Convergence Conditions for Ascent Methods. II: Some Corrections

Previous article Next article Convergence Conditions for Ascent Methods. II: Some CorrectionsPhilip WolfePhilip Wolfehttps://doi.org/10.1137/1013035PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractSome corrections and amplifications are appended to Convergence conditions for ascent methods, this Review, 11 (1969), pp. 226–235.[1] Philip Wolfe, Convergence conditions for ascent methods, SIAM Rev., 11 (1969), 226–235 10.1137/1011036 MR0250453 0177.20603 LinkISIGoogle Scholar[2] R. Fletcher and , M. J. D. Powell, A rapidly convergent descent method for minimization, Comput. J., 6 (1963/1964), 163–168 MR0152116 0132.11603 CrossrefISIGoogle Scholar[3] 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[4] Philip Wolfe, J. Abadie, Convergence theory in nonlinear programmingInteger and nonlinear programming, North-Holland, Amsterdam, 1970, 1–36 MR0437080 0336.90045 Google Scholar[5] Konrad Knopp, The Theory and Application of Infinite Series, Hafner, New York, 1950 Google Scholar[6] Rickard M. Elkin, Convergence theorems for Gauss-Seidel and other minimization algorithms, Tech. Rep., 68–59, Computer Science Center, University of Maryland, College Park, 1968, 121 pp. Google Scholar[7] James W. Daniel, Convergence of the conjugate gradient method with computationally convenient modifications, Numer. Math., 10 (1967), 125–131 10.1007/BF02174144 MR0219232 0178.18302 CrossrefISIGoogle Scholar[8] Ju. I. Ljubič, General theorems on quadratic relaxation, Dokl. Akad. Nauk SSSR, 161 (1965), 1274–1277, Soviet Math. Dokl., 6 (1965), pp. 588–591 MR0198654 0179.20802 Google Scholar[9] B. T. Poljak, Existence theorems and convergence of minimizing sequences for extremal problems with constraints, Dokl. Akad. 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