On Some Representations of Generalized Inverses

Previous article Next article On Some Representations of Generalized InversesR. P. TewarsonR. P. Tewarsonhttps://doi.org/10.1137/1011045PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] R. P. Tewarson, On computing generalized inverses, Computing (Arch. Elektron. Rechnen), 4 (1969), 139–152 MR0246499 0182.21203 Google Scholar[2] R. Penrose, A generalized inverse for matrices, Proc. Cambridge Philos. Soc., 51 (1955), 406–413 MR0069793 0065.24603 CrossrefGoogle Scholar[3] Gerald L. Morris and , Patrick L. Odell, A characterization for generalized inverses of matrices, SIAM Rev., 10 (1968), 208–211 10.1137/1010032 MR0244278 0179.05105 LinkISIGoogle Scholar[4] T. M. Whitney and , R. K. Meany, Two algorithms related to the method of steepest descent, SIAM J. Numer. Anal., 4 (1967), 109–118 10.1137/0704010 MR0214274 0173.17806 LinkGoogle Scholar[5] C. A. Desoer and , B. H. Whalen, A note on pseudoinverses, J. Soc. Indust. Appl. Math., 11 (1963), 442–447 10.1137/0111031 MR0156199 0123.09603 LinkISIGoogle Scholar[6] Morris Newman, J. Todd, Matrix computationsSurvey of numerical analysis, McGraw-Hill, New York, 1962, 222–254 MR0149654 Google Scholar[7] 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 Previous article Next article FiguresRelatedReferencesCited byDetails Computational methods of linear algebraJournal of Soviet Mathematics, Vol. 15, No. 5 Cross Ref Annotated Bibliography on Generalized Inverses and Applications Cross Ref Characterization of linear stationary iterative processes for solving a singular system of linear equationsNumerische Mathematik, Vol. 22, No. 5 Cross Ref Optimal quadrature formulas using generalized inverses. I. General theory and minimum variance formulas1 January 1971 | Mathematics of Computation, Vol. 25, No. 115 Cross Ref Subclasses of generalized inverses of matricesAnnals of the Institute of Statistical Mathematics, Vol. 22, No. 1 Cross Ref Steepest Descent for Singular Linear Operator Equations14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 7, No. 3AbstractPDF (432 KB) Volume 11, Issue 2| 1969SIAM Review History Submitted:11 July 1968Published online:18 July 2006 InformationCopyright © 1969 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1011045Article page range:pp. 272-276ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics