An Application of the Cayley-Hamilton Theorem to Generalized Matrix Inversion
H. P. Decell · SIAM Review · 1965
Previous article Next article An Application of the Cayley-Hamilton Theorem to Generalized Matrix InversionHenry P. Decell, Jr.Henry P. Decell, Jr.https://doi.org/10.1137/1007108PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Arne Bjerhammar, Rectangular reciprocal matrices, with special reference to geodetic calculations, Bull. Géodésique, 1951 (1951), 188–220 MR0043758 CrossrefGoogle Scholar[2] 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[3] D. K. Faddeev and , V. N. Faddeeva, Computational methods of linear algebra, Translated by Robert C. Williams, W. H. Freeman and Co., San Francisco, 1963, 260–265 MR0158519 Google Scholar[4] Charles M. Price, The matrix pseudo-inverse and minimal variance estimates, SIAM Rev., 6 (1964), 115–120 10.1137/1006029 MR0169369 0125.37202 LinkISIGoogle Scholar[5] E. H. Moore, On the reciprocal of the general algebraic matrix, Bull. Amer. Math. Soc., 26 (1920), 394–395, Abstract Google Scholar[6] R. Penrose, A generalized inverse for matrices, Proc. Cambridge Philos. Soc., 51 (1955), 406–413 MR0069793 0065.24603 CrossrefGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails On efficient computation of rational {1,2}-pseudo-inverses for multivariable rational matrix-valued functions and their applicationsMechanical Systems and Signal Processing, Vol. 184 Cross Ref Quasiconvexity, Null Lagrangians, and Hardy Space Integrability Under Constant Rank Constraints13 May 2022 | Archive for Rational Mechanics and Analysis, Vol. 245, No. 1 Cross Ref $\mathcal{A}$-Quasiconvexity, Gårding Inequalities, and Applications in PDE Constrained Problems in Dynamics and StaticsKonstantinos Koumatos and Andreas P. 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