A Class of Methods for Inverting Matrices

Previous article Next article A Class of Methods for Inverting MatricesAlston S. HouseholderAlston S. Householderhttps://doi.org/10.1137/0106012PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Magnus R. Hestenes, Iterative computational methods, Comm. Pure Appl. Math., 8 (1955), 85–95 MR0068313 0066.10201 CrossrefISIGoogle Scholar[2] 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[3] Alston S. Householder, Principles of numerical analysis, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1953x+274 MR0059056 0051.34602 Google Scholar[4] Alston S. Householder, On the convergence of matrix iterations, J. Assoc. Comput. Mach., 3 (1956), 314–324 MR0082185 CrossrefISIGoogle Scholar[5] Alston S. Householder, A survey of some closed methods for inverting matrices, J. Soc. Indust. Appl. Math., 5 (1957), 155–169 10.1137/0105011 MR0091521 0080.33202 LinkISIGoogle Scholar[6] A. M. Turing, Rounding-off errors in matrix processes, Quart. J. Mech. Appl. Math., 1 (1948), 287–308 MR0028100 0033.28501 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Sequential Reduction to Tridiagonal FormF. L. Bauer10 July 2006 | Journal of the Society for Industrial and Applied Mathematics, Vol. 7, No. 1AbstractPDF (398 KB) Volume 6, Issue 2| 1958Journal of the Society for Industrial and Applied Mathematics History Submitted:14 February 1958Published online:10 July 2006 InformationCopyright © 1958 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0106012Article page range:pp. 189-195ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics