Matrix Inversion by the Annihilation of Rank

Abstract

Previous article Next article Matrix Inversion by the Annihilation of RankHerbert S. WilfHerbert S. Wilfhttps://doi.org/10.1137/0107013PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Jack Sherman and , Winifred J. Morrison, Adjustment of an inverse matrix corresponding to a change in one element of a given matrix, Ann. Math. Statistics, 21 (1950), 124–127 MR0035118 0037.00901 CrossrefISIGoogle Scholar[2] M. S. Bartlett, An inverse matrix adjustment arising in discriminant analysis, Ann. Math. Statistics, 22 (1951), 107–111 MR0040068 0042.38203 CrossrefISIGoogle Scholar[3] Max A. Woodbury, Inverting modified matrices, Statistical Research Group, Memo. Rep. no. 42, Princeton University, Princeton, N. J., 1950, 4– MR0038136 Google Scholar[4] Alston S. Householder, Principles of numerical analysis, McGraw-Hill Book Company, Inc., New York-Toronto-London, 195379, 83 MR0059056 0051.34602 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Preconditioning Sparse Nonsymmetric Linear Systems with the Sherman--Morrison FormulaR. Bru, J. Cerdán, J. Marín, and J. Mas26 July 2006 | SIAM Journal on Scientific Computing, Vol. 25, No. 2AbstractPDF (238 KB)Generalized Inversion of Modified MatricesCarl D. Meyer, Jr.17 February 2012 | SIAM Journal on Applied Mathematics, Vol. 24, No. 3AbstractPDF (530 KB) Volume 7, Issue 2| 1959Journal of the Society for Industrial and Applied Mathematics History Submitted:26 September 1958Published online:10 July 2006 InformationCopyright © 1959 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0107013Article page range:pp. 149-151ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics