Approximation with Convex Constraints

Previous article Next article Approximation with Convex ConstraintsJ. R. RiceJ. R. Ricehttps://doi.org/10.1137/0111002PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] E. W. Cheney and , A. A. Goldstein, Newton's method for convex programming and Tchebycheff approximation., Numer. Math., 1 (1959), 253–268 10.1007/BF01386389 MR0109430 0113.10703 CrossrefGoogle Scholar[2] Allen A. Goldstein and , Ward Cheney, A finite algorithm for the solution of consistent linear equations and inequalities and for the Tchebycheff approximation of inconsistent linear equations, Pacific J. Math., 8 (1958), 415–427 MR0101505 0084.01902 CrossrefGoogle Scholar[3] T. J. Rivlin and , H. S. Shapiro, A unified approach to certain problems of approximation and minimization, J. Soc. Indust. Appl. Math., 9 (1961), 670–699 10.1137/0109056 MR0133636 0111.06103 LinkISIGoogle Scholar[4] E. Stiefel, Note on Jordan elimination, linear programming and Tchebycheff approximation, Numer. Math., 2 (1960), 1–17 10.1007/BF01386203 MR0111124 0097.32306 CrossrefGoogle Scholar[5] Ch. de la Vallée Poussin, Leçons sur l'approximation des fonctions d'une variable réele, Gauthier-Villars, Paris, 1919 Google Scholar[6] N. I. Achieser, Theory of approximation, Translated by Charles J. Hyman, Frederick Ungar Publishing Co., New York, 1956x+307 MR0095369 0072.28403 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Structure-Preserving Function Approximation via Convex OptimizationVidhi Zala, Mike Kirby, and Akil NarayanSIAM Journal on Scientific Computing, Vol. 42, No. 5 | 30 September 2020AbstractPDF (7168 KB)Some Algorithms for Computing Best Approximations from Convex ConesSIAM Journal on Numerical Analysis, Vol. 12, No. 3 | 14 July 2006AbstractPDF (1286 KB)Approximation with Convex ConstraintsSIAM Review, Vol. 15, No. 1 | 18 July 2006AbstractPDF (2399 KB)Formulation of Linear Programs in Analysis. I: Approximation TheoryR. J. Duffin and L. A. KarlovitzSIAM Journal on Applied Mathematics, Vol. 16, No. 4 | 12 July 2006AbstractPDF (1382 KB)Error Bounds in Constrained Best ApproximationM. A. HansonJournal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis, Vol. 2, No. 3 | 14 July 2006AbstractPDF (458 KB)Overdetermined Systems of Linear EquationsSIAM Review, Vol. 5, No. 1 | 18 July 2006AbstractPDF (1162 KB) Volume 11, Issue 1| 1963Journal of the Society for Industrial and Applied Mathematics1-204 History Submitted:07 December 1961Published online:13 July 2006 InformationCopyright © 1963 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0111002Article page range:pp. 15-32ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics