Bordered Matrices
J. W. Blattner · Journal of the Society for Industrial and Applied Mathematics · 1962
Previous article Next article Bordered MatricesJ. W. BlattnerJ. W. Blattnerhttps://doi.org/10.1137/0110040PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] C. Carathéodory, Variationsrechnung und Partielle Differentialgleichungen Erster Ordnung, B.G. Teubner, Leipzig, 1935 0011.35603 Google Scholar[2] V. N. Faddeeva, Computational methods of linear algebra, Dover Publications Inc., New York, 1959xi+252 MR0100344 0086.10802 Google Scholar[3] Magnus R. Hestenes, Inversion of matrices by biorthogonalization and related results, J. Soc. Indust. Appl. Math., 6 (1958), 51–90 10.1137/0106005 MR0092215 0085.33003 LinkISIGoogle Scholar[4A] A. M. Ostrowski, On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors. I, II, Arch. Rational Mech. Anal. 1 (1958), 233–241, 2 (1958/1959), 423–428 MR0101618 0083.12002 CrossrefISIGoogle Scholar[4B] A. M. Ostrowski, On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors. III. (Generalized Rayleigh quotient characteristic roots with linear elementary divisors), Arch. Rational Mech. Anal., 3 (1959), 325–340 10.1007/BF00284184 MR0105805 0089.11902 CrossrefISIGoogle Scholar[4C] A. M. Ostrowski, On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors. IV. (Generalized Rayleigh quotient for nonlinear elementary divisors), Arch. Rational Mech. Anal., 3 (1959), 341–347 (1959) MR0105806 0089.11902 ISIGoogle Scholar[4D] A. M. Ostrowski, On the convergence of the Rayleigh quotient iteration for the computation of the characteristic roots and vectors. V. Usual Rayleigh quotient for non-Hermitian matrices and linear elementary divisors, Arch. Rational Mech. Anal., 3 (1959), 472–481 (1959) MR0107970 0090.33901 ISIGoogle Scholar[4E] A. M. Ostrowski, On the convergence of the Rayleigh quotient iteration for the computation of characteristic roots and vectors. VI. (Usual Rayleigh quotient for nonlinear elementary divisors), Arch. Rational Mech. Anal., 4 (1959), 153–165 (1959) MR0117880 0090.33901 CrossrefISIGoogle Scholar[5] Alexander Ostrowski, Über näherungsweise Auflösung von Systemen homogener linearer Gleichungen, Z. Angew. Math. Phys., 8 (1957), 280–285 10.1007/BF01600614 MR0090861 0081.12304 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Bordered Matrices, Singular Systems, and Ergodic Markov ChainsSIAM Journal on Scientific and Statistical Computing, Vol. 11, No. 4 | 13 July 2006AbstractPDF (1523 KB)Generalized Green’s Matrices for Two-Point Boundary ProblemsSIAM Journal on Applied Mathematics, Vol. 15, No. 4 | 13 July 2006AbstractPDF (1344 KB)Calculating the Singular Values and Pseudo-Inverse of a MatrixJournal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis, Vol. 2, No. 2 | 14 July 2006AbstractPDF (1596 KB) Volume 10, Issue 3| 1962Journal of the Society for Industrial and Applied Mathematics395-567 History Submitted:18 September 1961Published online:13 July 2006 InformationCopyright © 1962 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0110040Article page range:pp. 528-536ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics