Generalized Inverses of Partitioned Matrices
Charles A. Rohde · Journal of the Society for Industrial and Applied Mathematics · 1965
Previous article Next article Generalized Inverses of Partitioned MatricesCharles A. RohdeCharles A. Rohdehttps://doi.org/10.1137/0113070PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] R. C. Bose, Analysis of Variance, 1959, Unpublished lecture notes, University of North Carolina, Chapel Hill Google Scholar[2] Randall E. Cline, Representations for the generalized inverse of a partitioned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[3] J. S. Frame, Matrix functions and applications. I. Matrix operations and generalized inverses, IEEE Spectrum, 1 (1964), 209–220 MR0183716 CrossrefGoogle Scholar[4] R. E. Kalman, New methods in Wiener filtering, Proceedings of the First Symposium on Engineering Applications of Random Function Theory and Probability, John Wiley, New York, 1963 0218.93019 Google Scholar[5] R. Penrose, A generalized inverse for matrices, Proc. Cambridge Philos. Soc., 51 (1955), 406–413 MR0069793 0065.24603 CrossrefGoogle Scholar[6] C. A. Rohde, Ph.D. Thesis, Contributions to the Theory, Computation, and Applications of Generalized Inverses, University of North Carolina at Raleigh, 1964 Google Scholar[7] M. Zelen and , A. J. Goldman, Weak generalized inverses and minimum variance linear unbiasedestimation, Tech. Rep., 314, Mathematics Research Center, U. S. Army, Madison, Wisconsin, 1963 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Scalable Extended Dynamic Mode Decomposition Using Random Kernel ApproximationAnthony M. DeGennaro and Nathan M. Urban9 May 2019 | SIAM Journal on Scientific Computing, Vol. 41, No. 3AbstractPDF (1355 KB)Singular Value Decomposition and the Moore–Penrose Inverse of Bordered Matrices12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 31, No. 1AbstractPDF (647 KB)Generalized Inverse Formulas Using the Schur Complement12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 26, No. 2AbstractPDF (472 KB)A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 26, No. 1AbstractPDF (551 KB)Generalized Inverses and Ranks of Block Matrices12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 25, No. 4AbstractPDF (397 KB)Generalized Inverses of Boolean Relation Matrices12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 20, No. 3AbstractPDF (793 KB)An Explicit Form of the Moore–Penrose Inverse of an Arbitrary Complex Matrix18 July 2006 | SIAM Review, Vol. 12, No. 1AbstractPDF (179 KB)Expressions for Generalized Inverses of a Bordered Matrix with Application to the Theory of Constrained Linear Models18 July 2006 | SIAM Review, Vol. 12, No. 1AbstractPDF (776 KB)A Note on Partitioned Matrices and Equations18 July 2006 | SIAM Review, Vol. 11, No. 2AbstractPDF (228 KB)The Nature of the Lack of Uniqueness of Generalized Inverse Matrices18 July 2006 | SIAM Review, Vol. 11, No. 2AbstractPDF (316 KB)Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses12 July 2006 | SIAM Journal on Applied Mathematics, Vol. 17, No. 2AbstractPDF (399 KB)Computation of Generalized Inverse Matrices which Satisfy Specified Conditions18 July 2006 | SIAM Review, Vol. 10, No. 2AbstractPDF (273 KB)Inverses of Rank Invariant Powers of a Matrix14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 5, No. 1AbstractPDF (1215 KB)A Note on Generalized Interpolation and the Pseudoinverse14 July 2006 | SIAM Journal on Numerical Analysis, Vol. 4, No. 4AbstractPDF (721 KB)On the Geometry of Subspaces in Euclidean n-Spaces13 July 2006 | SIAM Journal on Applied Mathematics, Vol. 15, No. 5AbstractPDF (964 KB)On Construction and Properties of the Generalized Inverse13 July 2006 | SIAM Journal on Applied Mathematics, Vol. 15, No. 2AbstractPDF (355 KB) Volume 13, Issue 4| 1965Journal of the Society for Industrial and Applied Mathematics History Submitted:08 January 1965Accepted:21 April 1965Published online:13 July 2006 InformationCopyright © 1965 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0113070Article page range:pp. 1033-1035ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics