A Characterization for Generalized Inverses of Matrices
Gerald L. Morris, Patrick L. Odell · SIAM Review · 1968
Previous article Next article A Characterization for Generalized Inverses of MatricesGerald L. Morris and Patrick L. OdellGerald L. Morris and Patrick L. Odellhttps://doi.org/10.1137/1010032PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] E. H. Moore, On reciprocal of the general algebraic matrix, Bull. Amer. Math. Soc., 26 (1920), 394–395 Google Scholar[2] R. Penrose, A generalized inverse for matrices, Proc. Cambridge Philos. Soc., 51 (1955), 406–413 MR0069793 0065.24603 CrossrefGoogle Scholar[3] Sam Perlis, Theory of matrices, Addison-Wesley Press, Inc., Cambridge, Mass., 1952xiv+237 MR0048384 0046.24102 Google Scholar[4] C. R. Rao, A note on a generalized inverse of a matrix with applications to problems in mathematical statistics, J. Roy. Statist. Soc. Ser. B, 24 (1955), 152–158 Google Scholar[5] Charles A. Rohde, Some results on generalized inverses, SIAM Rev., 8 (1966), 201–205 10.1137/1008040 MR0210722 0138.25303 LinkISIGoogle Scholar[6] Charles A. Rohde, Masters Thesis, Contributions to the theory, computation and application of generalized inverses, Doctoral dissertation, Department of Statistics, North Carolina State University, Raleigh, 1964 Google Scholar[7] M. Zelen and , A. J. Goldman, Weak generalized inverses and minimum variance linear unbiased estimation, Tech. Rep., 314, Mathematics Research Center, U.S. Army, University of Wisconsin, Madison, 1963 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails BibliographyContemporary Statistical Models for the Plant and Soil Sciences | 13 January 2010 Cross Ref Computational methods of linear algebraJournal of Soviet Mathematics, Vol. 15, No. 5 | 1 Jan 1981 Cross Ref A determinant for rectangular matricesBulletin of the Australian Mathematical Society, Vol. 21, No. 1 | 17 April 2009 Cross Ref Annotated Bibliography on Generalized Inverses and ApplicationsGeneralized Inverses and Applications | 1 Jan 1976 Cross Ref Das verallgemeinerte Inverse eines linearen Operators in Vektorräumen mit nicht ausgearteter Hermitescher Metrik über einenm kommutativen Körper.Journal für die reine und angewandte Mathematik (Crelles Journal), Vol. 1972, No. 252 | 1 Jan 1972 Cross Ref The Nature of the Lack of Uniqueness of Generalized Inverse MatricesN. S. UrquhartSIAM Review, Vol. 11, No. 2 | 18 July 2006AbstractPDF (316 KB)On Some Representations of Generalized InversesR. P. TewarsonSIAM Review, Vol. 11, No. 2 | 18 July 2006AbstractPDF (278 KB) Volume 10, Issue 2| 1968SIAM Review History Submitted:04 August 1967Published online:18 July 2006 InformationCopyright © 1968 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1010032Article page range:pp. 208-211ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics