Truncation Error Estimates for T-Fractions

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Previous article Next article Truncation Error Estimates for T-FractionsThomas H. JeffersonThomas H. Jeffersonhttps://doi.org/10.1137/0706033PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Peter Henrici and , Pia Pfluger, Truncation error estimates for Stieltjes fractions, Numer. Math., 9 (1966), 120–138 10.1007/BF02166031 MR0212991 0152.15301 CrossrefISIGoogle Scholar[2] William B. Jones and , W. J. Thorn, Further properties of T-fractions, Math. Ann., 166 (1966), 106–118 10.1007/BF01361442 MR0200425 0143.29501 CrossrefISIGoogle Scholar[3] W. J. Thron, Some properties of continued fractions $1+d\sb 0z+K(z/(1+d\sb n z))$, Bull. Amer. Math. Soc., 54 (1948), 206–218 MR0024528 0039.29101 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails A Survey of Truncation Error Analysis for Padé and Continued Fraction ApproximantsNonlinear Numerical Methods and Rational Approximation II | 1 Jan 1994 Cross Ref A survey of truncation error analysis for Pad� and continued fraction approximantsActa Applicandae Mathematicae, Vol. 33, No. 2-3 | 1 Dec 1993 Cross Ref Truncation error bounds for modified continued fractions with applications to special functionsNumerische Mathematik, Vol. 55, No. 3 | 1 May 1989 Cross Ref Positive T-fraction expansions for a family of special functionsAnalytic Theory of Continued Fractions III | 21 October 2006 Cross Ref Continued fractions in numerical analysisApplied Numerical Mathematics, Vol. 4, No. 2-4 | 1 Jun 1988 Cross Ref Truncation error bounds for limit-periodic continued fractionsK(a n /1) with lima n =0Numerische Mathematik, Vol. 46, No. 4 | 1 Dec 1985 Cross Ref Reflections on value regions, limit regions and truncation errors for continued fractionsNumerische Mathematik, Vol. 47, No. 2 | 1 Jun 1985 Cross Ref Truncation Error Bounds for Continued Fractions $K({{a_n } / 1})$ with Parabolic Element RegionsWilliam B. Jones, W. J. Thron, and Haakon WaadelandSIAM Journal on Numerical Analysis, Vol. 20, No. 6 | 17 July 2006AbstractPDF (914 KB)MULTIPLE-POINT PADÉ TABLESPade and Rational Approximation | 1 Jan 1977 Cross Ref On a posteriori error estimatesMathematics of Computation, Vol. 31, No. 137 | 1 January 1977 Cross Ref Estimates of the speed of convergence of continued fraction expansions of functionsMathematics of Computation, Vol. 31, No. 138 | 1 January 1977 Cross Ref Truncation error analysis by means of approximant systems and inclusion regionsNumerische Mathematik, Vol. 26, No. 2 | 1 Jun 1976 Cross Ref A priori estimates for truncation error of continued fractionsK(1/b n )Numerische Mathematik, Vol. 19, No. 4 | 1 Aug 1972 Cross Ref The Padé Table and Its Relation to Certain Algorithms of Numerical AnalysisW. B. GraggSIAM Review, Vol. 14, No. 1 | 18 July 2006AbstractPDF (3619 KB)Singularities of a class of meromorphic functionsProceedings of the American Mathematical Society, Vol. 33, No. 2 | 1 January 1972 Cross Ref A Posteriori Bounds for the Truncation Error of Continued FractionsWilliam B. Jones and W. J. ThronSIAM Journal on Numerical Analysis, Vol. 8, No. 4 | 3 August 2006AbstractPDF (905 KB) Volume 6, Issue 3| 1969SIAM Journal on Numerical Analysis317-522 History Submitted:03 September 1968Published online:14 July 2006 InformationCopyright © 1969 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0706033Article page range:pp. 359-364ISSN (print):0036-1429ISSN (online):1095-7170Publisher:Society for Industrial and Applied Mathematics