A Class of Iterative Procedures for Linear Inequalities

Previous article Next article A Class of Iterative Procedures for Linear InequalitiesYu-Chi Ho and R. L. KashyapYu-Chi Ho and R. L. Kashyaphttps://doi.org/10.1137/0304010PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout1 Ky Fan, Kuhn and , Tucker, On systems of linear inequalitiesLinear inequalities and related systems, Annals of Mathematics Studies, no. 38, Princeton University Press, Princeton, N.J., 1956, 99–156 MR0087901 Google Scholar2 A. Novikoff, On convergence proofs for perceptrons, Proc. Sympos. Math. Theory of Automata (New York, 1962), Polytechnic Press of Polytechnic Inst. of Brooklyn, Brooklyn, N.Y., 1963, 615–622 MR0175722 0116.34103 Google Scholar3 Shmuel Agmon, The relaxation method for linear inequalities, Canadian J. Math., 6 (1954), 382–392 MR0062786 0055.35001 CrossrefISIGoogle Scholar4 E. Wong and , E. Eisenberg, Iterative synthesis of threshold functions, J. Math. Anal. Appl., 11 (1965), 226–235 10.1016/0022-247X(65)90083-1 MR0184807 0144.00205 CrossrefISIGoogle Scholar5 C. H. Mays, Effect of adaptation parameters on convergence time and tolerance for adaptive threshold elements, IEEE Trans. Electronic Computers, EC-13 (1964), 465–468, (see also Stanford Electronics Laboratory Report SEL-63-027, TR 1557-1, 1963). 0221.68048 CrossrefISIGoogle Scholar6 Y. C. Ho and , R. L. Kashyap, An algorithm for linear inequalities and its applications, IEEE Trans. Electronic Computers, EC-14 (1965), 683–688 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Volume 4, Issue 1| 1966SIAM Journal on Control History Submitted:03 June 1965Published online:18 July 2006 InformationCopyright © 1966 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0304010Article page range:pp. 112-115ISSN (print):0036-1402Publisher:Society for Industrial and Applied Mathematics