An Algorithm for the Inversion of Finite Hankel Matrices
William F. Trench · Journal of the Society for Industrial and Applied Mathematics · 1965
Previous article An Algorithm for the Inversion of Finite Hankel MatricesWilliam F. TrenchWilliam F. Trenchhttps://doi.org/10.1137/0113078PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] J. A. Shohat and , J. D. Tamarkin, The Problem of Moments, American Mathematical Society Mathematical surveys, vol. II, American Mathematical Society, New York, 1943xiv+140, No. 1 MR0008438 0063.06973 CrossrefGoogle Scholar[2] P. G. Guest, Numerical methods of curve fitting, Cambridge University Press, New York, 1961xiv+422 MR0120762 0097.13905 Google Scholar[3] William F. Trench, An algorithm for the inversion of finite Toeplitz matrices, J. Soc. Indust. Appl. Math., 12 (1964), 515–522 10.1137/0112045 MR0173681 0131.36002 LinkISIGoogle Scholar[4] Gabor Szegö, Orthogonal Polynomials, American Mathematical Society, New York, 1939ix+401, Colloquium Publications, vol. 23 MR0000077 0023.21505 CrossrefGoogle Scholar Previous article FiguresRelatedReferencesCited ByDetails Fast Triangular Factorization and Inversion of Hankel and Related Matrices with Arbitrary Rank ProfileSIAM Journal on Matrix Analysis and Applications, Vol. 15, No. 2 | 31 July 2006AbstractPDF (2453 KB)A Weakly Stable Algorithm for Padé Approximants and the Inversion of Hankel MatricesSIAM Journal on Matrix Analysis and Applications, Vol. 14, No. 3 | 17 July 2006AbstractPDF (2937 KB)The Inverses of Block Hankel and Block Toeplitz MatricesSIAM Journal on Computing, Vol. 19, No. 1 | 31 July 2006AbstractPDF (2113 KB)Matrix Padé Fractions and Their ComputationSIAM Journal on Computing, Vol. 18, No. 4 | 13 July 2006AbstractPDF (1787 KB)On Certain Parallel Toeplitz Linear System SolversSIAM Journal on Scientific and Statistical Computing, Vol. 2, No. 2 | 16 May 2012AbstractPDF (1829 KB)Inverses of Toeplitz Operators, Innovations, and Orthogonal PolynomialsSIAM Review, Vol. 20, No. 1 | 10 July 2006AbstractPDF (1209 KB) Volume 13, Issue 4| 1965Journal of the Society for Industrial and Applied Mathematics913-1107 History Submitted:12 February 1965Published online:13 July 2006 InformationCopyright © 1965 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0113078Article page range:pp. 1102-1107ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics