# This file contains papers related to the Lowner partial order ### 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/lowner.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 ################################### @article {MR98f:47022, AUTHOR = {Furuta, Takayuki}, TITLE = {Equivalence relations among {R}eid, {L}\"owner-{H}einz and {H}einz-{K}ato inequalities, and extensions of these inequalities}, JOURNAL = {Integral Equations Operator Theory}, FJOURNAL = {Integral Equations and Operator Theory}, VOLUME = {29}, YEAR = {1997}, NUMBER = {1}, PAGES = {1--9}, ISSN = {0378-620X}, } @article {MR98d:62101, AUTHOR = {Tsai, Ming-Tien}, TITLE = {Estimation of covariance matrices under {L}\"owner order restrictions}, JOURNAL = {Sankhy\=a Ser. A}, FJOURNAL = {Sankhy\=a. The Indian Journal of Statistics. Series A}, VOLUME = {57}, YEAR = {1995}, NUMBER = {3}, PAGES = {433--439}, ISSN = {0581-572X}, } @article {MR98c:15071, AUTHOR = {Gro{\ss}, J{\"u}rgen}, TITLE = {Some remarks on the {L}\"owner partial ordering of {H}ermitian matrices}, JOURNAL = {Discuss. Math. Algebra Stochastic Methods}, FJOURNAL = {Discussiones Mathematicae. Algebra and Stochastic Methods}, VOLUME = {16}, YEAR = {1996}, NUMBER = {2}, PAGES = {191--195}, ISSN = {1234-3080}, } @article {MR98c:15015, AUTHOR = {Liski, Erkki P.}, TITLE = {On {L}\"owner-ordering antitonicity of matrix inversion}, JOURNAL = {Acta Math. Appl. Sinica (English Ser.)}, FJOURNAL = {Acta Mathematicae Applicatae Sinica. English Series. Yingyong Shuxue Xuebao}, VOLUME = {12}, YEAR = {1996}, NUMBER = {4}, PAGES = {435--442}, ISSN = {0168-9673}, CODEN = {AASSEE}, } @article {MR98b:15018, AUTHOR = {Zhuang, Wa Jin}, TITLE = {Some results on {L}\"owner's partial ordering of matrices over the division ring of real quaternions}, JOURNAL = {Zhangzhou Shiyuan Xuebao (Ziran Kexue Ban)}, FJOURNAL = {Zhangzhou Shiyuan Xuebao (Ziran Kexue Ban). Journal of Zhangzhou Teachers College (Natural Science Edition)}, VOLUME = {10}, YEAR = {1996}, NUMBER = {4}, PAGES = {1--6}, ISSN = {1004-468X}, } @article {MR97f:15009, AUTHOR = {Zhuang, Wa Jin}, TITLE = {L\"owner's partial ordering of generalized inverses ${A}\{i,\cdots,j;*\}$ of selfadjoint quaternion matrices}, JOURNAL = {J. Math. Study}, FJOURNAL = {Journal of Mathematical Study. Shuxue Yanjiu}, VOLUME = {28}, YEAR = {1995}, NUMBER = {1}, PAGES = {61--68}, ISSN = {1006-6837}, } @article {MR97d:15010, AUTHOR = {Van Barel, M. and Vav{\v{r}}{\'\i}n, Z.}, TITLE = {Inversion of a block {L}\"owner matrix}, JOURNAL = {J. Comput. Appl. Math.}, FJOURNAL = {Journal of Computational and Applied Mathematics}, VOLUME = {69}, YEAR = {1996}, NUMBER = {2}, PAGES = {261--284}, ISSN = {0377-0427}, CODEN = {JCAMDI}, } @book {MR94g:62143, AUTHOR = {Nordstr{\"o}m, Kenneth}, TITLE = {Contributions to the comparison of linear models and to the {L}\"owner-ordering antitonicity of generalized inverses}, NOTE = {Dissertation, University of Helsinki, Helsinki, 1990}, SERIES = {Tilastotieteellisi\"a Tutkimuksia [Statistical Studies]}, VOLUME = {12}, PUBLISHER = {Finnish Statistical Society}, ADDRESS = {Helsinki}, YEAR = {1990}, PAGES = {x+89}, ISBN = {951-95421-6-7}, } @article {MR93f:30020, AUTHOR = {Wrzesie{\'n}, Andrzej}, TITLE = {L\"owner equation in the class ${S}\sp {M}(\beta)$}, JOURNAL = {Zeszyty Nauk. Politech. Rzeszowskiej Mat. Fiz.}, FJOURNAL = {Zeszyty Naukowe Politechniki Rzeszowskiej. Matematyka i Fizyka}, NUMBER = {12}, YEAR = {1991}, PAGES = {75--81}, ISSN = {0209-2670}, } @article {MR93a:30018, AUTHOR = {Betker, Th.}, TITLE = {Univalence criteria and {L}\"owner chains}, JOURNAL = {Bull. London Math. Soc.}, FJOURNAL = {The Bulletin of the London Mathematical Society}, VOLUME = {23}, YEAR = {1991}, NUMBER = {6}, PAGES = {563--567}, ISSN = {0024-6093}, CODEN = {LMSBBT}, } @article {MR92g:30022, AUTHOR = {Betker, Th.}, TITLE = {L\"owner chains and {H}ardy spaces}, JOURNAL = {Bull. London Math. Soc.}, FJOURNAL = {The Bulletin of the London Mathematical Society}, VOLUME = {23}, YEAR = {1991}, NUMBER = {4}, PAGES = {367--371}, ISSN = {0024-6093}, CODEN = {LMSBBT}, } @article {MR92f:62073, AUTHOR = {Calvin, James A. and Dykstra, Richard L.}, TITLE = {Maximum likelihood estimation of a set of covariance matrices under {L}\"owner order restrictions with applications to balanced multivariate variance components models}, JOURNAL = {Ann. Statist.}, FJOURNAL = {The Annals of Statistics}, VOLUME = {19}, YEAR = {1991}, NUMBER = {2}, PAGES = {850--869}, ISSN = {0090-5364}, CODEN = {ASTSC7}, } @article {MR92e:15036, AUTHOR = {Baksalary, Jerzy K. and Pukelsheim, Friedrich}, TITLE = {On the {L}\"owner, minus, and star partial orderings of nonnegative definite matrices and their squares}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {151}, YEAR = {1991}, PAGES = {135--141}, ISSN = {0024-3795}, CODEN = {LAAPAW}, } @article {MR91h:65019, AUTHOR = {Fiedler, Miroslav}, TITLE = {L\"ownersche {M}atrizen und rationale {I}nterpolation}, NOTE = {Numerische Mathematik und ihre Anwendungen (Halle, 1982)}, JOURNAL = {Nova Acta Leopoldina (N.F.)}, FJOURNAL = {Nova Acta Leopoldina. Abhandlungen der Deutschen Akademie der Naturforscher Leopoldina. Neue Folge}, VOLUME = {61}, YEAR = {1989}, NUMBER = {267}, PAGES = {185--190}, ISSN = {0369-5034}, CODEN = {NOALA4}, } @article {MR91f:15014, AUTHOR = {Baksalary, Jerzy K. and Nordstr{\"o}m, Kenneth and Styan, George P. H.}, TITLE = {L\"owner-ordering antitonicity of generalized inverses of {H}ermitian matrices}, JOURNAL = {Linear Algebra Appl.}, FJOURNAL = {Linear Algebra and its Applications}, VOLUME = {127}, YEAR = {1990}, PAGES = {171--182}, ISSN = {0024-3795}, CODEN = {LAAPAW}, } @article {MR91c:15002, AUTHOR = {Nordstr{\"o}m, Kenneth}, TITLE = {Some further aspects of the {L}\"owner-ordering antitonicity of the {M}oore-{P}enrose inverse}, JOURNAL = {Comm. Statist. Theory Methods}, FJOURNAL = {Communications in Statistics. Theory and Methods}, VOLUME = {18}, YEAR = {1989}, NUMBER = {12}, PAGES = {4471--4489 (1990)}, ISSN = {0361-0926}, CODEN = {CSTMDC}, } @incollection {MR83h:15019, AUTHOR = {Gaffke, N. and Krafft, O.}, TITLE = {Matrix inequalities in the {L}\"owner ordering}, BOOKTITLE = {Modern applied mathematics (Bonn, 1979)}, PAGES = {595--622}, PUBLISHER = {North-Holland}, ADDRESS = {Amsterdam}, YEAR = {1982}, } @article {MR83g:47020, AUTHOR = {Hansen, Frank and Pedersen, Gert Kjaerg{\.a}rd}, TITLE = {Jensen's inequality for operators and {L}\"owner's theorem}, JOURNAL = {Math. Ann.}, FJOURNAL = {Mathematische Annalen}, VOLUME = {258}, YEAR = {1981/82}, NUMBER = {3}, PAGES = {229--241}, ISSN = {0025-5831}, CODEN = {MAANA3}, } @article {MR82e:47021, AUTHOR = {Sparr, Gunnar}, TITLE = {A new proof of {L}\"owner's theorem on monotone matrix functions}, JOURNAL = {Math. Scand.}, FJOURNAL = {Mathematica Scandinavica}, VOLUME = {47}, YEAR = {1980}, NUMBER = {2}, PAGES = {266--274}, ISSN = {0025-5521}, CODEN = {MTSCAN}, }