On the Convergence of an Algorithm for Best Tchebycheff Approximations

Next article On the Convergence of an Algorithm for Best Tchebycheff ApproximationsJ. R. RiceJ. R. Ricehttps://doi.org/10.1137/0107011PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] N. I. Achieser, Theory of approximation, Translated by Charles J. Hyman, Frederick Ungar Publishing Co., New York, 1956x+307 MR0095369 0072.28403 Google Scholar[2] C. de la Vallée Poussin, Leçons sur l'Approximation des Fonctions d'une Variable Réelle, Gauthier-Villars, Paris, 1919 Google Scholar[3] C. de la Vallée Poussin, Sur la méthode de l'approximation minimum, Ann. Soc. Sci. Bruxelles, Ser. I, 35 (1911), 1–16 Google Scholar[4] A. 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, Mathematical pre-print series No. 7, Convair Astronautics, San Diego, 1957 0084.01902 Google Scholar[5] T. S. Motzkin and , J. L. Walsh, Least pth power polynomials on a finite point set, Trans. Amer. Math. Soc., 83 (1956), 371–396 MR0081991 0072.25206 Google Scholar[6] Abe Shenitzer, Chebyshev approximation of a continuous function by a class of functions, J. Assoc. Comput. Mach., 4 (1957), 30–35 MR0093892 CrossrefISIGoogle Scholar[7] S. I. Zuhovickii˘, An algorithm for the solution of the Čebyšev approximation problem in the case of a finite system of incompatible linear equations, Doklady Akad. Nauk SSSR (N.S.), 79 (1951), 561–564, See also this Journal, 6 (1958), pp. 233–239 MR0043559 Google Scholar Next article FiguresRelatedReferencesCited byDetails On $L_1 $ Approximation I: Computation for Continuous Functions and Continuous Dependence14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 4, No. 1AbstractPDF (1337 KB)Methods—Old and New—for Solving the Tchebycheff Approximation ProblemE. Stiefel14 July 2006 | Journal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis, Vol. 1, No. 1AbstractPDF (1029 KB)Overdetermined Systems of Linear Equations18 July 2006 | SIAM Review, Vol. 5, No. 1AbstractPDF (1162 KB) Volume 7, Issue 2| 1959Journal of the Society for Industrial and Applied Mathematics History Submitted:10 September 1958Published online:10 July 2006 InformationCopyright © 1959 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0107011Article page range:pp. 133-142ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics