Representations for the Generalized Inverse of a Partitioned Matrix
Randall E. Cline · Journal of the Society for Industrial and Applied Mathematics · 1964
Previous article Next article Representations for the Generalized Inverse of a Partitioned MatrixRandall E. ClineRandall E. Clinehttps://doi.org/10.1137/0112050PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] E. H. Moore, General analysis, I, Mem. Amer. Philos. Soc., (1935), 0013.11605 Google Scholar[2] R. Penrose, A generalized inverse for matrices, Proc. Cambridge Philos. Soc., 51 (1955), 406–413 MR0069793 0065.24603 CrossrefGoogle Scholar[3] R. Rado, Note on generalized inverses of matrices, Proc. Cambridge Philos. Soc., 52 (1956), 600–601 MR0081255 0071.24702 CrossrefGoogle Scholar[4] Arne Bjerhammar, Rectangular reciprocal matrices, with special reference to geodetic calculations, Bull. Géodésique, 1951 (1951), 188–220 MR0043758 CrossrefGoogle Scholar[5] C. Lanczos, Linear systems in self-adjoint form, Amer. Math. Monthly, 65 (1958), 665–679 MR0103196 0083.00604 CrossrefGoogle Scholar[6] T. N. E. 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Pyle, Masters Thesis, The generalized inverse in linear programming, Doctoral Thesis, Purdue University, 1960 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Recursive Best Approximate Solution AlgorithmsNariyasu Minamide2 August 2006 | SIAM Journal on Algebraic Discrete Methods, Vol. 6, No. 3AbstractPDF (471 KB)An Extension of the Matrix Inversion LemmaNariyasu Minamide2 August 2006 | SIAM Journal on Algebraic Discrete Methods, Vol. 6, No. 3AbstractPDF (474 KB)Further Results on Generalized Inverses of Partitioned Matrices28 July 2006 | SIAM Journal on Applied Mathematics, Vol. 30, No. 4AbstractPDF (512 KB)The Generalized Inverse in Linear Programming—Interior Gradient Projection Methods17 February 2012 | SIAM Journal on Applied Mathematics, Vol. 24, No. 4AbstractPDF (1707 KB)Generalized Inverses of Block Triangular Matrices12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 19, No. 4AbstractPDF (750 KB)An Explicit Form of the Moore–Penrose Inverse of an Arbitrary Complex Matrix18 July 2006 | SIAM Review, Vol. 12, No. 1AbstractPDF (179 KB)A Note on Partitioned Matrices and Equations18 July 2006 | SIAM Review, Vol. 11, No. 2AbstractPDF (228 KB)Inverses of Rank Invariant Powers of a Matrix14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 5, No. 1AbstractPDF (1215 KB)On the Geometry of Subspaces in Euclidean n-Spaces13 July 2006 | SIAM Journal on Applied Mathematics, Vol. 15, No. 5AbstractPDF (964 KB)Two Algorithms Related to the Method of Steepest Descent14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 4, No. 1AbstractPDF (798 KB)On Construction and Properties of the Generalized Inverse13 July 2006 | SIAM Journal on Applied Mathematics, Vol. 15, No. 2AbstractPDF (355 KB)On Partial Isometries in Finite-Dimensional Euclidean Spaces28 July 2006 | SIAM Journal on Applied Mathematics, Vol. 14, No. 3AbstractPDF (994 KB)Generalized Inverses of Partitioned Matrices13 July 2006 | Journal of the Society for Industrial and Applied Mathematics, Vol. 13, No. 4AbstractPDF (242 KB)On the Generalized Inverse of an Incidence Matrix13 July 2006 | Journal of the Society for Industrial and Applied Mathematics, Vol. 13, No. 3AbstractPDF (781 KB)Representations for the Generalized Inverse of Sums of Matrices3 August 2006 | Journal of the Society for Industrial and Applied Mathematics Series B Numerical Analysis, Vol. 2, No. 1AbstractPDF (1047 KB) Volume 12, Issue 3| 1964Journal of the Society for Industrial and Applied Mathematics History Submitted:17 October 1963Published online:13 July 2006 InformationCopyright © 1964 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0112050Article page range:pp. 588-600ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics