The Gradient Projection Method for Nonlinear Programming. Part II. Nonlinear Constraints

Previous article Next article The Gradient Projection Method for Nonlinear Programming. Part II. Nonlinear ConstraintsJ. B. RosenJ. B. Rosenhttps://doi.org/10.1137/0109044PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout1 V. N. Faddeeva, Computational methods of linear algebra, Dover Publications Inc., New York, 1959, 59– MR0100344 0086.10802 Google Scholar2 J. E. Kelley, Jr., The cutting-plane method for solving convex programs, J. Soc. Indust. Appl. Math., 8 (1960), 703–712 10.1137/0108053 MR0118538 0098.12104 LinkISIGoogle Scholar3 J. B. Rosen, The gradient projection method for nonlinear programming. I. Linear constraints, J. Soc. Indust. Appl. Math., 8 (1960), 181–217 10.1137/0108011 MR0112750 0099.36405 LinkISIGoogle Scholar4 J. B. Rosen, The gradient projection method for nonlinear programming. Part II. Non-linear constraints, Presented at RAND Symposium on Mathematical Programming, 1959, March Google Scholar5 J. B. Rosen, Stability of differential equations and equivalent nonlinear programming problem, Notices Amer. Math. Soc., 7 (1960), 996– Google Scholar6 Peter Wegner, A non-linear extension of the simplex method, Management. Sci., 7 (1960/1961), 43–55 MR0115828 0995.90624 CrossrefISIGoogle Scholar7 G. Zoutendijk, Methods of feasible directions: A study in linear and non-linear programming, Elsevier Publishing Co., Amsterdam-London-New York-Princeton, N.J., 1960ii+127 MR0129119 0097.35408 Google Scholar8 H. W. Kuhn and , A. W. Tucker, 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 Scholar9 O. L. Mangasarian, Equivalence of the Kuhn-Tucker and gradient projection conditions for constrained maxima, to be published Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Riemannian Multigrid Line Search for Low-Rank ProblemsMarco Sutti and Bart Vandereycken20 May 2021 | SIAM Journal on Scientific Computing, Vol. 43, No. 3AbstractPDF (1015 KB)A Projected Gradient and Constraint Linearization Method for Nonlinear Model Predictive ControlGiampaolo Torrisi, Sergio Grammatico, Roy S. 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Part I. Linear ConstraintsJ. B. Rosen10 July 2006 | Journal of the Society for Industrial and Applied Mathematics, Vol. 8, No. 1AbstractPDF (3437 KB) Volume 9, Issue 4| 1961Journal of the Society for Industrial and Applied Mathematics History Submitted:27 January 1961Published online:10 July 2006 InformationCopyright © 1961 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0109044Article page range:pp. 514-532ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics