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On the Convergence of Some Feasible Direction Algorithms for Nonlinear Programming

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1967

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Previous article Next article On the Convergence of Some Feasible Direction Algorithms for Nonlinear ProgrammingDonald M. Topkis and Arthur F. Veinott, Jr.Donald M. Topkis and Arthur F. Veinott, Jr.https://doi.org/10.1137/0305018PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Edward W. Barankin, Bounds for the characteristic roots of a matrix, Bull. Amer. Math. Soc., 51 (1945), 767–770 MR0013118 0061.01507 CrossrefISIGoogle Scholar[2] A. Cauchy, Méthode générale pour la résolution des systèmes d'équations simultanées, C. R. Acad. Sci. Paris, 25 (1847), 536–538 Google Scholar[3] Jean Bronfenbrenner Crockett and , Herman Chernoff, Gradient methods of maximization, Pacific J. Math., 5 (1955), 33–50 MR0075676 0066.10103 CrossrefGoogle Scholar[4] Haskell B. Curry, The method of steepest descent for non-linear minimization problems, Quart. Appl. Math., 2 (1944), 258–261 MR0010667 0061.26801 CrossrefGoogle Scholar[5] D. A. 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Dokl., 4 (1963), 901–904 0143.17801 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails An Efficient Method of Feasible DirectionsGerard G. L. Meyer17 February 2012 | SIAM Journal on Control and Optimization, Vol. 21, No. 1AbstractPDF (1058 KB)On Constraint Dropping Schemes and Optimality Functions for a Class of Outer Approximations AlgorithmsC. Gonzaga and E. Polak18 July 2006 | SIAM Journal on Control and Optimization, Vol. 17, No. 4AbstractPDF (1816 KB)On Finding the Maximal Range of Validity of a Constrained SystemShmuel Gal, Boris Bachelis, and Aharon Ben-Tal18 July 2006 | SIAM Journal on Control and Optimization, Vol. 16, No. 3AbstractPDF (2826 KB)A Comparison of the Forcing Function and Point-to-Set Mapping Approaches to Convergence AnalysisR. R. Meyer1 August 2006 | SIAM Journal on Control and Optimization, Vol. 15, No. 4AbstractPDF (2060 KB)A Finitely Solvable Class of Approximating ProblemsGerard G. L. 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