On Steepest Descent 论文

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Previous article Next article On Steepest DescentA. A. GoldsteinA. A. Goldsteinhttps://doi.org/10.1137/0303013PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. A. Goldstein, Minimizing functionals on Hilbert spaceComputing Methods in Optimization Problems (Proc. Conf., Univ. California, Los Angeles, Calif., 1964), Academic Press, New York, 1964, 159–165 MR0172117 (30:2343) 0151.21005 CrossrefGoogle Scholar[2] Haskell B. Curry, The method of steepest descent for non-linear minimization problems, Quart. Appl. Math., 2 (1944), 258–261 MR0010667 (6,52b) 0061.26801 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Composing Scalable Nonlinear Algebraic SolversPeter R. Brune, Matthew G. Knepley, Barry F. Smith, and Xuemin Tu5 November 2015 | SIAM Review, Vol. 57, No. 4AbstractPDF (1397 KB)A New Conjugate Gradient Method with Guaranteed Descent and an Efficient Line SearchWilliam W. Hager and Hongchao Zhang28 July 2006 | SIAM Journal on Optimization, Vol. 16, No. 1AbstractPDF (299 KB)Convergence of the Iterates of Descent Methods for Analytic Cost FunctionsP. A. Absil, R. Mahony, and B. Andrews28 July 2006 | SIAM Journal on Optimization, Vol. 16, No. 2AbstractPDF (277 KB)A Subspace Decomposition Principle for Scaled Gradient Projection Methods: Global TheoryJ. C. Dunn1 August 2006 | SIAM Journal on Control and Optimization, Vol. 29, No. 5AbstractPDF (1438 KB)Estimating Nonlinear Models by Maximum Likelihood for the Exponential FamilyM. R. Osborne14 July 2006 | SIAM Journal on Scientific and Statistical Computing, Vol. 8, No. 3AbstractPDF (1056 KB)Convergence Properties of Algorithms for Nonlinear OptimizationM J. D. Powell18 July 2006 | SIAM Review, Vol. 28, No. 4AbstractPDF (1604 KB)Analysis of Newton's Method at Irregular SingularitiesA. Griewank and M. R. Osborne17 July 2006 | SIAM Journal on Numerical Analysis, Vol. 20, No. 4AbstractPDF (2302 KB)Global and Asymptotic Convergence Rate Estimates for a Class of Projected Gradient ProcessesJ. C. Dunn1 August 2006 | SIAM Journal on Control and Optimization, Vol. 19, No. 3AbstractPDF (2616 KB)Newton's Method and the Goldstein Step-Length Rule for Constrained Minimization ProblemsJ. C. Dunn18 July 2006 | SIAM Journal on Control and Optimization, Vol. 18, No. 6AbstractPDF (1556 KB)Convergence Rates for Conditional Gradient Sequences Generated by Implicit Step Length RulesJ. C. Dunn18 July 2006 | SIAM Journal on Control and Optimization, Vol. 18, No. 5AbstractPDF (1434 KB)Quasi-Newton Methods, Motivation and TheoryJ. E. Dennis, Jr. and Jorge J. Moré18 July 2006 | SIAM Review, Vol. 19, No. 1AbstractPDF (4566 KB)An Historical Survey of Computational Methods in Optimal ControlE. Polak2 August 2006 | SIAM Review, Vol. 15, No. 2AbstractPDF (3413 KB)A Convergence Theory for a Class of Nonlinear Programming ProblemsSteven W. Rauch14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 10, No. 1AbstractPDF (2034 KB)Finite-Dimensional Approximations of State-Constrained Continuous Optimal Control ProblemsJane Cullum18 July 2006 | SIAM Journal on Control, Vol. 10, No. 4AbstractPDF (2259 KB)On the Convergence of Some Feasible Direction Algorithms for Nonlinear ProgrammingDonald M. Topkis and Arthur F. Veinott, Jr.18 July 2006 | SIAM Journal on Control, Vol. 5, No. 2AbstractPDF (1369 KB)Minimizing Functionals on Normed-Linear SpacesA. A. Goldstein18 July 2006 | SIAM Journal on Control, Vol. 4, No. 1AbstractPDF (814 KB)Convex Programming and Optimal ControlA. A. Goldstein1 August 2006 | Journal of the Society for Industrial and Applied Mathematics Series A Control, Vol. 3, No. 1AbstractPDF (496 KB) Volume 3, Issue 1| 1965Journal of the Society for Industrial and Applied Mathematics Series A Control History Submitted:27 April 1965Published online:01 August 2006 InformationCopyright © 1965 © Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0303013Article page range:pp. 147-151ISSN (print):0887-4603ISSN (online):2168-359XPublisher:Society for Industrial and Applied Mathematics