Note on a Fundamental Theorem in Quadratic Programming

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Previous article Next article Note on a Fundamental Theorem in Quadratic ProgrammingRichard W. CottleRichard W. Cottlehttps://doi.org/10.1137/0112056PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Richard W. Cottle, Symmetric dual quadratic programs, Quart. Appl. Math., 21 (1963/1964), 237–243 MR0156707 0127.36802 CrossrefGoogle Scholar[2] G. B. Dantzig and , R. W. Cottle, Positive (semi-) definite matrices and mathematical programming, ORC 63-18 (RR), Operations Research Center, University of California, Berkeley, 1963, May Google Scholar[3] W. S. Dorn, Duality in quadratic programming, Quart. Appl. Math., 18 (1960/1961), 155–162 MR0112751 0101.37003 CrossrefGoogle Scholar[4] W. S. Dorn, Self-dual quadratic programs, J. Soc. Indust. Appl. Math., 9 (1961), 51–54 10.1137/0109006 MR0120038 0104.14403 LinkISIGoogle Scholar[5] Marguerite Frank and , Philip Wolfe, An algorithm for quadratic programming, Naval Res. Logist. Quart., 3 (1956), 95–110 MR0089102 CrossrefGoogle Scholar[6] David Gale, The theory of linear economic models, McGraw-Hill Book Co., Inc., New York, 1960xxi+330 MR0115801 Google Scholar[7] H. W. Kuhn and , A. W. Tucker, J. Neyman, Nonlinear programming, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, 1950, University of California Press, Berkeley and Los Angeles, 1951, 481–492 MR0047303 0044.05903 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Global Optimization Approach to the Linear Complementarity ProblemSIAM Journal on Scientific and Statistical Computing, Vol. 9, No. 2 | 13 July 2006AbstractPDF (1393 KB)Coercivity Conditions in Nonlinear Complementarity ProblemsSIAM Review, Vol. 16, No. 1 | 18 July 2006AbstractPDF (1670 KB)Self-Duality in Mathematical ProgrammingBertram Mond and Richard W. CottleSIAM Journal on Applied Mathematics, Vol. 14, No. 3 | 28 July 2006AbstractPDF (290 KB)Nonlinear Programs with Positively Bounded JacobiansRichaard W. CottleSIAM Journal on Applied Mathematics, Vol. 14, No. 1 | 13 July 2006AbstractPDF (1156 KB) Volume 12, Issue 3| 1964Journal of the Society for Industrial and Applied Mathematics499-685 History Submitted:28 August 1963Published online:13 July 2006 InformationCopyright © 1964 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0112056Article page range:pp. 663-665ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics