Duality and a Decomposition Technique
Jacob P. Pearson · SIAM Journal on Control · 1966
Previous article Next article Duality and a Decomposition TechniqueJ. D. PearsonJ. D. Pearsonhttps://doi.org/10.1137/0304016PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] R. Courant and , D. Hilbert, Methods of Mathematical Physics I, Interscience, New York, 1943, 233– Google Scholar[2] Richard Bellman, Quasi-linearization and upper and lower bounds for variational problems, Quart. Appl. Math., 19 (1962), 349–350 MR0130585 Google Scholar[3] J. D. Pearson, A successive approximation method, Proceedings of Fourth Joint Automatic Control Conference, Minneapolis, 1963 Google Scholar[4] M. A. Hanson, Bounds for functionally convex optimal control problems, J. Math. Anal. Appl., 8 (1964), 84–89 10.1016/0022-247X(64)90086-1 MR0158797 CrossrefGoogle Scholar[5] R. J. Ringlee, Bounds for convex variational programming problems arising in power system scheduling and control, Proceedings of Fifth Joint Automatic Control Conference, Stanford, 1964 Google Scholar[6] Jack B. Dennis, Mathematical programming and electrical networks, The Technology Press of The Massachusetts Institute of Technology, Cambridge, Mass., 1959vi+186 MR0108400 Google Scholar[7] S. K. Mitter, Ph.D. Thesis, University of London, 1965 Google Scholar[8] Samuel Karlin, Mathematical methods and theory in games, programming and economics. Vol. I: Matrix games, programming, and mathematical economics, Addison-Wesley Publishing Co., Inc., Reading, Mass.-London, 1959Vol. I, pp. x+433 MR0111634 Google Scholar[9] G. Dantzig and , P. Wolfe, Decomposition principle for linear programs, Operations Res., 8 (1960), 101–111 CrossrefISIGoogle Scholar[10] M. D. Mesarovic, A general systems approach to organizational theory, Rpt., 2-A-61-2, Systems Research Center, 1961 Google Scholar[11] L. S. Lasdon, A multilevel technique for optimization, Rpt., 50-C-64-19, Systems Research Center, 1964 Google Scholar[12] Leonard D. Berkovitz, Variational methods in problems of control and programming, J. Math. Anal. Appl., 3 (1961), 145–169 10.1016/0022-247X(61)90013-0 MR0139030 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Volume 4, Issue 1| 1966SIAM Journal on Control History Submitted:17 June 1965Published online:18 July 2006 InformationCopyright © 1966 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0304016Article page range:pp. 164-172ISSN (print):0036-1402Publisher:Society for Industrial and Applied Mathematics