Matlab codes; preliminary version! Dec21/22 for paper: "Regularized Nonsmooth Newton Algorithms for Best Approximation with Applications" by: Yair Censor; Walaa M. Moursi; Tyler Weames; Henry Wolkowicz. https://www.math.uwaterloo.ca/%7Ehwolkowi/henry/reports/CeMoWoSemismApplV1.pdf for projection onto polyhedral set and applications e.g. applic. to stepping stone external path following LP solver -------------------------------------------------- We are solving random problems that are generated using a 'seed' in the generateTableFiles and generatePlotFiles folders, so that the tests can be reproduced exactly. AuxiliaryFiles: This folder has a few files that are capable of generating problems as well as a few miscellaneous run files. This folder is useful to modify the files and solve your own problem. generatePlotFiles: This folder has the files necessary for generating the plots from the paper generateTableFiles: This folder has the files necessary for generating the tables from the paper Solvers: This folder has all of the appropriate solvers that are used in the paper.