3},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1988},
PAGES = {i--viii and 1--416},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {92A40},
MRNUMBER = {89b:92037},
}
@book {MR89b:62130,
AUTHOR = {D{\`e}{\u\i}vison, M.},
TITLE = {Mnogomernoe shkalirovanie},
NOTE = {Metody naglyadnogo predstavleniya dannykh. [Methods for the
visual representation of data],
Translated from the English and with an appendix by V. S.
Kamenski\u\i,
With a preface by S. A. A\u\i vazyan and Kamenski\u\i},
PUBLISHER = {``Finansy i Statistika''},
ADDRESS = {Moscow},
YEAR = {1988},
PAGES = {256},
MRCLASS = {62H99},
MRNUMBER = {89b:62130},
}
@article {MR89a:92069,
AUTHOR = {Cozzens, Margaret B. and Leibowitz, Rochelle},
TITLE = {Multidimensional scaling and threshold graphs},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {31},
YEAR = {1987},
NUMBER = {2},
PAGES = {179--191},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25 (06A99)},
MRNUMBER = {89a:92069},
MRREVIEWER = {Fumiko Samejima},
}
@article {MR89a:62147,
AUTHOR = {Telegdi, L{\'a}szl{\'o}},
TITLE = {Investigation of the structure of binary variables},
JOURNAL = {Alkalmaz. Mat. Lapok},
FJOURNAL = {Alkalmazott Matematikai Lapok},
VOLUME = {13},
YEAR = {1987/88},
NUMBER = {1-2},
PAGES = {17--42},
ISSN = {0133-3399},
CODEN = {AMLAD8},
MRCLASS = {62H30 (62P10)},
MRNUMBER = {89a:62147},
}
@incollection {MR89a:62141,
AUTHOR = {BOCK, H.H.},
TITLE = {On the interface between cluster analysis, principal component
analysis, and multidimensional scaling},
BOOKTITLE = {Multivariate statistical modeling and data analysis
(Harrisonburg, Va., 1986)},
PAGES = {17--34},
PUBLISHER = {Reidel},
ADDRESS = {Dordrecht},
YEAR = {1987},
MRCLASS = {62H30 (62H25)},
MRNUMBER = {89a:62141},
}
@proceedings {MR88k:92093,
TITLE = {Developments in numerical ecology},
BOOKTITLE = {Proceedings of the NATO advanced research workshop on
numerical ecology held in Roscoff, June 3--11, 1986},
EDITOR = {Legendre, Pierre and Legendre, Louis},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1987},
PAGES = {xii+585},
ISBN = {3-540-16086-8},
MRCLASS = {92A17 (62P10)},
MRNUMBER = {88k:92093},
MRREVIEWER = {Ivar Heuch},
}
@article {MR88k:92037,
AUTHOR = {Schlick, Tamar and Peskin, Charles and Broyde, Suse and
Overton, Michael},
TITLE = {An analysis of the structural and energetic properties of
deoxyribose by potential energy methods},
JOURNAL = {J. Comput. Chem.},
FJOURNAL = {Journal of Computational Chemistry},
VOLUME = {8},
YEAR = {1987},
NUMBER = {8},
PAGES = {1199--1224},
ISSN = {0192-8651},
CODEN = {JCCHDD},
MRCLASS = {92A09 (92A08)},
MRNUMBER = {88k:92037},
}
@article {MR88k:15023,
AUTHOR = {FAREBROTHER, R.W.},
TITLE = {Three theorems with applications to {E}uclidean distance
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {95},
YEAR = {1987},
PAGES = {11--16},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A48 (92A27)},
MRNUMBER = {88k:15023},
MRREVIEWER = {Shao Kuan Li},
}
@proceedings {MR88j:62004,
TITLE = {Multivariate statistical modeling and data analysis},
BOOKTITLE = {Proceedings of the advanced symposium on multivariate modeling
and data analysis held at the sixty-fourth annual meeting of
the Virginia Academy of Sciences at James Madison University,
Harrisonburg, Va., May 15--16, 1986},
EDITOR = {Bozdogan, H. and Gupta, A. K.},
PUBLISHER = {D. Reidel Publishing Co.},
ADDRESS = {Dordrecht},
YEAR = {1987},
PAGES = {x+189},
ISBN = {90-277-2592-6},
MRCLASS = {62-06},
MRNUMBER = {88j:62004},
}
@incollection {MR88i:62107,
AUTHOR = {Critchley, F.},
TITLE = {Analysis of residuals and regional representation in nonmetric
multidimensional scaling},
BOOKTITLE = {Classification as a tool of research (Karlsruhe, 1985)},
PAGES = {67--77},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1986},
MRCLASS = {62H30},
MRNUMBER = {88i:62107},
}
@book {MR88h:51001,
TITLE = {Computer-aided geometric reasoning. {V}ol. {I}, {I}{I}},
EDITOR = {Crapo, Henry},
NOTE = {Papers from the INRIA workshop held in Sophia-Antipolis, June
22--26, 1987},
PUBLISHER = {Institut National de Recherche en Informatique et en
Automatique (INRIA)},
ADDRESS = {Rocquencourt},
YEAR = {1987},
PAGES = {Vol.\ I: 212 pp; Vol.\ II: pp.\ 213--372},
ISBN = {2-7261-0493-2},
MRCLASS = {51-06 (51-04)},
MRNUMBER = {88h:51001},
}
@book {MR88g:62217,
AUTHOR = {Torgerson, Warren S.},
TITLE = {Theory and methods of scaling},
NOTE = {With a foreword by Harold Gulliksen,
Reprint of the 1958 original},
PUBLISHER = {Robert E. Krieger Publishing Co. Inc.},
ADDRESS = {Melbourne, Fla.},
YEAR = {1985},
PAGES = {xiv+460},
ISBN = {0-89874-722-8},
MRCLASS = {62P15 (92A25)},
MRNUMBER = {88g:62217},
}
@proceedings {MR88g:62003,
TITLE = {Classification as a tool of research},
BOOKTITLE = {Proceedings of the ninth annual meeting of the German
Classification Society held at the University of Karlsruhe,
Karlsruhe, June 26--28, 1985},
EDITOR = {Gaul, W. and Schader, M.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1986},
PAGES = {xiv+502},
ISBN = {0-444-87980-3},
MRCLASS = {62-06 (92A25)},
MRNUMBER = {88g:62003},
}
@article {MR88e:92048,
AUTHOR = {Chubb, Charles},
TITLE = {Collapsing binary data for algebraic multidimensional
representation},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {30},
YEAR = {1986},
NUMBER = {2},
PAGES = {161--187},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25 (62P15)},
MRNUMBER = {88e:92048},
MRREVIEWER = {Fumiko Samejima},
}
@article {MR88e:53110,
AUTHOR = {Berestovski{\u\i}, V. N.},
TITLE = {Spaces with bounded curvature and distance geometry},
JOURNAL = {Sibirsk. Mat. Zh.},
FJOURNAL = {Akademiya Nauk SSSR. Sibirskoe Otdelenie. Sibirski\u\i \
Matematicheski\u\i\ Zhurnal},
VOLUME = {27},
YEAR = {1986},
NUMBER = {1},
PAGES = {11--25, 197},
ISSN = {0037-4474},
MRCLASS = {53C70 (51K05)},
MRNUMBER = {88e:53110},
MRREVIEWER = {A. V. Pogorelov},
}
@article {MR88e:51029,
AUTHOR = {Fauring, Patricia and Guti{\'e}rrez, Flora and Larotonda,
Angel},
TITLE = {The variety of distances between points},
JOURNAL = {Rev. Un. Mat. Argentina},
FJOURNAL = {Revista de la Uni\'on Matem\'atica Argentina},
VOLUME = {31},
YEAR = {1984},
NUMBER = {4},
PAGES = {179--186 (1985)},
ISSN = {0041-6932},
CODEN = {RMAFAG},
MRCLASS = {51K05},
MRNUMBER = {88e:51029},
MRREVIEWER = {B. Klotzek},
}
@article {MR88c:62004,
AUTHOR = {Friedman, Jerome H.},
TITLE = {Exploratory projection pursuit},
JOURNAL = {J. Amer. Statist. Assoc.},
FJOURNAL = {Journal of the American Statistical Association},
VOLUME = {82},
YEAR = {1987},
NUMBER = {397},
PAGES = {249--266},
ISSN = {0162-1459},
CODEN = {JSTNAL},
MRCLASS = {62-07 (62G05)},
MRNUMBER = {88c:62004},
}
@proceedings {MR88a:62006,
TITLE = {Data analysis and informatics. {I}{V}},
BOOKTITLE = {Proceedings of the fourth international symposium held in
Versailles, October 9--11, 1985},
EDITOR = {Diday, E. and Escoufier, Y. and Lebart, L. and Pages, J. and
Schektman, Y. and Tomassone, R.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1986},
PAGES = {xiv+764},
ISBN = {0-444-70061-7},
MRCLASS = {62-06 (68-06)},
MRNUMBER = {88a:62006},
}
@article {MR87k:62104,
AUTHOR = {BENEDICT, J.P. and CHANG, T.C.},
TITLE = {On the quadratic diversity and its relationship to
multidimensional scaling},
JOURNAL = {Utilitas Math.},
FJOURNAL = {Utilitas Mathematica. A Canadian Journal of Applied
Mathematics, Computer Science, and Statistics},
VOLUME = {29},
YEAR = {1986},
PAGES = {177--191},
ISSN = {0315-3681},
CODEN = {UTMADA},
MRCLASS = {62H30 (94A17)},
MRNUMBER = {87k:62104},
MRREVIEWER = {C. R. Rao},
}
@article {MR87k:51042,
AUTHOR = {Sippl, Manfred J. and Scheraga, Harold A.},
TITLE = {Cayley-{M}enger coordinates},
JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
FJOURNAL = {Proceedings of the National Academy of Sciences of the United
States of America},
VOLUME = {83},
YEAR = {1986},
NUMBER = {8},
PAGES = {2283--2287},
ISSN = {0027-8424},
CODEN = {PNASA6},
MRCLASS = {51K05 (81G55)},
MRNUMBER = {87k:51042},
MRREVIEWER = {Grattan P. Murphy},
}
@article {MR87k:05142,
AUTHOR = {Bandelt, Hans-J{\"u}rgen and Mulder, Henry Martyn},
TITLE = {Distance-hereditary graphs},
JOURNAL = {J. Combin. Theory Ser. B},
FJOURNAL = {Journal of Combinatorial Theory. Series B},
VOLUME = {41},
YEAR = {1986},
NUMBER = {2},
PAGES = {182--208},
ISSN = {0095-8956},
CODEN = {JCBTB8},
MRCLASS = {05C99 (51K99)},
MRNUMBER = {87k:05142},
MRREVIEWER = {R. A. Melter},
}
@book {MR87h:62110,
AUTHOR = {Terekhina, A. Yu.},
TITLE = {Analiz dannykh metodami mnogomernogo shkalirovaniya},
PUBLISHER = {``Nauka''},
ADDRESS = {Moscow},
YEAR = {1986},
PAGES = {168},
MRCLASS = {62H30 (62-07 62P15)},
MRNUMBER = {87h:62110},
}
@article {MR87g:92050,
AUTHOR = {Hartmann, Wolfgang},
TITLE = {Modern methods of data analysis in sociology},
NOTE = {Translated from the German by Ryszard Zieli\'nski},
JOURNAL = {Mat. Stos.},
FJOURNAL = {Roczniki Polskiego Towarzystwa Matematycznego. Seria III.
Matematyka Stosowana},
VOLUME = {24},
YEAR = {1985},
PAGES = {21--48},
ISSN = {0137-2890},
MRCLASS = {92A20},
MRNUMBER = {87g:92050},
MRREVIEWER = {Jacek Koronacki},
}
@book {MR87g:62003,
AUTHOR = {DIGBY, P.G.N. and Gower, J.C.},
TITLE = {Ordination and classification},
PUBLISHER = {Presses de l'Universit\'e de Montr\'eal},
ADDRESS = {Montreal, Que.},
YEAR = {1986},
PAGES = {87},
ISBN = {2-7606-0742-9},
MRCLASS = {62-07 (62H30)},
MRNUMBER = {87g:62003},
MRREVIEWER = {A. D. Gordon},
}
@proceedings {MR87f:90003b,
TITLE = {X symposium on operations research. {P}art {I}{I}. {S}ections
6--10},
BOOKTITLE = {Proceedings of the symposium held at the Universit\"at
M\"unchen, Munich, August 26--28, 1985},
EDITOR = {Beckmann, Martin J. and Gaede, Karl-Walter and Ritter, Klaus
and Schneeweiss, Hans},
PUBLISHER = {Verlagsgruppe Athen\"aum/Hain/Hanstein},
ADDRESS = {K\"onigstein/Ts.},
YEAR = {1986},
PAGES = {xx+574},
ISBN = {3-445-02398-0},
MRCLASS = {90-06},
MRNUMBER = {87f:90003b},
}
@proceedings {MR87f:90003a,
TITLE = {X symposium on operations research. {P}art {I}. {S}ections
1--5},
BOOKTITLE = {Proceedings of the symposium held at the Universit\"at
M\"unchen, Munich, August 26--28, 1985},
EDITOR = {Beckmann, Martin J. and Gaede, Karl-Walter and Ritter, Klaus
and Schneeweiss, Hans},
PUBLISHER = {Verlagsgruppe Athen\"aum/Hain/Hanstein},
ADDRESS = {K\"onigstein/Ts.},
YEAR = {1986},
PAGES = {xx+707},
ISBN = {3-445-02397-2},
MRCLASS = {90-06},
MRNUMBER = {87f:90003a},
}
@article {MR87e:62103,
AUTHOR = {de Leeuw, Jan and Bettonvil, Bert},
TITLE = {An upper bound for sstress},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {51},
YEAR = {1986},
NUMBER = {1},
PAGES = {149--153},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62P15},
MRNUMBER = {87e:62103},
}
@article {MR87c:62204,
AUTHOR = {Brady, Henry E.},
TITLE = {Statistical consistency and hypothesis testing for nonmetric
multidimensional scaling},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {50},
YEAR = {1985},
NUMBER = {4},
PAGES = {509--537},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62P15},
MRNUMBER = {87c:62204},
}
@article {MR86m:92050,
AUTHOR = {Manicke, Robert L.},
TITLE = {On the stochastic geometrical foundations of metric
multidimensional scaling},
JOURNAL = {Math. Social Sci.},
FJOURNAL = {Mathematical Social Sciences},
VOLUME = {9},
YEAR = {1985},
NUMBER = {1},
PAGES = {53--62},
ISSN = {0165-4896},
CODEN = {MSOSDD},
MRCLASS = {92A25 (54E35)},
MRNUMBER = {86m:92050},
MRREVIEWER = {Joachim Krauth},
}
@article {MR86j:62133,
AUTHOR = {Gower, J.C.},
TITLE = {Properties of {E}uclidean and non-{E}uclidean distance
matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {67},
YEAR = {1985},
PAGES = {81--97},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {62H20 (15A57)},
MRNUMBER = {86j:62133},
MRREVIEWER = {Ferenc Juh{\'a}sz},
}
@article {MR86g:65084,
AUTHOR = {Mathar, Rudolf},
TITLE = {The best {E}uclidian fit to a given distance matrix in
prescribed dimensions},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {67},
YEAR = {1985},
PAGES = {1--6},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {65F30 (15A60)},
MRNUMBER = {86g:65084},
MRREVIEWER = {A. R. Amir-Mo{\'e}z},
}
@book {MR86f:90002b,
TITLE = {Contributions to operations research and mathematical
economics. {V}ol. {I}{I}},
EDITOR = {Hammer, G. and Pallaschke, D.},
PUBLISHER = {Verlagsgruppe Athen\"aum/Hain/Hanstein},
ADDRESS = {K\"onigstein/Ts.},
YEAR = {1984},
PAGES = {i--x and 403--674},
ISBN = {3-445-02382-4},
MRCLASS = {90-06},
MRNUMBER = {86f:90002b},
}
@book {MR86f:90002a,
TITLE = {Contributions to operations research and mathematical
economics. {V}ol. {I}},
EDITOR = {Hammer, G. and Pallaschke, D.},
PUBLISHER = {Verlagsgruppe Athen\"aum/Hain/Hanstein},
ADDRESS = {K\"onigstein/Ts.},
YEAR = {1984},
PAGES = {ix+400},
ISBN = {3-445-02381-6},
MRCLASS = {90-06},
MRNUMBER = {86f:90002a},
}
@book {MR86f:62080,
AUTHOR = {Seber, G. A. F.},
TITLE = {Multivariate observations},
PUBLISHER = {John Wiley \& Sons Inc.},
ADDRESS = {New York},
YEAR = {1984},
PAGES = {xx+686},
ISBN = {0-471-88104-X},
MRCLASS = {62Hxx},
MRNUMBER = {86f:62080},
MRREVIEWER = {Anant M. Kshirsagar},
}
@article {MR86f:51023,
AUTHOR = {Mikha{\u\i}lichenko, G. G.},
TITLE = {Group symmetry and phenomenological symmetry in geometry},
JOURNAL = {Sibirsk. Mat. Zh.},
FJOURNAL = {Akademiya Nauk SSSR. Sibirskoe Otdelenie. Sibirski\u\i \
Matematicheski\u\i\ Zhurnal},
VOLUME = {25},
YEAR = {1984},
NUMBER = {5},
PAGES = {99--113},
ISSN = {0037-4474},
MRCLASS = {51K99},
MRNUMBER = {86f:51023},
MRREVIEWER = {V. N. Berestovski{\u\i}},
}
@article {MR86e:92045,
AUTHOR = {HAVEL, T.F. and KUNTZ, I.D. and CRIPPEN, B.},
TITLE = {Errata: ``{T}he theory and practice of distance geometry''
[{B}ull. {M}ath. {B}iol. {\bf 45} (1983), no. 5, 665--720;
{M}{R} 84k:92037]},
JOURNAL = {Bull. Math. Biol.},
FJOURNAL = {Bulletin of Mathematical Biology},
VOLUME = {47},
YEAR = {1985},
NUMBER = {1},
PAGES = {157},
ISSN = {0092-8240},
CODEN = {BMBTAP},
MRCLASS = {92A90},
MRNUMBER = {86e:92045},
}
@book {MR86d:92001,
TITLE = {Trends in mathematical psychology},
EDITOR = {Degreef, E. and van Buggenhaut, J.},
NOTE = {Papers presented at the 14th European mathematical psychology
group meeting held in Brussels, September 12--14, 1983},
PUBLISHER = {Elsevier Scientific Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1984},
PAGES = {xiii+478},
ISBN = {0-444-87512-3},
MRCLASS = {92-06 (62-06 90-06)},
MRNUMBER = {86d:92001},
}
@article {MR86d:62093,
AUTHOR = {ten Berge, Jos M. F.},
TITLE = {A joint treatment of varimax rotation and the problem of
diagonalizing symmetric matrices simultaneously in the
least-squares sense},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {49},
YEAR = {1984},
NUMBER = {3},
PAGES = {347--358},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62H25},
MRNUMBER = {86d:62093},
MRREVIEWER = {Byron J. T. Morgan},
}
@article {MR86b:92029,
AUTHOR = {Doignon, Jean-Paul and Ducamp, Andr{\'e} and Falmagne,
Jean-Claude},
TITLE = {On realizable biorders and the biorder dimension of a
relation},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {28},
YEAR = {1984},
NUMBER = {1},
PAGES = {73--109},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A27 (90A10)},
MRNUMBER = {86b:92029},
MRREVIEWER = {Fumiko Samejima},
}
@book {MR86b:62012,
AUTHOR = {Tosstorff, G{\"u}nther},
TITLE = {Methoden der geometrischen {D}atenanalyse und ihre {A}nwendung
bei der {U}ntersuchung des {E}ntwicklungsprozesses},
PUBLISHER = {Physica-Verlag},
ADDRESS = {Heidelberg},
YEAR = {1983},
PAGES = {183},
ISBN = {3-7908-0302-2},
MRCLASS = {62-07 (62H25 62H30)},
MRNUMBER = {86b:62012},
}
@book {MR85m:62114,
AUTHOR = {Krafft, Olaf},
TITLE = {Multivariate deskriptive statistische {V}erfahren},
PUBLISHER = {Westf\"alische Wilhelms-Universit\"at M\"unster Institut f\"ur
Mathematische Statistik},
ADDRESS = {M\"unster},
YEAR = {1983},
PAGES = {iv+95},
MRCLASS = {62H05 (62-07)},
MRNUMBER = {85m:62114},
MRREVIEWER = {Franz Streit},
}
@article {MR85m:54050,
AUTHOR = {Naimpally, S. A. and Singh, K. L. and Whitfield, J. H. M.},
TITLE = {Fixed and common fixed points for nonexpansive mappings in
convex metric spaces},
JOURNAL = {Math. Sem. Notes Kobe Univ.},
FJOURNAL = {Kobe University. Mathematics Seminar Notes},
VOLUME = {11},
YEAR = {1983},
NUMBER = {2},
PAGES = {239--248},
ISSN = {0385-633X},
MRCLASS = {54H25},
MRNUMBER = {85m:54050},
MRREVIEWER = {William O. Ray},
}
@inproceedings {MR85m:51007,
AUTHOR = {Dubikajtis, L.},
TITLE = {A system of axioms for plane {E}uclidean, hyperbolic and
elliptic geometries},
BOOKTITLE = {Proceedings of the conference on combinatorial and incidence
geometry: principles and applications (La Mendola, 1982)},
PAGES = {283--288},
PUBLISHER = {Vita e Pensiero},
ADDRESS = {Milan},
YEAR = {1984},
MRCLASS = {51K05 (51M05 51M10)},
MRNUMBER = {85m:51007},
MRREVIEWER = {L. M. Kelly},
}
@article {MR85k:05093,
AUTHOR = {Fishburn, Peter C.},
TITLE = {On the sphericity and cubicity of graphs},
JOURNAL = {J. Combin. Theory Ser. B},
FJOURNAL = {Journal of Combinatorial Theory. Series B},
VOLUME = {35},
YEAR = {1983},
NUMBER = {3},
PAGES = {309--318},
ISSN = {0095-8956},
CODEN = {JCBTB8},
MRCLASS = {05C99},
MRNUMBER = {85k:05093},
MRREVIEWER = {M. C. Golumbic},
}
@article {MR85h:62127,
AUTHOR = {Tversky, Amos and Rinott, Yosef and Newman, Charles M.},
TITLE = {Nearest neighbor analysis of point processes: applications to
multidimensional scaling},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {27},
YEAR = {1983},
NUMBER = {3},
PAGES = {235--250},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {62M99 (62P15 92A25)},
MRNUMBER = {85h:62127},
}
@incollection {MR85h:62082,
AUTHOR = {DE LEEUW, J. and HEISER, W.},
TITLE = {Theory of multidimensional scaling},
BOOKTITLE = {Classification, pattern recognition and reduction of
dimensionality},
PAGES = {285--316},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1982},
MRCLASS = {62H99},
MRNUMBER = {85h:62082},
MRREVIEWER = {M. A. Chmielewski},
}
@article {MR85g:92019,
AUTHOR = {Feger, Hubert and Bien, Walter},
TITLE = {Network unfolding},
JOURNAL = {Social Networks},
FJOURNAL = {Social Networks. An International Journal of Structural
Analysis},
VOLUME = {4},
YEAR = {1982/83},
NUMBER = {3},
PAGES = {257--283},
ISSN = {0378-8733},
MRCLASS = {92A20 (05C99)},
MRNUMBER = {85g:92019},
MRREVIEWER = {E. C. Johnsen},
}
@book {MR85g:62080,
TITLE = {Multivariate statistische {V}erfahren},
EDITOR = {Fahrmeir, Ludwig and Hamerle, Alfred},
PUBLISHER = {Walter de Gruyter \& Co.},
ADDRESS = {Berlin},
YEAR = {1984},
PAGES = {xiii+796},
ISBN = {3-11-008509-7},
MRCLASS = {62Hxx},
MRNUMBER = {85g:62080},
}
@article {MR85e:62219,
AUTHOR = {Cailliez, Francis},
TITLE = {The analytical solution of the additive constant problem},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {48},
YEAR = {1983},
NUMBER = {2},
PAGES = {305--308},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62P15 (15A24)},
MRNUMBER = {85e:62219},
MRREVIEWER = {Huynh Huynh},
}
@article {MR85e:62123,
AUTHOR = {de Leeuw, Jan},
TITLE = {Differentiability of {K}ruskal's stress at a local minimum},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {49},
YEAR = {1984},
NUMBER = {1},
PAGES = {111--113},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62H99},
MRNUMBER = {85e:62123},
}
@book {MR85a:62184,
AUTHOR = {Litvak, B. G.},
TITLE = {Ekspertnaya informatsiya},
NOTE = {Metody polucheniya i analiza. [Methods of collection and
analysis]},
PUBLISHER = {``Radio i Svyaz\cprime''},
ADDRESS = {Moscow},
YEAR = {1982},
PAGES = {184},
MRCLASS = {62P25 (62-07 62H99 90A05 92A25)},
MRNUMBER = {85a:62184},
MRREVIEWER = {B. G. Mirkin},
}
@article {MR84m:62078,
AUTHOR = {Deville, J.-C. and Saporta, G.},
TITLE = {Correspondence analysis, with an extension towards nominal
time series},
JOURNAL = {J. Econometrics},
FJOURNAL = {Journal of Econometrics},
VOLUME = {22},
YEAR = {1983},
NUMBER = {1-2},
PAGES = {169--189},
ISSN = {0304-4076},
CODEN = {JECMB6},
MRCLASS = {62H20},
MRNUMBER = {84m:62078},
}
@book {MR84m:62002,
TITLE = {Classification, pattern recognition and reduction of
dimensionality},
EDITOR = {Krishnaiah, Paruchuri R. and Kanal, Laveen N.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1982},
PAGES = {xxii+903},
ISBN = {0-444-86217-*rX},
MRCLASS = {62-06 (68-06)},
MRNUMBER = {84m:62002},
}
@article {MR84k:92037,
AUTHOR = {HAVEL, T.F. and KUNTZ, I.D. and CRIPPEN, G.M.},
TITLE = {The theory and practice of distance geometry},
JOURNAL = {Bull. Math. Biol.},
FJOURNAL = {Bulletin of Mathematical Biology},
VOLUME = {45},
YEAR = {1983},
NUMBER = {5},
PAGES = {665--720},
ISSN = {0092-8240},
CODEN = {BMBTAP},
MRCLASS = {92A90 (51K99 52A99)},
MRNUMBER = {84k:92037},
MRREVIEWER = {J. E. Valentine},
}
@book {MR84k:62080,
AUTHOR = {Takeuchi, Kei and Yanai, Haruo and Mukherjee, Bishwa Nath},
TITLE = {The foundations of multivariate analysis},
NOTE = {A unified approach by means of projection onto linear
subspaces,
A Halsted Press Book},
PUBLISHER = {John Wiley \&\ Sons Inc.},
ADDRESS = {New York},
YEAR = {1982},
PAGES = {xi+458},
ISBN = {0-85226-964-1},
MRCLASS = {62Hxx (62-02)},
MRNUMBER = {84k:62080},
MRREVIEWER = {W. N. Venables},
}
@article {MR84j:52019,
AUTHOR = {Yang, Lu and Zhang, Jing Zhong},
TITLE = {The concept of the rank of an abstract distance geometry},
JOURNAL = {J. China Univ. Sci. Tech.},
FJOURNAL = {Journal of China University of Science and Technology.
Zhongguo Kexue Jishu Daxue Xuebao},
VOLUME = {10},
YEAR = {1980},
NUMBER = {4},
PAGES = {52--65},
MRCLASS = {52A50 (51K05)},
MRNUMBER = {84j:52019},
}
@book {MR84f:62146,
AUTHOR = {Davison, Mark L.},
TITLE = {Multidimensional scaling},
PUBLISHER = {John Wiley \&\ Sons Ltd.},
ADDRESS = {Chichester},
YEAR = {1983},
PAGES = {xiv+242},
ISBN = {0-471-86417-X},
MRCLASS = {62P15 (92A25)},
MRNUMBER = {84f:62146},
}
@book {MR84f:00036,
AUTHOR = {Rapoport, Anatol},
TITLE = {Mathematical models in the social and behavioral sciences},
NOTE = {Based on a translation of the German original},
PUBLISHER = {John Wiley \&\ Sons Inc.},
ADDRESS = {New York},
YEAR = {1983},
PAGES = {xii+507},
ISBN = {0-471-86449-8},
MRCLASS = {00A71 (90-01 92-01)},
MRNUMBER = {84f:00036},
MRREVIEWER = {Fred W. Roush},
}
@book {MR84c:51003,
TITLE = {Problems in discrete geometry, 1980},
EDITOR = {Moser, W. O. J. and Blind, G. and Klee, V. and Rousseau, C.
and Goodman, J. and Monson, B. and Wetzel, J. and Kelly, L. M.
and Purdy, G. and Wilker, J.},
EDITION = {Fifth},
PUBLISHER = {William Moser Department of Mathematics McGill University},
ADDRESS = {Montreal, Que.},
YEAR = {1980},
PAGES = {iv+42},
MRCLASS = {51-02 (05B40 51K05)},
MRNUMBER = {84c:51003},
}
@book {MR84b:00037,
TITLE = {Sistemnye issledovaniya},
EDITOR = {Gvishiani, D. M. and Sadovski{\u\i}, V. N.},
NOTE = {Metodologicheskie problemy. [Methodological problems],
Ezhegodnik 1981. [Yearbook 1981]},
PUBLISHER = {``Nauka''},
ADDRESS = {Moscow},
YEAR = {1981},
PAGES = {384},
MRCLASS = {00A69 (92-06 93-06)},
MRNUMBER = {84b:00037},
}
@book {MR84a:62086,
AUTHOR = {Johnson, Richard Arnold and Wichern, Dean W.},
TITLE = {Applied multivariate statistical analysis},
PUBLISHER = {Prentice-Hall Inc.},
ADDRESS = {Englewood Cliffs, N.J.},
YEAR = {1982},
PAGES = {xiii+594},
ISBN = {0-13-041400-X},
MRCLASS = {62H15 (62H25 62H30)},
MRNUMBER = {84a:62086},
MRREVIEWER = {Dennis L. Young},
}
@article {MR83m:62138,
AUTHOR = {Miyano, Hisao and Inukai, Yukio},
TITLE = {Sequential estimation in multidimensional scaling},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {47},
YEAR = {1982},
NUMBER = {3},
PAGES = {321--336},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62L12 (62H99)},
MRNUMBER = {83m:62138},
}
@article {MR83m:62107,
AUTHOR = {Ramsay, J. O.},
TITLE = {Some statistical approaches to multidimensional scaling data},
NOTE = {With discussion and a reply by the author},
JOURNAL = {J. Roy. Statist. Soc. Ser. A},
FJOURNAL = {Journal of the Royal Statistical Society. Series A. General},
VOLUME = {145},
YEAR = {1982},
NUMBER = {3},
PAGES = {285--312},
ISSN = {0035-9238},
CODEN = {JSTAAG},
MRCLASS = {62H99 (62-07)},
MRNUMBER = {83m:62107},
}
@article {MR83j:62156,
AUTHOR = {Takane, Yoshio and Carroll, J. Douglas},
TITLE = {Nonmetric maximum likelihood multidimensional scaling from
directional rankings of similarities},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {46},
YEAR = {1981},
NUMBER = {4},
PAGES = {389--405},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {62P15},
MRNUMBER = {83j:62156},
}
@incollection {MR83j:53072,
AUTHOR = {Berger, Marcel},
TITLE = {Une caract\'erisation purement m\'etrique des vari\'et\'es
riemanniennes \`a courbure constante},
BOOKTITLE = {E. B. Christoffel (Aachen/Monschau, 1979)},
PAGES = {480--492},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {1981},
MRCLASS = {53C70 (51K99 53B20)},
MRNUMBER = {83j:53072},
MRREVIEWER = {Paul E. Ehrlich},
}
@book {MR83i:92051,
AUTHOR = {Eckes, Thomas and Ro{\ss}bach, Helmut},
TITLE = {Clusteranalysen},
NOTE = {Kohlhammer Standards Psychologie. [Kohlhammer Standard
Psychology]},
PUBLISHER = {Verlag W. Kohlhammer},
ADDRESS = {Stuttgart},
YEAR = {1980},
PAGES = {124},
ISBN = {3-17-001361-0},
MRCLASS = {92A25 (62H30)},
MRNUMBER = {83i:92051},
}
@book {MR83i:81073,
AUTHOR = {CRIPPEN, G.M.},
TITLE = {Distance geometry and conformational calculations},
PUBLISHER = {Research Studies Press [John Wiley \&\ Sons]},
ADDRESS = {Chichester},
YEAR = {1981},
PAGES = {ii+58},
ISBN = {0-471-27991-9},
MRCLASS = {81G35 (51K05)},
MRNUMBER = {83i:81073},
}
@article {YH38,
author = "G. Young and A.S. Householder",
title = "Discussion of a set of points in terms of their
mutual distances",
journal = "Psychometrika",
year = "1938",
volume = "3",
pages = "19-22"}
@article {MR83h:92080,
AUTHOR = {Young, Forrest W.},
TITLE = {Quantitative analysis of qualitative data},
JOURNAL = {Psychometrika},
FJOURNAL = {Psychometrika. A Journal Devoted to the Development of
Psychology as a Quantitative Rational Science},
VOLUME = {46},
YEAR = {1981},
NUMBER = {4},
PAGES = {357--388},
ISSN = {0033-3123},
CODEN = {PSYKAZ},
MRCLASS = {92A25},
MRNUMBER = {83h:92080},
}
@article {MR83h:92079,
AUTHOR = {Colonius, H. and Schulze, H.-H.},
TITLE = {Tree structures for proximity data},
JOURNAL = {British J. Math. Statist. Psych.},
FJOURNAL = {The British Journal of Mathematical and Statistical
Psychology},
VOLUME = {34},
YEAR = {1981},
NUMBER = {2},
PAGES = {167--180},
ISSN = {0007-1102},
CODEN = {BJMSAK},
MRCLASS = {92A25 (05C05 06A99 90A10)},
MRNUMBER = {83h:92079},
MRREVIEWER = {Fred W. Roush},
}
@book {MR83f:92002,
TITLE = {Normativnye i deskriptivnye modeli prinyatiya reshenii},
EDITOR = {Lomov, B. F. and Krylov, V. Yu. and Krylova, N. V. and Luce,
R. D.},
NOTE = {Papers from the Soviet-American Seminar held in Tbilisi, March
28--April 4, 1979},
PUBLISHER = {``Nauka''},
ADDRESS = {Moscow},
YEAR = {1981},
PAGES = {351},
MRCLASS = {92-06 (92A25)},
MRNUMBER = {83f:92002},
}
@article {MR83d:92110,
AUTHOR = {Lee, Sik Yum and Bentler, P. M.},
TITLE = {Functional relations in multidimensional scaling},
JOURNAL = {British J. Math. Statist. Psych.},
FJOURNAL = {The British Journal of Mathematical and Statistical
Psychology},
VOLUME = {33},
YEAR = {1980},
NUMBER = {2},
PAGES = {142--150},
ISSN = {0007-1102},
CODEN = {BJMSAK},
MRCLASS = {92A25 (62P15)},
MRNUMBER = {83d:92110},
MRREVIEWER = {P. Suppes},
}
@article {MR83c:92103,
AUTHOR = {Smithson, Michael},
TITLE = {Applications of fuzzy set concepts to behavioral sciences},
JOURNAL = {Math. Social Sci.},
FJOURNAL = {Mathematical Social Sciences},
VOLUME = {2},
YEAR = {1982},
NUMBER = {3},
PAGES = {257--274},
ISSN = {0165-4896},
CODEN = {MSOSDD},
MRCLASS = {92A90 (03E72 62H30 68G10)},
MRNUMBER = {83c:92103},
}
@article {MR83a:51024,
AUTHOR = {Gower, J.C.},
TITLE = {{E}uclidean distance geometry},
JOURNAL = {Math. Sci.},
FJOURNAL = {The Mathematical Scientist},
VOLUME = {7},
YEAR = {1982},
NUMBER = {1},
PAGES = {1--14},
ISSN = {0312-3685},
MRCLASS = {51M05 (51K05)},
MRNUMBER = {83a:51024},
MRREVIEWER = {J. Strommer},
}
@book {MR82m:92071b,
AUTHOR = {Legendre, Louis and Legendre, Pierre},
TITLE = {\'{E}cologie num\'erique. {T}ome 2},
NOTE = {La structure des donn\'ees \'ecologiques. [The structure of
ecological data]},
PUBLISHER = {Masson},
ADDRESS = {Paris},
YEAR = {1979},
PAGES = {viii+254 pp. (loose errata)},
ISBN = {2-225-62414-3},
MRCLASS = {92A17 (62P10)},
MRNUMBER = {82m:92071b},
}
@book {MR82m:92071a,
AUTHOR = {Legendre, Louis and Legendre, Pierre},
TITLE = {\'{E}cologie num\'erique. {T}ome 1},
NOTE = {Le traitement multiple des donn\'ees \'ecologiques. [The
multiple treatment of ecological data],
With a preface by Ram\'on Margalef},
PUBLISHER = {Masson},
ADDRESS = {Paris},
YEAR = {1979},
PAGES = {xiv+197 pp. (loose errata)},
ISBN = {2-225-62414-3},
MRCLASS = {92A17 (62P10)},
MRNUMBER = {82m:92071a},
}
@incollection {MR82k:53065,
AUTHOR = {Alexander, S.},
TITLE = {Distance geometry in {R}iemannian manifolds-with-boundary},
BOOKTITLE = {Global differential geometry and global analysis (Berlin,
1979)},
PAGES = {12--18},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1981},
MRCLASS = {53C22},
MRNUMBER = {82k:53065},
MRREVIEWER = {Gudlaugur Thorbergsson},
}
@proceedings {MR82i:53001,
TITLE = {Global differential geometry and global analysis},
BOOKTITLE = {Proceedings of the Colloquium held at the Technical University
of Berlin, Berlin, November 21--24, 1979},
EDITOR = {Ferus, Dirk and K{\"u}hnel, Wolfgang and Wegner, Bernd},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1981},
PAGES = {xi+299},
ISBN = {3-540-10285-X},
MRCLASS = {53-06},
MRNUMBER = {82i:53001},
}
@book {MR82h:62097,
AUTHOR = {Chatfield, Christopher and Collins, Alexander J.},
TITLE = {Introduction to multivariate analysis},
PUBLISHER = {Chapman \&\ Hall},
ADDRESS = {London},
YEAR = {1980},
PAGES = {x+246},
ISBN = {0-412-16030-7},
MRCLASS = {62H99},
MRNUMBER = {82h:62097},
MRREVIEWER = {I. Olkin},
}
@proceedings {MR82f:62004,
TITLE = {Data analysis and informatics},
BOOKTITLE = {Proceedings of the Second International Symposium held in
Versailles, October 17--19, 1979},
EDITOR = {Diday, E. and Lebart, L. and Tomassone, R.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1980},
PAGES = {viii+790},
ISBN = {0-444-86005-3},
MRCLASS = {62-02},
MRNUMBER = {82f:62004},
}
@proceedings {MR82d:62108,
TITLE = {Klassifikatsiya i klaster},
BOOKTITLE = {Proceedings of an Advanced Seminar held at the University of
Wisconsin, Madison, Wis., May 3--5, 1976},
EDITOR = {Van Ryzin, John},
NOTE = {Translated from the English by P. P. Kol\cprime cov},
PUBLISHER = {``Mir''},
ADDRESS = {Moscow},
YEAR = {1980},
PAGES = {389},
MRCLASS = {62H30},
MRNUMBER = {82d:62108},
}
@book {MR82c:90090,
AUTHOR = {Nijkamp, Peter},
TITLE = {Multidimensional spatial data and decision analysis},
NOTE = {In association with Piet Rietveld, Jaap Spronk, Wouter van
Veenendaal and Henk Voogd},
PUBLISHER = {John Wiley \&\ Sons Ltd.},
ADDRESS = {Chichester},
YEAR = {1979},
PAGES = {xii+322},
ISBN = {0-471-27603-0},
MRCLASS = {90C31 (62H20 92A90 94D05)},
MRNUMBER = {82c:90090},
MRREVIEWER = {J. K. Ord},
}
@article {MR82b:92047,
AUTHOR = {Titiev, Robert J.},
TITLE = {A locus problem involving the three-dimensional city-block
metric},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {22},
YEAR = {1980},
NUMBER = {3},
PAGES = {209--217},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25 (03C68 51F99)},
MRNUMBER = {82b:92047},
}
@article {MR82b:92041,
AUTHOR = {Whitmore, R. C. and Harner, E. J.},
TITLE = {Analyses of multivariately determined community matrices using
cluster analysis and multidimensional scaling},
JOURNAL = {Biometrical J.},
FJOURNAL = {Biometrical Journal},
VOLUME = {22},
YEAR = {1980},
NUMBER = {8},
PAGES = {715--723},
ISSN = {0323-3847},
CODEN = {BIJODN},
MRCLASS = {92A17},
MRNUMBER = {82b:92041},
}
@book {MR82a:62002,
AUTHOR = {Hartmann, Wolfgang},
TITLE = {Geometrische {M}odelle zur {A}nalyse empirischer {D}aten},
PUBLISHER = {Akademie-Verlag},
ADDRESS = {Berlin},
YEAR = {1979},
PAGES = {255},
MRCLASS = {62-01 (62H25 62P25)},
MRNUMBER = {82a:62002},
MRREVIEWER = {Hilmar Drygas},
}
@article {MR81m:62112,
AUTHOR = {Schmid, Friedrich},
TITLE = {\"{U}ber ein {P}roblem der mehrdimensionalen {S}kalierung},
JOURNAL = {Statist. Hefte (N.F.)},
FJOURNAL = {Statistische Hefte. Neue Folge},
VOLUME = {21},
YEAR = {1980},
NUMBER = {2},
PAGES = {140--144},
ISSN = {0039-0631},
CODEN = {STHED9},
MRCLASS = {62H30},
MRNUMBER = {81m:62112},
MRREVIEWER = {Z. {\v{S}}id{\'a}k},
}
@article {MR81k:92063,
AUTHOR = {Klapper, Michael H. and DeBrota, David},
TITLE = {Use of {C}ayley-{M}enger determinants in the calculation of
molecular structures},
JOURNAL = {J. Comput. Phys.},
FJOURNAL = {Journal of Computational Physics},
VOLUME = {37},
YEAR = {1980},
NUMBER = {1},
PAGES = {56--69},
ISSN = {0021-9991},
CODEN = {JCTPAH},
MRCLASS = {92A40 (51K05)},
MRNUMBER = {81k:92063},
MRREVIEWER = {John Cantwell},
}
@book {MR81k:62083,
AUTHOR = {Wilke, J{\"u}rgen},
TITLE = {Bibliographie zu {V}erfahren der multivariaten {S}tatistik,
der mehrdimensionalen {K}lassifikation und ihre {A}nwendungen
in {N}atur- und {G}esellschaftswissenschaften 1901--1975. {I},
{I}{I}},
NOTE = {With an introduction in German, Russian, English and French},
PUBLISHER = {Akademie-Verlag},
ADDRESS = {Berlin},
YEAR = {1978},
PAGES = {1123},
MRCLASS = {62H25 (62H30)},
MRNUMBER = {81k:62083},
}
@article {MR81j:62115,
AUTHOR = {Sibson, Robin},
TITLE = {Studies in the robustness of multidimensional scaling:
perturbational analysis of classical scaling},
JOURNAL = {J. Roy. Statist. Soc. Ser. B},
FJOURNAL = {Journal of the Royal Statistical Society. Series B.
Methodological},
VOLUME = {41},
YEAR = {1979},
NUMBER = {2},
PAGES = {217--229},
ISSN = {0035-9246},
CODEN = {JSTBAJ},
MRCLASS = {62H99 (62P15)},
MRNUMBER = {81j:62115},
MRREVIEWER = {Masashi Okamoto},
}
@book {MR81j:62001,
AUTHOR = {Srivastava, Muni Shanker and Khatri, C. G.},
TITLE = {An introduction to multivariate statistics},
PUBLISHER = {North-Holland},
ADDRESS = {New York},
YEAR = {1979},
PAGES = {xvi+350},
ISBN = {0-444-00302-9},
MRCLASS = {62-01 (62Hxx)},
MRNUMBER = {81j:62001},
MRREVIEWER = {Somesh Das Gupta},
}
@article {MR81i:92028,
AUTHOR = {Shepard, Roger N.},
TITLE = {Multidimensional scaling, tree-fitting, and clustering},
JOURNAL = {Science},
FJOURNAL = {American Association for the Advancement of Science. Science},
VOLUME = {210},
YEAR = {1980},
NUMBER = {4468},
PAGES = {390--398},
ISSN = {0036-8075},
CODEN = {SCIEAS},
MRCLASS = {92A27 (62P15)},
MRNUMBER = {81i:92028},
}
@article {MR81i:62109,
AUTHOR = {Krane, William R.},
TITLE = {Least squares estimation of individual differences in
multidimensional scaling},
JOURNAL = {British J. Math. Statist. Psych.},
FJOURNAL = {The British Journal of Mathematical and Statistical
Psychology},
VOLUME = {31},
YEAR = {1978},
NUMBER = {2},
PAGES = {193--208},
ISSN = {0007-1102},
CODEN = {BJMSAK},
MRCLASS = {62H99},
MRNUMBER = {81i:62109},
MRREVIEWER = {C. Hayashi},
}
@book {MR81h:62003,
AUTHOR = {Mardia, Kantilal Varichand and Kent, John T. and Bibby, John
M.},
TITLE = {Multivariate analysis},
NOTE = {Probability and Mathematical Statistics: A Series of
Monographs and Textbooks},
PUBLISHER = {Academic Press [Harcourt Brace Jovanovich Publishers]},
ADDRESS = {London},
YEAR = {1979},
PAGES = {xv+521},
ISBN = {0-12-471250-9},
MRCLASS = {62-01 (62Hxx)},
MRNUMBER = {81h:62003},
MRREVIEWER = {A. W. Davis},
}
@article {MR81g:92026,
AUTHOR = {Cunningham, James P.},
TITLE = {Free trees and bidirectional trees as representations of
psychological distance},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {17},
YEAR = {1978},
NUMBER = {2},
PAGES = {165--188},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A27 (05C05 62P15)},
MRNUMBER = {81g:92026},
MRREVIEWER = {Harold Law},
}
@incollection {MR81c:62069,
AUTHOR = {de Leeuw, Jan and Heiser, Willem},
TITLE = {Multidimensional scaling with restrictions on the
configuration},
BOOKTITLE = {Multivariate analysis, V (Proc. Fifth Internat. Sympos., Univ.
Pittsburgh, Pittsburgh, Pa., 1978)},
PAGES = {501--522},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1980},
MRCLASS = {62H99 (62-07)},
MRNUMBER = {81c:62069},
MRREVIEWER = {C. Hayashi},
}
@article {MR81c:62068,
AUTHOR = {Kamenski{\u\i}, V. S.},
TITLE = {Methods and models of nonmetric multidimensional scaling
(survey)},
JOURNAL = {Avtomat. i Telemekh.},
FJOURNAL = {Akademiya Nauk SSSR. Avtomatika i Telemekhanika},
YEAR = {1977},
NUMBER = {8},
PAGES = {118--156},
ISSN = {0005-2310},
CODEN = {AVTEAI},
MRCLASS = {62H99 (68B15 90A06 92A25)},
MRNUMBER = {81c:62068},
}
@article {MR81a:62110,
AUTHOR = {Maital, Shlomo},
TITLE = {Multidimensional scaling. {S}ome econometric applications},
JOURNAL = {J. Econometrics},
FJOURNAL = {Journal of Econometrics},
VOLUME = {8},
YEAR = {1978},
NUMBER = {1},
PAGES = {33--46},
ISSN = {0304-4076},
CODEN = {JECMB6},
MRCLASS = {62P20},
MRNUMBER = {81a:62110},
}
@proceedings {MR81a:62004,
TITLE = {Multivariate analysis. {V}},
BOOKTITLE = {Proceedings of the Fifth International Symposium held at the
University of Pittsburgh, Pittsburgh, Pa., June 19--24, 1978},
EDITOR = {Krishnaiah, Paruchuri R.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1980},
PAGES = {x+677},
ISBN = {0-444-85321-9},
MRCLASS = {62-06 (60-06)},
MRNUMBER = {81a:62004},
}
@article {MR80m:62103,
AUTHOR = {Kamenski{\u\i}, V. S.},
TITLE = {A matrix approach to algorithms of nonmetric multidimensional
scaling},
JOURNAL = {Avtomat. i Telemekh.},
FJOURNAL = {Akademiya Nauk SSSR. Avtomatika i Telemekhanika},
YEAR = {1979},
NUMBER = {1},
PAGES = {122--131},
ISSN = {0005-2310},
CODEN = {AVTEAI},
MRCLASS = {62P15 (62-07)},
MRNUMBER = {80m:62103},
MRREVIEWER = {C. W. Chen},
}
@inproceedings {MR80j:05060,
AUTHOR = {Rosenfeld, M.},
TITLE = {Distance geometry and graphs},
BOOKTITLE = {Proceedings of the Ninth Southeastern Conference on
Combinatorics, Graph Theory, and Computing (Florida Atlantic
Univ., Boca Raton, Fla., 1978)},
PAGES = {639--648},
PUBLISHER = {Utilitas Math.},
ADDRESS = {Winnipeg, Man.},
YEAR = {1978},
MRCLASS = {05C10 (51K05)},
MRNUMBER = {80j:05060},
MRREVIEWER = {R. A. Melter},
}
@article {MR80f:62060,
AUTHOR = {Itakura, Hidekiyo and Yamauchi, Toshihiro},
TITLE = {Multidimensional scaling techniques---a survey for
multivariate analysis},
JOURNAL = {Systems and Control},
FJOURNAL = {Systems and Control (Shisutemu to Seigyo)},
VOLUME = {23},
YEAR = {1979},
NUMBER = {8},
PAGES = {433--443},
ISSN = {0374-4507},
CODEN = {SYCNA9},
MRCLASS = {62H25 (62P15)},
MRNUMBER = {80f:62060},
}
@article {MR80c:62075,
AUTHOR = {Mardia, K. V.},
TITLE = {Some properties of classical multi-dimensional scaling},
JOURNAL = {Comm. Statist. A---Theory Methods},
FJOURNAL = {Communications in Statistics. A. Theory and Methods},
VOLUME = {7},
YEAR = {1978},
NUMBER = {13},
PAGES = {1233--1241},
ISSN = {0361-0926},
CODEN = {CSTMDC},
MRCLASS = {62H25 (62-07 62P15)},
MRNUMBER = {80c:62075},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@article {MR80b:92048,
AUTHOR = {Holman, Eric W.},
TITLE = {Completely nonmetric multidimensional scaling},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {18},
YEAR = {1978},
NUMBER = {1},
PAGES = {39--51},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {92A25},
MRNUMBER = {80b:92048},
}
@article {MR80a:54053,
AUTHOR = {Lew, John S.},
TITLE = {Some counterexamples in multidimensional scaling},
JOURNAL = {J. Math. Psych.},
FJOURNAL = {Journal of Mathematical Psychology},
VOLUME = {17},
YEAR = {1978},
NUMBER = {3},
PAGES = {247--254},
ISSN = {0022-2496},
CODEN = {JMTPAJ},
MRCLASS = {54E40 (46N05 54E35)},
MRNUMBER = {80a:54053},
MRREVIEWER = {W. Kuperberg},
}
@proceedings {MR80a:05004,
TITLE = {Proceedings of the {N}inth {S}outheastern {C}onference on
{C}ombinatorics, {G}raph {T}heory, and {C}omputing},
EDITOR = {Hoffman, Frederick and McCarthy, D. and Mullin, Ronald C. and
Stanton, Ralph G.},
NOTE = {Held at Florida Atlantic University, Boca Raton, Fla., January
30--February 2, 1978},
PUBLISHER = {Utilitas Mathematica Publishing Inc.},
ADDRESS = {Winnipeg, Man.},
YEAR = {1978},
PAGES = {x+694 pp. (1 plate)},
ISBN = {0-919628-21-4},
MRCLASS = {05-06 (68E10 94C15)},
MRNUMBER = {80a:05004},
}
@article {MR58:26185,
AUTHOR = {Hubert, Lawrence and Busk, Patricia},
TITLE = {Normative location theory: placement in continuous space},
JOURNAL = {J. Mathematical Psychology},
VOLUME = {14},
YEAR = {1976},
NUMBER = {3},
PAGES = {187--210},
MRCLASS = {92A25 (90B99)},
MRNUMBER = {58 \#26185},
MRREVIEWER = {David N. Burghes},
}
@inproceedings {MR58:20632,
AUTHOR = {Leblebici, H{\"u}seyin},
TITLE = {Measurement of social structure in organizations: an
application in multidimensional scaling},
BOOKTITLE = {Proceedings of Applied Statistics Seminars (Middle East Tech.
Univ., Ankara, 1976/77)},
JOURNAL = {Stud. Develop.},
NUMBER = {Special Issue},
YEAR = {1977},
PAGES = {35--120 (1978)},
MRCLASS = {92A20},
MRNUMBER = {58 \#20632},
}
@book {MR58:13415,
TITLE = {The analysis of survey data. {V}ol. {I}},
EDITOR = {Payne, Clive},
NOTE = {Exploring data structures},
PUBLISHER = {John Wiley \& Sons, London-New York-Sydney},
YEAR = {1977},
PAGES = {xv+273},
ISBN = {0-471-01706-X},
MRCLASS = {62-01 (62D05 62H25 62P15 62P25)},
MRNUMBER = {58 \#13415},
MRREVIEWER = {Graham J. G. Upton},
}
@article {MR58:8120,
AUTHOR = {Rabinowitz, George},
TITLE = {A procedure for ordering object pairs consistent with the
multidimensional unfolding model},
JOURNAL = {Psychometrika},
VOLUME = {41},
YEAR = {1976},
NUMBER = {3},
PAGES = {349--373},
MRCLASS = {62P15},
MRNUMBER = {58 \#8120},
}
@inproceedings {MR58:5398,
AUTHOR = {Howorka, Edward},
TITLE = {A characterization of {P}tolemaic graphs; survey of results},
BOOKTITLE = {Proceedings of the Eighth Southeastern Conference on
Combinatorics, Graph Theory and Computing (Louisiana State
Univ., Baton Rouge, La., 1977)},
PAGES = {355--361. Congressus Numerantium, No. XIX},
PUBLISHER = {Utilitas Math.},
ADDRESS = {Winnipeg, Man.},
YEAR = {1977},
MRCLASS = {05C99},
MRNUMBER = {58 \#5398},
MRREVIEWER = {David C. Kay},
}
@book {MR58:4197,
TITLE = {Proceedings of {A}pplied {S}tatistics {S}eminars},
EDITOR = {Tuncer, Yal{\c{c}}in},
NOTE = {Held at the Middle East Technical University, Ankara, 1976/77,
Stud. Develop. Special Issue {\bf 1977} (1978)},
PUBLISHER = {Middle East Technical University},
ADDRESS = {Ankara},
YEAR = {1978},
PAGES = {i--vii and 1--308},
MRCLASS = {90-06 (62-06)},
MRNUMBER = {58 \#4197},
}
@article {MR58:2536,
AUTHOR = {Arthurs, A. M.},
TITLE = {Geometrical formulation of {H}amiltonian boundary value
problems},
JOURNAL = {J. Math. Anal. Appl.},
VOLUME = {60},
YEAR = {1977},
NUMBER = {2},
PAGES = {483--492},
MRCLASS = {49A99 (35J25)},
MRNUMBER = {58 \#2536},
MRREVIEWER = {K. Najzar},
}
@incollection {MR57:17961,
AUTHOR = {de Leeuw, Jan},
TITLE = {Applications of convex analysis to multidimensional scaling},
BOOKTITLE = {Recent developments in statistics (Proc. European Meeting
Statisticians, Grenoble, 1976)},
PAGES = {133--145},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1977},
MRCLASS = {62H99},
MRNUMBER = {57 \#17961},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@book {MR57:17958,
AUTHOR = {Steinhausen, Detlef and Langer, Klaus},
TITLE = {Clusteranalyse},
NOTE = {Einf\"uhrung in Methoden und Verfahren der automatischen
Klassifikation,
de Gruyter Lehrbuch},
PUBLISHER = {Walter de Gruyter, Berlin-New York},
YEAR = {1977},
PAGES = {206},
ISBN = {3-11-007054-5},
MRCLASS = {62H30 (62-01)},
MRNUMBER = {57 \#17958},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@article {MR57:15580,
AUTHOR = {Lindman, Harold and Caelli, Terry},
TITLE = {Constant curvature {R}iemannian scaling},
JOURNAL = {J. Mathematical Psychology},
VOLUME = {17},
YEAR = {1978},
NUMBER = {2},
PAGES = {89--109},
MRCLASS = {92A25},
MRNUMBER = {57 \#15580},
MRREVIEWER = {Burton H. Voorhees},
}
@article {MR57:10683,
AUTHOR = {Sharma, Ashok Kumar},
TITLE = {Geodetics},
JOURNAL = {An. Univ. Timi\c soara Ser. \c Sti. Mat.},
VOLUME = {12},
YEAR = {1974},
NUMBER = {2},
PAGES = {155--160 (1977)},
MRCLASS = {54E35 (52A50)},
MRNUMBER = {57 \#10683},
MRREVIEWER = {Grattan P. Murphy},
}
@incollection {MR56:16928,
AUTHOR = {Drouet d'Aubigny, G.},
TITLE = {Least squares analysis of ordinal data},
BOOKTITLE = {Recent developments in statistics (Proc. European Meeting
Statisticians, Grenoble, 1976)},
PAGES = {767--774},
PUBLISHER = {North-Holland},
ADDRESS = {Amsterdam},
YEAR = {1977},
MRCLASS = {62H99 (62P15)},
MRNUMBER = {56 \#16928},
MRREVIEWER = {C. Hayashi},
}
@book {MR56:6944,
TITLE = {Recent developments in statistics},
BOOKTITLE = {Proceedings of the European Meeting of Statisticians held in
Grenoble, 6--11 September, 1976},
EDITOR = {Brodeau, F. and Romier, G. and Van Cutsem, B.},
PUBLISHER = {North-Holland Publishing Co.},
ADDRESS = {Amsterdam},
YEAR = {1977},
PAGES = {x+808 pp. ISBN 0-7204-0751-6},
MRCLASS = {62-06 (60-06)},
MRNUMBER = {56 \#6944},
}
@article {MR56:4616,
AUTHOR = {CRIPPEN, G.M.},
TITLE = {A novel approach to calculation of conformation: distance
geometry},
JOURNAL = {J. Computational Phys.},
VOLUME = {24},
YEAR = {1977},
NUMBER = {1},
PAGES = {96--107},
MRCLASS = {82.65 (92A05)},
MRNUMBER = {56 \#4616},
MRREVIEWER = {John Cantwell},
}
@article {MR56:3040,
AUTHOR = {Kruskal, Joseph B.},
TITLE = {Three-way arrays: rank and uniqueness of trilinear
decompositions, with application to arithmetic complexity and
statistics},
JOURNAL = {Linear Algebra and Appl.},
VOLUME = {18},
YEAR = {1977},
NUMBER = {2},
PAGES = {95--138},
MRCLASS = {15A69 (68A20)},
MRNUMBER = {56 \#3040},
MRREVIEWER = {Marvin Marcus},
}
@book {MR56:2221,
TITLE = {Multiple criteria decision making},
EDITOR = {Cochrane, James L. and Zeleny, Milan},
NOTE = {Papers presented at a Seminar held at Capstone House of the
University of South Carolina, Columbia, S.C., Oct. 26--27,
1972},
PUBLISHER = {University of South Carolina Press},
ADDRESS = {Columbia, S. C.},
YEAR = {1973},
PAGES = {xiv+816},
MRCLASS = {90A05},
MRNUMBER = {56 \#2221},
}
@article {MR56:1643,
AUTHOR = {Hubert, Lawrence and Schultz, James},
TITLE = {Quadratic assignment as a general data analysis strategy},
JOURNAL = {British J. Math. Statist. Psychology},
VOLUME = {29},
YEAR = {1976},
NUMBER = {2},
PAGES = {190--241},
MRCLASS = {62P15 (62H30)},
MRNUMBER = {56 \#1643},
}
@incollection {MR56:1615,
AUTHOR = {Chakravarti, I. M.},
TITLE = {Statistical designs from {R}oom's squares with applications},
BOOKTITLE = {Contributions to applied statistics},
PAGES = {223--231. Experientia Supplementum, Vol. 22},
PUBLISHER = {Birkh\"auser},
ADDRESS = {Basel},
YEAR = {1976},
MRCLASS = {62K10},
MRNUMBER = {56 \#1615},
MRREVIEWER = {E. Seiden},
}
@book {MR56:1517,
editor = {J. Van Ryzin},
TITLE = {Classification and clustering},
BOOKTITLE = {Proceedings of an Advanced Seminar held at the University of
Wisconsin, Madison, Wis., May 3--5, 1976},
NOTE = {Mathematics Research Center Publication, No. 37},
PUBLISHER = {Academic Press Inc. [Harcourt Brace Jovanovich Publishers]},
ADDRESS = {New York},
YEAR = {1977},
PAGES = {x+467},
MRCLASS = {62-06 (92-06 68-06)},
MRNUMBER = {56 \#1517},
}
@book {MR55:13671,
AUTHOR = {Gnanadesikan, R.},
TITLE = {Methods for statistical data analysis of multivariate
observations},
NOTE = {A Wiley Publication in Applied Statistics},
PUBLISHER = {John Wiley \& Sons, New York-London-Sydney},
YEAR = {1977},
PAGES = {x+311},
MRCLASS = {62H30 (62H25 62H20)},
MRNUMBER = {55 \#13671},
MRREVIEWER = {P. A. K. Covey-Crump},
}
@incollection {MR55:9420,
AUTHOR = {Schader, Martin and Lauwerth, Werner},
TITLE = {Distanzindizes zur mehrdimensionalen {S}kalierung},
BOOKTITLE = {Operations Research Verfahren, Band XXII},
PAGES = {166--175},
PUBLISHER = {Hain},
ADDRESS = {Meisenheim am Glan},
YEAR = {1976},
MRCLASS = {62H99},
MRNUMBER = {55 \#9420},
MRREVIEWER = {Margaret P. Gessaman},
}
@book {MR55:6625,
TITLE = {Statistical methods for digital computers},
EDITOR = {Enslein, Kurt and Ralston, Anthony and Wilf, Herbert S.},
NOTE = {Mathematical Methods for Digital Computers, Vol. III},
PUBLISHER = {Wiley-Interscience [John Wiley \& Sons},
ADDRESS = {Inc.], New York},
YEAR = {1977},
PAGES = {viii+454},
MRCLASS = {62-04},
MRNUMBER = {55 \#6625},
MRREVIEWER = {James E. Gentle},
}
@book {MR54:11655,
AUTHOR = {Bennett, Spencer and Bowers, David},
TITLE = {An introduction to multivariate techniques for social and
behavioural sciences},
PUBLISHER = {Halsted Press [John Wiley \& Sons], New York},
YEAR = {1976},
PAGES = {xii+156},
MRCLASS = {62H25 (62P15)},
MRNUMBER = {54 \#11655},
MRREVIEWER = {C. Hayashi},
}
@book {MR54:8979,
AUTHOR = {Press, S. James},
TITLE = {Applied multivariate analysis},
NOTE = {Series in Quantitative Methods for Decision-Making,
International Series in Decision Processes},
PUBLISHER = {Holt},
ADDRESS = {Rinehart and Winston, Inc., New York},
YEAR = {1972},
PAGES = {xx+521},
MRCLASS = {62HXX},
MRNUMBER = {54 \#8979},
MRREVIEWER = {Somesh Das Gupta},
}
@article {MR54:1526,
AUTHOR = {Shepard, Roger N.},
TITLE = {Representation of structure in similarity data: problems and
prospects},
JOURNAL = {Psychometrika},
VOLUME = {39},
YEAR = {1974},
PAGES = {373--421},
MRCLASS = {62P15 (92A25)},
MRNUMBER = {54 \#1526},
MRREVIEWER = {Robin Sibson},
}
@incollection {MR53:6432,
AUTHOR = {BLUMENTHAL, L.M.},
TITLE = {Four-point properties and norm postulates},
BOOKTITLE = {The geometry of metric and linear spaces (Proc. Conf.,
Michigan State Univ., East Lansing, Mich., 1974)},
PAGES = {1--13. Lecture Notes in Math., Vol. 490},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1975},
MRCLASS = {52A50 (46B99)},
MRNUMBER = {53 \#6432},
MRREVIEWER = {B. B. Phadke},
}
@inproceedings {MR53:6419,
editor = {L.M. Kelly},
TITLE = {The geometry of metric and linear spaces},
BOOKTITLE = {The geometry of metric and linear spaces (Proc. Conf.,
Michigan State Univ., East Lansing, Mich., 1974)},
PAGES = {233--244. Lecture Notes in Math., Vol. 490},
NOTE = {Contributed by Kenneth B. Stolarsky, Andrew Sobczyk, R.
Freese, Victor Klee, Allen Freedman, David Kay, J. J. Seidel,
Tom Sallee, G. D. Chakerian, L. M. Kelly, R. B. Eggleton, A.
S. Fraenkel, Branko Gr\"unbaum, Ralph Alexander, James Chew,
M. Edelstein, J. B. Kruskal, Dorothy Wolfe and Leo Moser},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1975},
MRCLASS = {52-XX},
MRNUMBER = {53 \#6419},
MRREVIEWER = {C. M. Petty},
}
@article {MR53:5310,
AUTHOR = {Steiner, Hans-Georg},
TITLE = {Mathematisierungen, die auf metrische {R}\"aume f\"uhren},
JOURNAL = {Math.-Phys. Semesterber.},
VOLUME = {23},
YEAR = {1976},
NUMBER = {1},
PAGES = {17--58},
MRCLASS = {05-01 (52-01)},
MRNUMBER = {53 \#5310},
MRREVIEWER = {R. J. Bumcrot},
}
@article {MR52:15132,
AUTHOR = {Caristi, James},
TITLE = {Fixed point theorems for mappings satisfying inwardness
conditions},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {215},
YEAR = {1976},
PAGES = {241--251},
MRCLASS = {47H10},
MRNUMBER = {52 \#15132},
MRREVIEWER = {Simeon Reich},
}
@article {MR52:5094,
AUTHOR = {Pieszko, Henry},
TITLE = {Multidimensional scaling in {R}iemannian space},
JOURNAL = {J. Mathematical Psychology},
VOLUME = {12},
YEAR = {1975},
NUMBER = {4},
PAGES = {449--477},
MRCLASS = {92A25},
MRNUMBER = {52 \#5094},
MRREVIEWER = {C. P. Bruter},
}
@book {MR51:14407,
TITLE = {Multivariate statistical methods: among-groups covariation},
EDITOR = {Atchley, William R. and Bryant, Edwin H.},
NOTE = {Benchmark Papers in Systematic and Evolutionary Biology, Vol.
1},
PUBLISHER = {Dowden, Hutchinson\thinspace \&\thinspace Ross, Inc.,
Stroudsburg, Pa.},
YEAR = {1975},
PAGES = {xv+464},
MRCLASS = {62HXX},
MRNUMBER = {51 \#14407},
}
@article {MR50:8897,
AUTHOR = {Bloxom, Bruce},
TITLE = {An alternative method of fitting a model of individual
differences in multidimensional scaling},
JOURNAL = {Psychometrika},
VOLUME = {39},
YEAR = {1974},
PAGES = {365--367},
MRCLASS = {62P15},
MRNUMBER = {50 \#8897},
MRREVIEWER = {N. Giri},
}
@article {MR50:8465,
AUTHOR = {Domiaty, R. Z.},
TITLE = {Metrische {R}\"aume mit einer {E}lementarl\"ange},
JOURNAL = {Monatsh. Math.},
VOLUME = {76},
YEAR = {1972},
PAGES = {1--20},
MRCLASS = {54E99 (83.50)},
MRNUMBER = {50 \#8465},
MRREVIEWER = {H. Treder},
}
@book {MR50:6555,
TITLE = {Contemporary developments in mathematical psychology. {V}ol.
{I}{I}: {M}easurement, psychophysics, and neural information
processing},
BOOKTITLE = {Proceedings of a Symposium, University of Michigan, Ann Arbor,
Mich., 1972},
EDITOR = {Krantz, David H. and Atkinson, Richard C. and Luce, R. Duncan
and Suppes, Patrick},
PUBLISHER = {W. H. Freeman and Co.},
ADDRESS = {San Francisco, Calif.},
YEAR = {1974},
PAGES = {xv+468},
MRCLASS = {92A25},
MRNUMBER = {50 \#6555},
}
@article {MR50:3121,
AUTHOR = {Alexander, Ralph and Stolarsky, Kenneth B.},
TITLE = {Extremal problems of distance geometry related to energy
integrals},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {193},
YEAR = {1974},
PAGES = {1--31},
MRCLASS = {52A50},
MRNUMBER = {50 \#3121},
MRREVIEWER = {G. J. Butler},
}
@article {MR50:1133,
AUTHOR = {Valentine, J. E. and Andalafte, E. Z.},
TITLE = {Intrinsic four point properties which characterize hyperbolic
and {E}uclidean spaces},
JOURNAL = {Bull. Acad. Polon. Sci. S\'er. Sci. Math. Astronom. Phys.},
VOLUME = {21},
YEAR = {1973},
PAGES = {1103--1106},
MRCLASS = {52A50 (50C05)},
MRNUMBER = {50 \#1133},
MRREVIEWER = {F. Bachmann},
}
@article {MR49:10939,
AUTHOR = {Dunkl, Charles F. and Ramirez, Donald E.},
TITLE = {Krawtchouk polynomials and the symmetrization of hypergroups},
JOURNAL = {SIAM J. Math. Anal.},
VOLUME = {5},
YEAR = {1974},
PAGES = {351--366},
MRCLASS = {33A65 (43A85)},
MRNUMBER = {49 \#10939},
MRREVIEWER = {R. A. Askey},
}
@book {MR49:8147,
author = { },
TITLE = {Proceedings of the 39th {S}ession of the {I}nternational
{S}tatistical {I}nstitute, {V}ienna, {A}ugust 20--30, 1973},
NOTE = {Vol. 4: Invited papers,
Bull. Inst. Internat. Statist. {\bf 45} (1973), no. 4},
PUBLISHER = {\"Osterreichisches Statistisches Zentralamt, Vienna},
YEAR = {1973},
PAGES = {1--401},
MRCLASS = {62-06},
MRNUMBER = {49 \#8147},
}
@article {MR49:1628,
AUTHOR = {Sibson, Robin},
TITLE = {Order invariant methods for data analysis},
NOTE = {With discussion by D. G. Kendall, J. C. Gower, G. J. S. Ross,
J. E. Doran, P. A. K. Covey-Crump, G. C. Wall, D. R. Cox, M.
J. Prentice, R. M. Cormack and Carl-Axel Moberg, and a reply
by Robin Sibson},
JOURNAL = {J. Roy. Statist. Soc. Ser. B},
VOLUME = {34},
YEAR = {1972},
PAGES = {311--349},
MRCLASS = {62-02 (62H30)},
MRNUMBER = {49 \#1628},
MRREVIEWER = {A. D. McLaren},
}
@book {MR48:5276,
AUTHOR = {Anderberg, Michael R.},
TITLE = {Cluster analysis for applications},
NOTE = {Probability and Mathematical Statistics, No. 19},
PUBLISHER = {Academic Press [A subsidiary of Harcourt Brace Jovanovich,
Publishers], New York-London},
YEAR = {1973},
PAGES = {xiii+359},
MRCLASS = {62H30 (68A45)},
MRNUMBER = {48 \#5276},
MRREVIEWER = {J. B. Kruskal, Jr.},
}
@article {MR47:10092,
AUTHOR = {ARABIE, P. and BOORMAN, S.A.},
TITLE = {Multidimensional scaling of measures of distance between
partitions},
JOURNAL = {J. Mathematical Psychology},
VOLUME = {10},
YEAR = {1973},
PAGES = {148--203},
MRCLASS = {92A25},
MRNUMBER = {47 \#10092},
MRREVIEWER = {P. Suppes},
}
@article {MR47:9409,
AUTHOR = {Loveland, L. D. and Valentine, J. E.},
TITLE = {Congruent embedding of metric quadruples on a unit sphere},
JOURNAL = {J. Reine Angew. Math.},
VOLUME = {261},
YEAR = {1973},
PAGES = {205--209},
MRCLASS = {50C05},
MRNUMBER = {47 \#9409},
MRREVIEWER = {J. Bohm},
}
@article {MR47:2755,
AUTHOR = {Tucker, Ledyard R.},
TITLE = {Relations between multidimensional scaling and three-mode
factor analysis},
JOURNAL = {Psychometrika},
VOLUME = {37},
YEAR = {1972},
PAGES = {3--27},
MRCLASS = {62H25 (62P15 92A25)},
MRNUMBER = {47 \#2755},
MRREVIEWER = {C. Hayashi},
}
@article {MR46:10163,
AUTHOR = {Bechtel, Gordon G. and Tucker, Ledyard R. and Chang,
Wei-ching},
TITLE = {A scalar product model for the multidimensional scaling of
choice},
JOURNAL = {Psychometrika},
VOLUME = {36},
YEAR = {1971},
PAGES = {369--388},
MRCLASS = {62P15},
MRNUMBER = {46 \#10163},
MRREVIEWER = {M. Atiqullah},
}
@article {MR46:5053,
AUTHOR = {Erd{\H{o}}s, P. and Meir, A. and S{\'o}s, V. T. and Tur{\'a}n,
P.},
TITLE = {On some applications of graph theory. {I}},
JOURNAL = {Discrete Math.},
VOLUME = {2},
YEAR = {1972},
NUMBER = {3},
PAGES = {207--228},
MRCLASS = {94A20 (05C99)},
MRNUMBER = {46 \#5053},
MRREVIEWER = {F. Harary},
}
@article {MR45:2579,
AUTHOR = {Valentine, Joseph E.},
TITLE = {On criteria of {B}lumenthal for inner-product spaces},
JOURNAL = {Fund. Math.},
VOLUME = {72},
YEAR = {1971},
NUMBER = {3},
PAGES = {265--269},
MRCLASS = {52A50 (46C05 54E35)},
MRNUMBER = {45 \#2579},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR44:7438,
AUTHOR = {Valentine, Joseph E. and Wayment, Stanley G.},
TITLE = {Metric transforms and the hyperbolic four-point property},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {31},
YEAR = {1972},
PAGES = {232--234},
MRCLASS = {52.50},
MRNUMBER = {44 \#7438},
MRREVIEWER = {L. M. Kelly},
}
@article {MR43:1052,
AUTHOR = {Wayment, S. G.},
TITLE = {On congruence indices for simple closed curves},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {28},
YEAR = {1971},
PAGES = {199--207},
MRCLASS = {52.50},
MRNUMBER = {43 \#1052},
MRREVIEWER = {L. M. Blumenthal},
}
@book {MR42:3678,
AUTHOR = {BLUMENTHAL, L.M.},
TITLE = {Theory and applications of distance geometry},
EDITION = {Second},
PUBLISHER = {Chelsea Publishing Co.},
ADDRESS = {New York},
YEAR = {1970},
PAGES = {xi+347},
MRCLASS = {52.50},
MRNUMBER = {42 \#3678},
}
@incollection {MR40:8096,
AUTHOR = {Trillas Ruiz, E.},
TITLE = {On statistical metrics},
BOOKTITLE = {Proc. Eighth Annual Reunion of Spanish Mathematicians
(Santiago, 1967) (Spanish)},
PAGES = {143--155},
PUBLISHER = {Publ. Inst. ``Jorge Juan'' Mat., Madrid},
YEAR = {1969},
MRCLASS = {60.08},
MRNUMBER = {40 \#8096},
MRREVIEWER = {P. Holgate},
}
@article {MR40:7933,
AUTHOR = {Valentine, Joseph E.},
TITLE = {Hyperbolic spaces and quadratic forms},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {24},
YEAR = {1970},
PAGES = {607--610},
MRCLASS = {50.40},
MRNUMBER = {40 \#7933},
MRREVIEWER = {L. M. Blumenthal},
}
@article {sch35,
AUTHOR = {I.J. Schoenberg},
TITLE = {
Remarks to {M}aurice {F}r\'echet's article ``{S}ur la
d\'efinition axiomatique d'une classe d'espace distanci\'es
vectoriellement applicable sur l'espace de {H}ilbert''
},
JOURNAL = {Ann. Math.},
VOLUME = {36},
YEAR = {1935},
PAGES = {724--732},
}
@article {MR40:1895,
AUTHOR = {Schoenberg, I. J.},
TITLE = {Linkages and distance geometry. {I}{I}. {O}n sets of $n+2$
points in ${E}\sb{n}$ that are most nearly equilateral},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A 72 = Indag. Math.},
VOLUME = {31},
YEAR = {1969},
PAGES = {53--63},
MRCLASS = {52.50 (50.00)},
MRNUMBER = {40 \#1895},
MRREVIEWER = {R. J. Bumcrot},
}
@article {MR39:7512,
AUTHOR = {Schoenberg, I. J.},
TITLE = {Linkages and distance geometry},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A 72=Indag. Math.},
VOLUME = {31},
YEAR = {1969},
PAGES = {43--52},
MRCLASS = {52.50 (50.00)},
MRNUMBER = {39 \#7512},
MRREVIEWER = {R. J. Bumcrot},
}
@article {MR39:870,
AUTHOR = {Toranzos, Fausto Alfredo},
TITLE = {Immersion of convex metric spaces in ${E}\sp{n}$},
JOURNAL = {Math. Notae},
VOLUME = {21},
YEAR = {1966/1967},
PAGES = {29--53},
MRCLASS = {52.50},
MRNUMBER = {39 \#870},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR37:3452,
AUTHOR = {Freese, Raymond W.},
TITLE = {Criteria for inner product spaces},
JOURNAL = {Proc. Amer. Math. Soc.},
VOLUME = {19},
YEAR = {1968},
PAGES = {953--958},
MRCLASS = {52.50},
MRNUMBER = {37 \#3452},
MRREVIEWER = {R. H. Cox},
}
@article {MR36:2046,
AUTHOR = {Perron, Oskar},
TITLE = {Lehrreiches {B}eispiel f\"ur die guten {D}ienste, die die
hyperbolische {G}eometrie ihrer {E}uklidischen {S}chwester
leisten kann},
JOURNAL = {Math. Ann.},
VOLUME = {174},
YEAR = {1967},
PAGES = {100--102},
MRCLASS = {50.40},
MRNUMBER = {36 \#2046},
MRREVIEWER = {L. M. Kelly},
}
@article {MR35:881,
AUTHOR = {Kirk, W. A.},
TITLE = {Congruence orders of complete and compact metric spaces},
JOURNAL = {Simon Stevin},
VOLUME = {40},
YEAR = {1966/1967},
PAGES = {3--6},
MRCLASS = {52.50 (50.00)},
MRNUMBER = {35 \#881},
MRREVIEWER = {G. J. Schellekens},
}
@article {MR35:880,
AUTHOR = {Huff, B. W. and Kirk, W. A.},
TITLE = {A note on equilateral metric triples},
JOURNAL = {Amer. Math. Monthly},
VOLUME = {74},
YEAR = {1967},
PAGES = {288--290},
MRCLASS = {52.50},
MRNUMBER = {35 \#880},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR34:6645,
AUTHOR = {Einhorn, S. J. and Schoenberg, I. J.},
TITLE = {On euclidean sets having only two distances between points.
{I}{I}},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A 69=Indag. Math.},
VOLUME = {28},
YEAR = {1966},
PAGES = {489--504},
MRCLASS = {52.50},
MRNUMBER = {34 \#6645},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR34:685,
AUTHOR = {van Lint, J. H. and Seidel, J. J.},
TITLE = {Equilateral point sets in elliptic geometry},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A 69=Indag. Math.},
VOLUME = {28},
YEAR = {1966},
PAGES = {335--348},
MRCLASS = {52.50},
MRNUMBER = {34 \#685},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR33:6490,
AUTHOR = {Freese, Raymond W. and Andalafte, Edward Z.},
TITLE = {A characterization of 2-betweenness in 2-metric spaces},
JOURNAL = {Canad. J. Math.},
VOLUME = {18},
YEAR = {1966},
PAGES = {963--968},
MRCLASS = {52.50 (50.48)},
MRNUMBER = {33 \#6490},
MRREVIEWER = {R. H. Rosen},
}
@incollection {MR31:1632,
AUTHOR = {Blumenthal, Leonard M.},
TITLE = {A report on coordinate-free differential geometry},
BOOKTITLE = {Col\'oquio Internacional de Geometr\'\i a Diferencial
(Santiago, 1963)},
PAGES = {33--43},
PUBLISHER = {Univ. Santiago, Santiago},
YEAR = {1964},
MRCLASS = {53.95},
MRNUMBER = {31 \#1632},
MRREVIEWER = {A. Kawaguchi},
}
@article {MR30:3555,
AUTHOR = {Shepard, Roger N.},
TITLE = {The analysis of proximities: multidimensional scaling with an
unknown distance function. {I}{I}},
JOURNAL = {Psychometrika},
VOLUME = {27},
YEAR = {1962},
PAGES = {219--246},
MRCLASS = {92.50},
MRNUMBER = {30 \#3555},
MRREVIEWER = {Hanan Rubin},
}
@article {MR29:6958,
AUTHOR = {Kruskal, J. B.},
TITLE = {Nonmetric multidimensional scaling: {A} numerical method},
JOURNAL = {Psychometrika},
VOLUME = {29},
YEAR = {1964},
PAGES = {115--129},
MRCLASS = {92.50 (62.99)},
MRNUMBER = {29 \#6958},
MRREVIEWER = {R. J. Aumann},
}
@article {MR29:6957,
AUTHOR = {Kruskal, J. B.},
TITLE = {Multidimensional scaling by optimizing goodness of fit to a
nonmetric hypothesis},
JOURNAL = {Psychometrika},
VOLUME = {29},
YEAR = {1964},
PAGES = {1--27},
MRCLASS = {92.50 (62.99)},
MRNUMBER = {29 \#6957},
MRREVIEWER = {R. J. Aumann},
}
@article {MR27:6241,
AUTHOR = {Blumenthal, Leonard M. and Freese, Raymond W.},
TITLE = {Local convexity in metric spaces},
JOURNAL = {Math. Notae},
VOLUME = {18},
YEAR = {1962},
PAGES = {15--22 (1962)},
MRCLASS = {52.50},
MRNUMBER = {27 \#6241},
MRREVIEWER = {L. A. Santal{\'o}},
}
@article {MR27:4698,
AUTHOR = {Gulliksen, Harold},
TITLE = {Linear and multidimensional scaling},
JOURNAL = {Psychometrika},
VOLUME = {26},
YEAR = {1961},
PAGES = {9--25},
MRCLASS = {92.50},
MRNUMBER = {27 \#4698},
MRREVIEWER = {P. Suppes},
}
@article {MR25:4019,
AUTHOR = {Silverman, Robert},
TITLE = {A metrization for power-sets with applications to
combinatorial analysis},
JOURNAL = {Canad. J. Math.},
VOLUME = {12},
YEAR = {1960},
PAGES = {158--176},
MRCLASS = {20.95},
MRNUMBER = {25 \#4019},
MRREVIEWER = {A. Sade},
}
@article {MR25:3798,
AUTHOR = {Shepard, Roger N.},
TITLE = {The analysis of proximities: multidimensional scaling with an
unknown distance function. {I}},
JOURNAL = {Psychometrika},
VOLUME = {27},
YEAR = {1962},
PAGES = {125--140},
MRCLASS = {92.50},
MRNUMBER = {25 \#3798},
MRREVIEWER = {Hanan Rubin},
}
@article {MR24:A1013,
AUTHOR = {Ewald, G{\"u}nter and Kelly, Leroy M.},
TITLE = {Tangents in real {B}anach spaces},
JOURNAL = {J. Reine Angew. Math.},
VOLUME = {203},
YEAR = {1960},
PAGES = {160--173},
MRCLASS = {46.45 (52.50)},
MRNUMBER = {24 \#A1013},
MRREVIEWER = {L. M. Blumenthal},
}
@book {MR23:A3481,
AUTHOR = {Blumenthal, Leonard M.},
TITLE = {A modern view of geometry},
NOTE = {A Series of Undergraduate Books in Mathematics},
PUBLISHER = {W. H. Freeman and Co.},
ADDRESS = {San Francisco},
YEAR = {1961},
PAGES = {xii+191},
MRCLASS = {50.00},
MRNUMBER = {23 \#A3481},
MRREVIEWER = {D. J. Struik},
}
@book {MR23:A1290,
AUTHOR = {Rinow, Willi},
TITLE = {Die innere {G}eometrie der metrischen {R}\"aume},
NOTE = {Die Grundlehren der mathematischen Wissenschaften, Bd. 105},
PUBLISHER = {Springer-Verlag},
ADDRESS = {Berlin},
YEAR = {1961},
PAGES = {xv+520},
MRCLASS = {52.50},
MRNUMBER = {23 \#A1290},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR22:10779,
AUTHOR = {Meidav, Tsvi},
TITLE = {Nomograms to speed up seismic refraction computations},
JOURNAL = {Geophysics},
VOLUME = {25},
YEAR = {1960},
PAGES = {1035--1053},
MRCLASS = {86.00},
MRNUMBER = {22 \#10779},
}
@article {MR21:2210,
AUTHOR = {ABEL, W.R. and BLUMENTHAL, L.M.},
TITLE = {Distance geometry of metric arcs. {I}{I}},
JOURNAL = {Arch. Math.},
VOLUME = {8},
YEAR = {1957},
PAGES = {451--463},
MRCLASS = {52.00},
MRNUMBER = {21 \#2210},
MRREVIEWER = {L. A. Santal{\'o}},
}
@article {MR20:5462,
AUTHOR = {ABEL, W.R. and BLUMENTHAL, L.M.},
TITLE = {Distance geometry of metric arcs},
JOURNAL = {Amer. Math. Monthly},
VOLUME = {64},
YEAR = {1957},
NUMBER = {8, part II},
PAGES = {1--10},
MRCLASS = {52.00},
MRNUMBER = {20 \#5462},
MRREVIEWER = {L. A. Santal{\'o}},
}
@article {MR19:304g,
AUTHOR = {Nottrot, R.},
TITLE = {Note on a previous paper on torsion},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A. {\bf 60} = Indag. Math.},
VOLUME = {19},
YEAR = {1957},
PAGES = {159--161},
MRCLASS = {50.0X},
MRNUMBER = {19,304g},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR17:524i,
AUTHOR = {Haantjes, J. and Nottrot, R.},
TITLE = {Distance geometry. {D}irections in metric spaces. {T}orsion},
JOURNAL = {Nederl. Akad. Wetensch. Proc. Ser. A. {\bf 58} = Indag. Math.},
VOLUME = {17},
YEAR = {1955},
PAGES = {405--410},
MRCLASS = {52.0X},
MRNUMBER = {17,524i},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR16:1139d,
AUTHOR = {Blumenthal, Leonard M.},
TITLE = {An extension of a theorem of {J}ordan and von {N}eumann},
JOURNAL = {Pacific J. Math.},
VOLUME = {5},
YEAR = {1955},
PAGES = {161--167},
MRCLASS = {56.0X},
MRNUMBER = {16,1139d},
MRREVIEWER = {M. M. Day},
}
@article {MR16:165g,
AUTHOR = {Pli{\'s}, A.},
TITLE = {Haantjes and {A}lt curvatures in abstract metric spaces},
JOURNAL = {Ann. Polon. Math.},
VOLUME = {1},
YEAR = {1954},
PAGES = {29--33},
MRCLASS = {53.0X},
MRNUMBER = {16,165g},
MRREVIEWER = {L. M. Blumenthal},
}
@book {MR15:340d,
AUTHOR = {Menger, Karl},
TITLE = {G\'eom\'etrie g\'en\'erale},
NOTE = {M\'emor. Sci. Math., no. 124},
PUBLISHER = {Gauthier-Villars},
ADDRESS = {Paris},
YEAR = {1954},
PAGES = {80+i},
MRCLASS = {48.0X},
MRNUMBER = {15,340d},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR15:57b,
AUTHOR = {Levi, F. W.},
TITLE = {Eine {E}rg\"anzung zum {H}ellyschen {S}atze},
JOURNAL = {Arch. Math.},
VOLUME = {4},
YEAR = {1953},
PAGES = {222--224},
MRCLASS = {52.0X},
MRNUMBER = {15,57b},
MRREVIEWER = {L. M. Blumenthal},
}
@book {MR14:1009a,
AUTHOR = {Blumenthal, Leonard M.},
TITLE = {Theory and applications of distance geometry},
PUBLISHER = {Oxford, at the Clarendon Press},
YEAR = {1953},
PAGES = {xi+347},
MRCLASS = {48.0X},
MRNUMBER = {14,1009a},
MRREVIEWER = {L. A. Santal{\'o}},
}
@article {MR14:889k,
AUTHOR = {TORGERSON, W.S.},
TITLE = {Multidimensional scaling. {I}. {T}heory and method},
JOURNAL = {Psychometrika},
VOLUME = {17},
YEAR = {1952},
PAGES = {401--419},
MRCLASS = {62.0X},
MRNUMBER = {14,889k},
MRREVIEWER = {H. P. Mulholland},
}
@article {MR14:576i,
AUTHOR = {Ellis, David},
TITLE = {Notes on abstract distance geometry. {I}{I}{I}. {O}n
self-congruences of metroids},
JOURNAL = {Simon Stevin},
VOLUME = {29},
YEAR = {1951/52},
PAGES = {92--95 (1952)},
MRCLASS = {48.0X},
MRNUMBER = {14,576i},
MRREVIEWER = {Chr. Pauc},
}
@article {MR14:576h,
AUTHOR = {Laman, G.},
TITLE = {Distance geometry and {B}oolean algebras},
JOURNAL = {Simon Stevin},
VOLUME = {29},
YEAR = {1951/52},
PAGES = {83--91 (1952)},
MRCLASS = {48.0X},
MRNUMBER = {14,576h},
MRREVIEWER = {Chr. Pauc},
}
@article {MR14:197c,
AUTHOR = {Ellis, David},
TITLE = {Correction to ``{N}otes on abstract distance geometry,
{I}{I}.''},
JOURNAL = {Monatsh. Math.},
VOLUME = {56},
YEAR = {1952},
PAGES = {180},
MRCLASS = {48.0X},
MRNUMBER = {14,197c},
}
@article {MR14:75f,
AUTHOR = {Seidel, J.},
TITLE = {Distance-geometric development of two-dimensional {E}uclidean,
hyperbolical and spherical geometry. {I}},
JOURNAL = {Simon Stevin},
VOLUME = {29},
YEAR = {1952},
PAGES = {32--50},
MRCLASS = {48.0X},
MRNUMBER = {14,75f},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR13:970d,
AUTHOR = {Ellis, David},
TITLE = {Notes on abstract distance geometry. {I}. {T}he algebraic
description of ground spaces},
JOURNAL = {T\^ohoku Math. J. (2)},
VOLUME = {3},
YEAR = {1951},
PAGES = {270--272},
MRCLASS = {48.0X},
MRNUMBER = {13,970d},
MRREVIEWER = {C. Y. Pauc},
}
@article {MR13:377a,
AUTHOR = {Ellis, David},
TITLE = {Notes on abstract distance geometry. {I}{I}. {I}mplications of
basality in generalized semimetric spaces},
JOURNAL = {Monatsh. Math.},
VOLUME = {55},
YEAR = {1951},
PAGES = {185--187},
MRCLASS = {48.0X},
MRNUMBER = {13,377a},
MRREVIEWER = {C. Y. Pauc},
}
@article {MR13:270b,
AUTHOR = {Ellis, David},
TITLE = {Geometry in abstract distance spaces},
JOURNAL = {Publ. Math. Debrecen},
VOLUME = {2},
YEAR = {1951},
PAGES = {1--25},
MRCLASS = {48.0X},
MRNUMBER = {13,270b},
MRREVIEWER = {C. Y. Pauc},
}
@book {MR12:273e,
AUTHOR = {Forder, H. G.},
TITLE = {Geometry},
PUBLISHER = {Hutchinson's University Library, London},
YEAR = {1950},
PAGES = {200},
MRCLASS = {48.0X},
MRNUMBER = {12,273e},
MRREVIEWER = {H. S. M. Coxeter},
}
@article {MR10:138f,
AUTHOR = {Blumenthal, Leonard M.},
TITLE = {Methods and problems of distance geometry},
JOURNAL = {Memorias de Matem\'atica del Instituto ``Jorge Juan,''},
VOLUME = {1948},
YEAR = {1948},
NUMBER = {5},
PAGES = {45},
MRCLASS = {48.0X},
MRNUMBER = {10,138f},
MRREVIEWER = {C. Y. Pauc},
}
@article {MR9:53g,
AUTHOR = {Haantjes, J.},
TITLE = {Distance geometry. {C}urvature in abstract metric spaces},
JOURNAL = {Nederl. Akad. Wetensch., Proc.},
VOLUME = {50},
YEAR = {1947},
PAGES = {496--508=Indagationes Math. {\bf 9, 302--314 (1947)}},
MRCLASS = {48.0X},
MRNUMBER = {9,53g},
MRREVIEWER = {C. Pauc},
}
@article {MR8:82c,
AUTHOR = {Blumenthal, Leonard M.},
TITLE = {Metric characterization of elliptic space},
JOURNAL = {Trans. Amer. Math. Soc.},
VOLUME = {59},
YEAR = {1946},
PAGES = {381--400},
MRCLASS = {48.0X},
MRNUMBER = {8,82c},
MRREVIEWER = {C. Pauc},
}
@book {MR7:321g,
AUTHOR = {de Mira Fernandes, Aureliano},
TITLE = {Distance geometry, 3. {A}rc length},
NOTE = {Cadernos de An\'alise Geral, no. 18},
PUBLISHER = {Junta de Investiga\c c\~ao Matem\'atica, P\^orto},
YEAR = {1945},
PAGES = {18 pp. [paged 33--50]},
MRCLASS = {48.0X},
MRNUMBER = {7,321g},
MRREVIEWER = {L. M. Blumenthal},
}
@book {MR7:321f,
AUTHOR = {de Mira Fernandes, Aureliano},
TITLE = {Distance geometry, 2. {C}urvatures},
NOTE = {Cadernos de An\'alise Geral, no. 17},
PUBLISHER = {Junta de Investiga\c c\~ao Matem\'atica, P\^orto},
YEAR = {1945},
PAGES = {15 pp. [paged 17--31]},
MRCLASS = {48.0X},
MRNUMBER = {7,321f},
MRREVIEWER = {L. M. Blumenthal},
}
@book {MR7:24n,
AUTHOR = {de Mira Fernandes, Aureliano},
TITLE = {Distance geometry, 1. {G}eneralities---vector algebra},
NOTE = {Cadernos de An\'alise Geral, no. 13},
PUBLISHER = {Junta de Investiga\c c\~ao Matem\'atica, P\^orto},
YEAR = {1945},
PAGES = {16 },
MRCLASS = {48.0X},
MRNUMBER = {7,24n},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR6:183f,
AUTHOR = {Kelly, L. M.},
TITLE = {Covering problems},
JOURNAL = {Nat. Math. Mag.},
VOLUME = {19},
YEAR = {1944},
PAGES = {123--130},
MRCLASS = {48.0X},
MRNUMBER = {6,183f},
MRREVIEWER = {C. B. Allendoerfer},
}
@article {MR6:98a,
AUTHOR = {Menger, Karl},
TITLE = {Projective generalizations of metric geometry. {I}, {I}{I}},
JOURNAL = {Rep. Math. Colloquium (2)},
VOLUME = {5--6},
YEAR = {1944},
PAGES = {60--75},
MRCLASS = {48.0X},
MRNUMBER = {6,98a},
MRREVIEWER = {L. M. Blumenthal},
}
@article {MR5:214f,
AUTHOR = {Blumenthal, L. M.},
TITLE = {Distance geometry notes},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {50},
YEAR = {1944},
PAGES = {235--241},
MRCLASS = {48.0X},
MRNUMBER = {5,214f},
MRREVIEWER = {H. Busemann},
}
@article {MR4:251a,
AUTHOR = {Blumenthal, L. M.},
TITLE = {Some imbedding theorems and characterization problems of
distance geometry},
JOURNAL = {Bull. Amer. Math. Soc.},
VOLUME = {49},
YEAR = {1943},
PAGES = {321--338},
MRCLASS = {48.0X},
MRNUMBER = {4,251a},
MRREVIEWER = {G. B. Price},
}
@article {MR4:250g,
AUTHOR = {Blumenthal, L. M. and Gillam, B. E.},
TITLE = {Distribution of points in $n$-space},
JOURNAL = {Amer. Math. Monthly},
VOLUME = {50},
YEAR = {1943},
PAGES = {181--185},
MRCLASS = {48.0X},
MRNUMBER = {4,250g},
MRREVIEWER = {G. B. Price},
}
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MRNUMBER = {MR1249800 (94j:51022)},
MRREVIEWER = {Dominique Lambert},
}
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AUTHOR = {HAVEL, T.F.},
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MRNUMBER = {MR1122640 (92j:51033)},
MRREVIEWER = {G. E. Peterson},
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@book {MR975025,
AUTHOR = {Crippen, G.M. and Havel, T.F.},
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PUBLISHER = {Research Studies Press Ltd.},
ADDRESS = {Chichester},
YEAR = {1988},
PAGES = {x+541},
ISBN = {0-86380-073-4},
MRCLASS = {92A40 (51K05 81G55)},
MRNUMBER = {MR975025 (90a:92082)},
MRREVIEWER = {N. Trinajsti{\'c}},
}
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Algorithms, Informatics and Computational Sciences},
VOLUME = {19},
YEAR = {1988},
NUMBER = {1-3},
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MRCLASS = {92A40 (90B10)},
MRNUMBER = {MR936207 (89e:92063)},
MRREVIEWER = {G. W. Peck},
}
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MRCLASS = {92A90},
MRNUMBER = {MR783122 (86e:92045)},
}
@article {MR718540,
AUTHOR = {HAVEL, T.F. and KUNTZ, I.D. and CRIPPEN, G.M.},
TITLE = {The theory and practice of distance geometry},
JOURNAL = {Bull. Math. Biol.},
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VOLUME = {45},
YEAR = {1983},
NUMBER = {5},
PAGES = {665--720},
ISSN = {0092-8240},
CODEN = {BMBTAP},
MRCLASS = {92A90 (51K99 52A99)},
MRNUMBER = {MR718540 (84k:92037)},
MRREVIEWER = {J. E. Valentine},
}
%%%%%HAVEL papers end
@book {MR1747519,
AUTHOR = {Grassmann, H.},
TITLE = {Extension theory},
SERIES = {History of Mathematics},
VOLUME = {19},
NOTE = {Translated from the 1896 German original and with a
foreword,
editorial notes and supplementary notes by Lloyd C.
Kannenberg},
PUBLISHER = {American Mathematical Society},
ADDRESS = {Providence, RI},
YEAR = {2000},
PAGES = {xviii+411},
ISBN = {0-8218-2031-1},
MRCLASS = {01A75 (01A55)},
MRNUMBER = {MR1747519 (2001d:01048)},
MRREVIEWER = {I. Dolgachev},
}
@article {MR2416574,
AUTHOR = {Dattorro, J.},
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semidefinite cone},
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FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {428},
YEAR = {2008},
NUMBER = {11-12},
PAGES = {2597--2600},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A48 90C25)},
MRNUMBER = {MR2416574},
}
@book {dattorro:05,
AUTHOR = {Dattorro, J.},
TITLE = {Convex Optimization \& {E}uclidean Distance Geometry},
PUBLISHER = {Meboo Publishing},
ADDRESS = {USA},
YEAR = {2005},
urldate = {2015-Meboo Publishing},
PAGES = {697},
howpublished =
{\url{https://ccrma.stanford.edu/~dattorro/mybook.html}},
ISBN = {0-9764013-0-4},
}
@misc {dattorroonline:05,
AUTHOR = {Dattorro, J.},
TITLE = {Convex Optimization \& {E}uclidean Distance Geometry},
PUBLISHER = {Meboo Publishing},
ADDRESS = {USA},
YEAR = {2005},
urldate = {2015-Meboo Publishing},
PAGES = {697},
howpublished =
{\url{https://ccrma.stanford.edu/~dattorro/mybook.html}, Meboo
Publishing},
ISBN = {0-9764013-0-4},
}
%%%%%%%%%%%%%%%%%%%%%
@article {MR2132499,
AUTHOR = {Brualdi, R.A.},
TITLE = {From the editor-in-chief. {E}rrata to: ``{O}n the uniqueness
of {E}uclidean distance matrix completions'' [{L}inear
{A}lgebra {A}ppl. {\bf 370} (2003), 1--14; MR1993516] by {A}.
{Y}. {A}lfakih},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {400},
YEAR = {2005},
PAGES = {354},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A45 52A05 52B35)},
MRNUMBER = {MR2132499 (2005k:51020)},
}
@article {MR2116463,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On the uniqueness of {E}uclidean distance matrix completions:
the case of points in general position},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {397},
YEAR = {2005},
PAGES = {265--277},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A99 52B35 90C22)},
MRNUMBER = {MR2116463 (2005i:51011)},
}
@article {MR1993516,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On the uniqueness of {E}uclidean distance matrix completions},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {370},
YEAR = {2003},
PAGES = {1--14},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A45 52A05 52B35)},
MRNUMBER = {MR1993516 (2004f:51034)},
}
@article {MR1969424,
AUTHOR = {Huang, H-X. and Liang, Z-A. and Pardalos, P.M.},
TITLE = {Some properties for the {E}uclidean distance matrix and
positive semidefinite matrix completion problems},
NOTE = {Dedicated to Professor J. B. Rosen on his 80th birthday},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of Seeking
Global Optima and Their Applications in Science, Management
and Engineering},
VOLUME = {25},
YEAR = {2003},
NUMBER = {1},
PAGES = {3--21},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {90C22 (90C60)},
MRNUMBER = {MR1969424 (2004b:90081)},
MRREVIEWER = {Franz Rendl},
}
@article {MR1801668,
AUTHOR = {Laurent, M.},
TITLE = {Polynomial instances of the positive semidefinite and
{E}uclidean distance matrix completion problems},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {22},
YEAR = {2000},
NUMBER = {3},
PAGES = {874--894 (electronic)},
ISSN = {0895-4798},
MRCLASS = {15A48 (05C50 90C35)},
MRNUMBER = {MR1801668 (2001i:15025)},
MRREVIEWER = {Shu An Hu},
}
@article {MR1791595,
AUTHOR = {TROSSET, M.W.},
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JOURNAL = {Comput. Optim. Appl.},
FJOURNAL = {Computational Optimization and Applications. An International
Journal},
VOLUME = {17},
YEAR = {2000},
NUMBER = {1},
PAGES = {11--22},
ISSN = {0926-6003},
CODEN = {CPPPEF},
MRCLASS = {65K10 (90C20)},
MRNUMBER = {MR1791595 (2001k:65105)},
}
@article {MR1644479,
AUTHOR = {BARRETT, W.W. and Johnson, C.R. and LOEWY, R.},
TITLE = {Critical graphs for the positive definite completion problem},
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FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {20},
YEAR = {1999},
NUMBER = {1},
PAGES = {117--130 (electronic)},
ISSN = {0895-4798},
MRCLASS = {15A48 (05C50)},
MRNUMBER = {MR1644479 (99i:15029)},
MRREVIEWER = {Shu An Hu},
}
@incollection {MR1607310,
AUTHOR = {Laurent, M.},
TITLE = {A tour d'horizon on positive semidefinite and {E}uclidean
distance matrix completion problems},
BOOKTITLE = {Topics in semidefinite and interior-point methods ({T}oronto,
{ON}, 1996)},
SERIES = {Fields Inst. Commun.},
VOLUME = {18},
PAGES = {51--76},
PUBLISHER = {Amer. Math. Soc.},
ADDRESS = {Providence, RI},
YEAR = {1998},
MRCLASS = {05C50 (15A48 15A57 52B12 90C27)},
MRNUMBER = {MR1607310 (99c:05135)},
MRREVIEWER = {Hugo Jan Woerdeman},
}
@article {MR1491595,
AUTHOR = {Laurent, M.},
TITLE = {A connection between positive semidefinite and {E}uclidean
distance matrix completion problems},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {273},
YEAR = {1998},
PAGES = {9--22},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A48},
MRNUMBER = {MR1491595 (98m:15039)},
MRREVIEWER = {Shu An Hu},
}
@article {MR1374483,
AUTHOR = {Johnson, C.R. and JONES, C.A. and KROSCHEL,
B.K.},
TITLE = {The {E}uclidean distance completion problem: cycle
completability},
JOURNAL = {Linear and Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {39},
YEAR = {1995},
NUMBER = {1-2},
PAGES = {195--207},
ISSN = {0308-1087},
CODEN = {LNMLAZ},
MRCLASS = {05C50 (05B20 05C38)},
MRNUMBER = {MR1374483 (96m:05137)},
MRREVIEWER = {Ke Min Zhang},
}
@article {MR1321802,
AUTHOR = {Bakonyi, M. and Johnson, C.R.},
TITLE = {The {E}uclidean distance matrix completion problem},
JOURNAL = {SIAM J. Matrix Anal. Appl.},
FJOURNAL = {SIAM Journal on Matrix Analysis and Applications},
VOLUME = {16},
YEAR = {1995},
NUMBER = {2},
PAGES = {646--654},
ISSN = {0895-4798},
CODEN = {SJMAEL},
MRCLASS = {15A57 (05C50)},
MRNUMBER = {MR1321802 (96a:15025)},
MRREVIEWER = {K. Chandrasekhara Rao},
}
-------------------------------------------start Alfakih papers dec/08
@article {MR2382104,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On the dual rigidity matrix},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {428},
YEAR = {2008},
NUMBER = {4},
PAGES = {962--972},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {52C25 (05C50 15A57)},
MRNUMBER = {MR2382104 (2008m:52046)},
}
@article {MR2363550,
AUTHOR = {Alfakih, A.Y. and Wolkowicz, H.},
TITLE = {Some necessary and some sufficient trace inequalities for
{E}uclidean distance matrices},
JOURNAL = {Linear Multilinear Algebra},
FJOURNAL = {Linear and Multilinear Algebra},
VOLUME = {55},
YEAR = {2007},
NUMBER = {5},
PAGES = {499--506},
ISSN = {0308-1087},
MRCLASS = {15A45 (15A57)},
MRNUMBER = {MR2363550 (2009a:15069)},
MRREVIEWER = {K. Veseli{\'c}},
}
@article {MR2332317,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On dimensional rigidity of bar-and-joint frameworks},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {155},
YEAR = {2007},
NUMBER = {10},
PAGES = {1244--1253},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {52C25 (05C50 74C20 90C22)},
MRNUMBER = {MR2332317 (2008b:52033)},
}
@article {MR2242734,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On the nullspace, the rangespace and the characteristic
polynomial of {E}uclidean distance matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {416},
YEAR = {2006},
NUMBER = {2-3},
PAGES = {348--354},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {15A57 (51K05 52B35)},
MRNUMBER = {MR2242734 (2007f:15018)},
MRREVIEWER = {Hans Havlicek},
}
@article {MR1869424,
AUTHOR = {Alfakih, A.Y. and Wolkowicz, H.},
TITLE = {Two theorems on {E}uclidean distance matrices and {G}ale
transform},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {340},
YEAR = {2002},
PAGES = {149--154},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {51K05 (15A48 52B35)},
MRNUMBER = {MR1869424 (2002i:51010)},
}
@article {MR1810094,
AUTHOR = {Alfakih, A.Y.},
TITLE = {On rigidity and realizability of weighted graphs},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {325},
YEAR = {2001},
NUMBER = {1-3},
PAGES = {57--70},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (15A57 52A20)},
MRNUMBER = {MR1810094 (2002a:05170)},
MRREVIEWER = {Tiong Seng Tay},
}
@incollection {MR1778240,
AUTHOR = {Alfakih, A.Y. and Wolkowicz, H.},
TITLE = {Matrix completion problems},
BOOKTITLE = {Handbook of semidefinite programming},
SERIES = {Internat. Ser. Oper. Res. Management Sci.},
VOLUME = {27},
PAGES = {533--545},
PUBLISHER = {Kluwer Acad. Publ.},
ADDRESS = {Boston, MA},
YEAR = {2000},
MRCLASS = {90C22 (65F30)},
MRNUMBER = {MR1778240},
}
@article {MR1753174,
AUTHOR = {Alfakih, A.Y.},
TITLE = {Graph rigidity via {E}uclidean distance matrices},
JOURNAL = {Linear Algebra Appl.},
FJOURNAL = {Linear Algebra and its Applications},
VOLUME = {310},
YEAR = {2000},
NUMBER = {1-3},
PAGES = {149--165},
ISSN = {0024-3795},
CODEN = {LAAPAW},
MRCLASS = {05C50 (52C25 94C15)},
MRNUMBER = {MR1753174 (2001b:05137)},
MRREVIEWER = {J. E. Graver},
}
@article {MR1650463,
AUTHOR = {Alfakih, A.Y. and MURTY, K.G.},
TITLE = {Adjacency on the constrained assignment problem},
JOURNAL = {Discrete Appl. Math.},
FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
Algorithms, Informatics and Computational Sciences},
VOLUME = {87},
YEAR = {1998},
NUMBER = {1-3},
PAGES = {269--274},
ISSN = {0166-218X},
CODEN = {DAMADU},
MRCLASS = {90C27 (90C10)},
MRNUMBER = {MR1650463 (99g:90092)},
}
%%-------------------------------------------end Alfakih papers dec/08
@ARTICLE{AEGMWYAB:06,
author = {J. Aspnes and T. Eren and
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@techreport{FrascaMasonPiccoli:09,
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institution = {Universita di Salermo},
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@article {MR2457932,
AUTHOR = {Dos Santos Carvalho, R. and Lavor, C. and
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MRCLASS = {92C40 (92D20)},
MRNUMBER = {MR2457932},
}
@article{surv,
Author = {Liberti, L. and Lavor, C. and Maculan, N. and
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Date-Added = {2014-08-09 13:03:01 -0400},
Date-Modified = {2014-08-09 13:03:08 -0400},
Doi = {10.1137/120875909},
Eprint = {http://dx.doi.org/10.1137/120875909},
Journal = {SIAM Review},
Number = {1},
Pages = {3-69},
Title = {Euclidean Distance Geometry and Applications},
Url = {http://dx.doi.org/10.1137/120875909},
Volume = {56},
Year = {2014},
Bdsk-Url-1 = {http://dx.doi.org/10.1137/120875909}}
@ARTICLE{2016arXiv161000652L,
author = {{Liberti}, L. and {Lavor}, C.},
title = "{Open research areas in distance geometry}",
journal = {ArXiv e-prints},
archivePrefix = "arXiv",
eprint = {1610.00652},
primaryClass = "math.MG",
keywords = {Mathematics - Metric Geometry, Computer Science -
Computational Geometry, Mathematics - Optimization and Control, 51K99,
I.3.5},
year = 2016,
month = oct,
adsurl = {http://adsabs.harvard.edu/abs/2016arXiv161000652L},
adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}
@incollection {MR2206961,
AUTHOR = {Lavor, C.},
TITLE = {On generating instances for the molecular distance
geometry problem},
BOOKTITLE = {Global optimization},
SERIES = {Nonconvex Optim. Appl.},
VOLUME = {84},
PAGES = {405--414},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {2006},
MRCLASS = {92C40 (65D18 90C90)},
MRNUMBER = {MR2206961 (2006i:92018)},
}
@article {MR1977953,
AUTHOR = {Dong, Q. and Wu, Z.},
TITLE = {A geometric build-up algorithm for solving the molecular
distance geometry problem with sparse distance data},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {26},
YEAR = {2003},
NUMBER = {3},
PAGES = {321--333},
ISSN = {0925-5001},
CODEN = {JGOPEO},
MRCLASS = {92E10},
MRNUMBER = {MR1977953 (2004b:92046)},
}
@article {MR2302995,
AUTHOR = {WU, D. and WU, Z.},
TITLE = {An updated geometric build-up algorithm for solving the
molecular distance geometry problems with sparse distance
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JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
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VOLUME = {37},
YEAR = {2007},
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PAGES = {661--673},
ISSN = {0925-5001},
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MRCLASS = {92C40 (90C90 92D10)},
MRNUMBER = {MR2302995},
}
@article {MR1878150,
AUTHOR = {Dong, Q. and Wu, Z.},
TITLE = {A linear-time algorithm for solving the molecular distance
geometry problem with exact inter-atomic distances},
NOTE = {Dedicated to Professor Reiner Horst on his 60th birthday},
JOURNAL = {J. Global Optim.},
FJOURNAL = {Journal of Global Optimization. An International Journal
Dealing with Theoretical and Computational Aspects of
Seeking
Global Optima and Their Applications in Science,
Management
and Engineering},
VOLUME = {22},
YEAR = {2002},
NUMBER = {1-4},
PAGES = {365--375},
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CODEN = {JGOPEO},
MRCLASS = {90C90 (92E10)},
MRNUMBER = {MR1878150},
}
@article {MR1879612,
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ISSN = {0916-7005},
MRCLASS = {92C40 (90C90)},
MRNUMBER = {MR1879612 (2002k:92012)},
}
@incollection {MR1763275,
AUTHOR = {Tuy, Hoang},
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YEAR = {2000},
MRCLASS = {90C26 (65D18 90B85)},
MRNUMBER = {MR1763275 (2001h:90060)},
MRREVIEWER = {James G. Morris},
}
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BOOKTITLE = {Optimization ({N}amur, 1998)},
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YEAR = {2000},
MRCLASS = {90C59 (65Y10)},
MRNUMBER = {MR1758031 (2001d:90139)},
MRREVIEWER = {N. Trinajsti{\'c}},
}
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###################################end Miguel refs for survey paper/09
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@Comment{jabref-meta: databaseType:bibtex;}