Pseudoinverss of Postive Semidefeinite Matrices
Truman O. Lewis, Thomas G. Newman · SIAM Journal on Applied Mathematics · 1968
Previous article Next article Pseudoinverss of Postive Semidefeinite MatricesT. O. Lewis and T. G. NewmanT. O. Lewis and T. G. Newmanhttps://doi.org/10.1137/0116057PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] M. P. Drazin, Pseudo-inverses in associative rings and semigroups, Amer. Math. Monthly, 65 (1958), 506–514 MR0098762 0083.02901 CrossrefGoogle Scholar[2] T. N. E. Greville, The pseudoinverse of a rectangular or singular matrix and its application to the solution of systems of linear equations, SIAM Rev., 1 (1959), 38–43 10.1137/1001003 MR0101615 0123.11202 LinkISIGoogle Scholar[3] M. H. Pearl, On generalized inverses of matrices, Proc. Cambridge Philos. Soc., 62 (1966), 673–677 MR0197485 0158.03502 CrossrefISIGoogle Scholar[4] James E. Scroggs and , Patrick L. Odell, An alternate definition of a pseudoinverse of a matrix, SIAM J. Appl. Math., 14 (1966), 796–810 10.1137/0114067 MR0204446 0196.30103 LinkISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited byDetails On resistance matrices of weighted balanced digraphs1 July 2022 | Linear and Multilinear Algebra Cross Ref On the properties of Laplacian pseudoinverses Cross Ref Remote State Estimation With a Strategic Sensor Using a Stackelberg Game FrameworkIEEE Transactions on Control of Network Systems, Vol. 8, No. 4 Cross Ref The Braess' paradox for pendent twinsLinear Algebra and its Applications, Vol. 590 Cross Ref Tucker's theorem for almost skew-symmetric matrices and a proof of Farkas' lemmaLinear Algebra and its Applications, Vol. 482 Cross Ref Low-rank approximations for computing observation impact in 4D-Var data assimilationComputers & Mathematics with Applications, Vol. 67, No. 12 Cross Ref The First Problem of Algebraic Regression21 December 2011 Cross Ref The Fifth Problem of Probabilistic Regression21 December 2011 Cross Ref The Nonlinear Problem of the 3d Datum Transformation and the Procrustes Algorithm21 December 2011 Cross Ref The Sixth Problem of Generalized Algebraic Regression21 December 2011 Cross Ref Special Problems of Algebraic Regression and Stochastic Estimation21 December 2011 Cross Ref Algebraic Solutions of Systems of Equations21 December 2011 Cross Ref The First Problem of Probabilistic Regression: The Bias Problem21 December 2011 Cross Ref The Second Problem of Probabilistic Regression21 December 2011 Cross Ref The Third Problem of Algebraic Regression21 December 2011 Cross Ref The Third Problem of Probabilistic Regression21 December 2011 Cross Ref The Fourth Problem of Probabilistic Regression21 December 2011 Cross Ref The Fifth Problem of Algebraic Regression: The System of Conditional Equations: Homogeneous and Inhomogeneous Equations: $$\{\mathbf{By} = \mathbf{Bi}\ \mathbf{versus} -\mathbf{c} + \mathbf{By} = \mathbf{Bi}\}$$21 December 2011 Cross Ref Shorted Operators Relative to a Partial Order in a Regular RingCommunications in Algebra, Vol. 37, No. 11 Cross Ref Cartesian Decomposition of an Almost Definite Complex MatrixAdvances in Applied Mathematics, Vol. 26, No. 1 Cross Ref Langevin dynamics of a polymer with internal distance constraints1 March 1997 | Physical Review E, Vol. 55, No. 3 Cross Ref On löwner-ordering antitonicity of matrix inversionActa Mathematicae Applicatae Sinica, Vol. 12, No. 4 Cross Ref Statistical mechanics of macromolecular networks without replicas1 January 1999 | Journal of Physics A: Mathematical and General, Vol. 28, No. 23 Cross Ref On parallel summability of matricesLinear Algebra and its Applications, Vol. 74 Cross Ref The Fundamental Bordered Matrix of Linear Estimation and the Duffin-Morley General Linear Electromechanical Systems2 May 2007 | Applicable Analysis, Vol. 14, No. 4 Cross Ref Shorted matrices—an extended concept and some applicationsLinear Algebra and its Applications, Vol. 42 Cross Ref Transform Approach to Electromagnetic Scattering Cross Ref Inequalities induced by network connections II. 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