Range Decomposition and Generalized Inverse of Nonnegative Hermitian Matrices

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Previous article Next article Range Decomposition and Generalized Inverse of Nonnegative Hermitian MatricesMilton RosenbergMilton Rosenberghttps://doi.org/10.1137/1011089PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] R. Penrose, A generalized inverse for matrices, Proc. Cambridge Philos. Soc., 51 (1955), 406–413 MR0069793 0065.24603 CrossrefGoogle Scholar[2] James B. Robertson and , Milton Rosenberg, The decomposition of matrix-valued measures, Michigan Math. J., 15 (1968), 353–368 10.1307/mmj/1029000039 MR0239044 0167.14602 CrossrefISIGoogle Scholar[3] N. S. Urquhart, Computation of generalized inverse matrices which satisfy specified conditions, SIAM Rev., 10 (1968), 216–218 10.1137/1010035 MR0227186 0157.07003 LinkISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Range decompositions and generalized square roots of positive semidefinite matricesLinear Algebra and its Applications, Vol. 145 | 1 Feb 1991 Cross Ref Characterizations and dispersion-matrix robustness of efficiently estimable parametric functionals in linear models with nuisance parametersLinear Algebra and its Applications, Vol. 127 | 1 Jan 1990 Cross Ref Annotated Bibliography on Generalized Inverses and ApplicationsGeneralized Inverses and Applications | 1 Jan 1976 Cross Ref Matrix Decompositions Involving the Schur ComplementDavid CarlsonSIAM Journal on Applied Mathematics, Vol. 28, No. 3 | 12 July 2006AbstractPDF (829 KB)Shorted Operators. IIW. N. Anderson, Jr. and G. E. TrappSIAM Journal on Applied Mathematics, Vol. 28, No. 1 | 12 July 2006AbstractPDF (1069 KB)Approximations to Generalized Inverses of Linear OperatorsR. H. Moore and M. Z. NashedSIAM Journal on Applied Mathematics, Vol. 27, No. 1 | 12 July 2006AbstractPDF (1415 KB)Operators as spectral integrals of operator-valued functions from the study of multivariate stationary stochastic processesJournal of Multivariate Analysis, Vol. 4, No. 2 | 1 Jun 1974 Cross Ref A Generalization of the Schur Complement by Means of the Moore–Penrose InverseDavid Carlson, Emilie Haynsworth, and Thomas MarkhamSIAM Journal on Applied Mathematics, Vol. 26, No. 1 | 12 July 2006AbstractPDF (551 KB)Shorted OperatorsWilliam N. Anderson, Jr.SIAM Journal on Applied Mathematics, Vol. 20, No. 3 | 12 July 2006AbstractPDF (454 KB) Volume 11, Issue 4| 1969SIAM Review429-672 History Submitted:21 May 1968Published online:18 July 2006 InformationCopyright © 1969 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1011089Article page range:pp. 568-571ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics