A Note on Partitioned Matrices and Equations
Adi Ben-Israel · SIAM Review · 1969
Previous article Next article A Note on Partitioned Matrices and EquationsAdi Ben-IsraelAdi Ben-Israelhttps://doi.org/10.1137/1011038PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Adi Ben-Israel, On the geometry of subspaces in Euclidean n-spaces, SIAM J. Appl. Math., 15 (1967), 1184–1198 10.1137/0115101 MR0223376 0178.03201 LinkISIGoogle Scholar[2] A. Ben-Israel and , A. Charnes, Contributions to the theory of generalized inverses, J. Soc. Indust. Appl. Math., 11 (1963), 667–699 10.1137/0111051 MR0179192 0116.32202 LinkISIGoogle Scholar[3] Randall E. Cline, Representations for the generalized inverse of a partitioned matrix, J. Soc. Indust. Appl. Math., 12 (1964), 588–600 10.1137/0112050 MR0172890 0166.29902 LinkISIGoogle Scholar[4] T. N. E. Greville, Some applications of the pseudoinverse of a matrix, SIAM Rev., 2 (1960), 15–22 10.1137/1002004 MR0110185 0168.13303 LinkISIGoogle Scholar[5] R. Penrose, A generalized inverse for matrices, Proc. Cambridge Philos. Soc., 51 (1955), 406–413 MR0069793 0065.24603 CrossrefGoogle Scholar[6] R. Penrose, On best approximation solutions of linear matrix equations, Proc. Cambridge Philos. Soc., 52 (1956), 17–19 MR0074092 0070.12501 CrossrefGoogle Scholar[7] Charles A. Rohde, Generalized inverses of partitioned matrices, J. Soc. Indust. Appl. Math., 13 (1965), 1033–1035 10.1137/0113070 MR0190161 0145.03801 LinkISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails A vertex-centred finite volume method for the 3D multi-term time and space fractional Bloch–Torrey equation with fractional LaplacianCommunications in Nonlinear Science and Numerical Simulation, Vol. 114 | 1 Nov 2022 Cross Ref Computational AspectsGeneralized Inverses: Theory and Computations | 13 May 2018 Cross Ref Definitions and MotivationsAlgebraic Properties of Generalized Inverses | 8 October 2017 Cross Ref More on generalized inverses of partitioned matrices with Banachiewicz–Schur formsLinear Algebra and its Applications, Vol. 430, No. 5-6 | 1 Mar 2009 Cross Ref New vector sequence transformationsLinear Algebra and its Applications, Vol. 389 | 1 Sep 2004 Cross Ref Pseudo-Schur complements and their propertiesApplied Numerical Mathematics, Vol. 50, No. 3-4 | 1 Sep 2004 Cross Ref Computational methods of linear algebraJournal of Soviet Mathematics, Vol. 15, No. 5 | 1 Jan 1981 Cross Ref Annotated Bibliography on Generalized Inverses and ApplicationsGeneralized Inverses and Applications | 1 Jan 1976 Cross Ref Generalized Inverse Formulas Using the Schur ComplementSIAM Journal on Applied Mathematics, Vol. 26, No. 2 | 12 July 2006AbstractPDF (472 KB)A Generalization of the Schur Complement by Means of the Moore–Penrose InverseSIAM Journal on Applied Mathematics, Vol. 26, No. 1 | 12 July 2006AbstractPDF (551 KB)An Explicit Form of the Moore–Penrose Inverse of an Arbitrary Complex MatrixSIAM Review, Vol. 12, No. 1 | 18 July 2006AbstractPDF (179 KB) Volume 11, Issue 2| 1969SIAM Review127-306 History Submitted:18 July 1968Published online:18 July 2006 InformationCopyright © 1969 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1011038Article page range:pp. 247-250ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics