Computational Aspects of Chebyshev Approximation Using a Generalized Weight Function

Previous article Next article Computational Aspects of Chebyshev Approximation Using a Generalized Weight FunctionD. G. MoursundD. G. Moursundhttps://doi.org/10.1137/0705010PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] David G. Moursund, Chebyshev approximation using a generalized weight function, SIAM J. Numer. Anal., 3 (1966), 435–450 10.1137/0703038 MR0204936 0163.07302 LinkGoogle Scholar[2] David G. Moursund, Optimal starting values for Newton-Raphson calculation of x, Comm. ACM, 10 (1967), 430–432 10.1145/363427.363454 MR0240952 CrossrefISIGoogle Scholar[3] D. G. Moursund and , G. D. Taylor, Optimal starting values for the Newton-Raphson calculation of inverses of certain functions, SIAM J. Numer. Anal., 5 (1968), 138–150 10.1137/0705011 MR0225481 0164.17401 LinkISIGoogle Scholar[4] John R. Rice, The approximation of functions. Vol. I: Linear theory, Addison-Wesley Publishing Co., Reading, Mass.-London, 1964xi+203 MR0166520 0114.27001 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails The best interpolating approximation and weighted approximationJournal of Approximation Theory, Vol. 35, No. 1 Cross Ref Vergleich zwischen Diskretisierungsverfahren und parametrischen Methoden an einfachen TestbeispielenZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 56, No. 1 Cross Ref Simultanapproximation bei Randwertaufgaben Cross Ref A Linear Remes-Type Algorithm for Relative Error ApproximationMartha Ann Griesel14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 11, No. 1AbstractPDF (395 KB)Computing fourier integrals by means of near-optimal quadrature rules of the Lagrangian typeComputing, Vol. 11, No. 1 Cross Ref An Improved Newton Iteration for Calculating Roots which is Optimal Cross Ref Optimal starting approximations for generating square root for slow or no divideCommunications of the ACM, Vol. 13, No. 9 Cross Ref A Survey of Practical Rational and Polynomial Approximation of FunctionsW. J. Cody18 July 2006 | SIAM Review, Vol. 12, No. 3AbstractPDF (2298 KB)Some Remarks on a Paper of D. G. MoursundL. Wuytack14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 7, No. 2AbstractPDF (426 KB)On an algorithm for nonlinear minimax approximationCommunications of the ACM, Vol. 13, No. 3 Cross Ref Chebyshev approximation with respect to a weight functionJournal of Approximation Theory, Vol. 2, No. 3 Cross Ref On Approximations by Polynomials Having Restricted Ranges. IIL. L. Schumaker and G. D. Taylor14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 6, No. 1AbstractPDF (536 KB)Uniform Rational Approximation Using a Generalized Weight FunctionD. G. Moursund and G. D. Taylor14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 5, No. 4AbstractPDF (647 KB)Uniform rational weighted approximations having restricted rangesJournal of Approximation Theory, Vol. 1, No. 4 Cross Ref On Approximation by Polynomials Having Restricted RangesG. D. Taylor3 August 2006 | SIAM Journal on Numerical Analysis, Vol. 5, No. 2AbstractPDF (1067 KB)Optimal Starting Values for the Newton-Raphson Calculation of Inverses of Certain FunctionsD. G. Moursund and G. D. Taylor14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 5, No. 1AbstractPDF (1155 KB) Volume 5, Issue 1| 1968SIAM Journal on Numerical Analysis History Submitted:13 March 1967Published online:14 July 2006 InformationCopyright © 1968 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0705010Article page range:pp. 126-137ISSN (print):0036-1429ISSN (online):1095-7170Publisher:Society for Industrial and Applied Mathematics