Duality for a Class of Infinite Programming Problems
Morgan A Hanson · SIAM Journal on Applied Mathematics · 1968
Previous article Next article Duality for a Class of Infinite Programming ProblemsM. A. HansonM. A. Hansonhttps://doi.org/10.1137/0116025PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Richard Bellman, Dynamic programming, Princeton Univeristy Press, Princeton, N. J., 1957xxv+342 MR0090477 (19,820d) Google Scholar[2] William F. Tyndall, A duality theorem for a class of continuous linear programming problems, J. Soc. Indust. Appl. Math., 13 (1965), 644–666 10.1137/0113043 MR0191640 (32:9043) 0171.40701 LinkISIGoogle Scholar[3] R. J. Duffin and , L. A. Karlovitz, An infinite linear program with a duality gap, Department of Mathematics Rep., Carnegie-Mellon University, Pittsburgh, Pennsylvania, 1964 Google Scholar[4] W. F. Tyndall, An extended duality theorem for continuous linear programming problems, Notices Amer. Math. Soc., 14 (1967), 152–153 Google Scholar[5] W. S. Dorn, A duality theorem for convex programs, IBM J. Res. Develop, 4 (1960), 407–413 MR0114672 (22:5492) 0095.14503 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails CONTINUOUS-TIME QUADRATIC PROGRAMMING PROBLEMS: APPROXIMATE SOLUTIONS AND ERROR ESTIMATIONTaiwanese Journal of Mathematics, Vol. 16, No. 2 Cross Ref Approximate solutions and error bounds for a class of continuous-time linear programming problemsOptimization, Vol. 61, No. 2 Cross Ref Vector continuous-time programming without differentiabilityJournal of Computational and Applied Mathematics, Vol. 234, No. 3 Cross Ref Duality for Nonsmooth Continuous-Time Problems of Vector Optimization16 November 2007 | Journal of Optimization Theory and Applications, Vol. 136, No. 1 Cross Ref Optimality conditions and duality for a class of continuous-time programming problems with nonlinear operator equality and inequality constraintsJournal of Mathematical Analysis and Applications, Vol. 153, No. 2 Cross Ref Optimality conditions and duality for a class of continuous-time generalized fractional programming problemsJournal of Mathematical Analysis and Applications, Vol. 153, No. 2 Cross Ref Continuous-time ProgrammingJournal of Information and Optimization Sciences, Vol. 10, No. 1 Cross Ref Linear-Quadratic Programming and Optimal ControlR. T. Rockafellar14 July 2006 | SIAM Journal on Control and Optimization, Vol. 25, No. 3AbstractPDF (3678 KB)Some remarks concerning duality for continuous-time programming problemsJournal of Mathematical Analysis and Applications, Vol. 114, No. 2 Cross Ref Optimality conditions and Lagrangian duality in continuous-time nonlinear programmingJournal of Mathematical Analysis and Applications, Vol. 109, No. 2 Cross Ref Optimality conditions and duality in continuous programming I. Convex programs and a theorem of the alternativeJournal of Mathematical Analysis and Applications, Vol. 77, No. 1 Cross Ref Duality theorems for a class of continuous linear programming problems in a space of bochneb-integrable abstract functions27 June 2007 | Mathematische Operationsforschung und Statistik. Series Optimization, Vol. 11, No. 3 Cross Ref A Linear Programming Formulation of the Problem of MomentsZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 59, No. 10 Cross Ref Continuous time programming with nonlinear time-delayed constraintsJournal of Mathematical Analysis and Applications, Vol. 46, No. 1 Cross Ref Continuous time programming with nonlinear constraintsJournal of Mathematical Analysis and Applications, Vol. 45, No. 1 Cross Ref On two duality theorems for continuous programming problemsJournal of Mathematical Analysis and Applications, Vol. 31, No. 1 Cross Ref Continuous programming part one: Linear objectivesJournal of Mathematical Analysis and Applications, Vol. 28, No. 1 Cross Ref Duality theorems for continuous linear programming problemsHiroshima Mathematical Journal, Vol. 33, No. 2 Cross Ref Volume 16, Issue 2| 1968SIAM Journal on Applied Mathematics History Submitted:06 July 1966Published online:17 February 2012 InformationCopyright © 1968 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0116025Article page range:pp. 318-323ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics