A characterization of the Moore-Penrose inverse

DOI10.1016/0024-3795(93)90325-IzbMath0764.15003MaRDI QIDQ1208304

Thomas L. Markham, Miroslav Fiedler

Publication date: 16 May 1993

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

characterizationgeneralized inverseMoore-Penrose inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items

Generalized inverse \(A^{(2)}_{T,S}\) and a rank equation, Characterizations, iterative method, sign pattern and perturbation analysis for the DMP inverse with its applications, Moore-penrose involutions in the classes of laplacians and simplices, Generalized inverses and a block-rank equation., Characterization of generalized inverses by a rank equation., A characterization and perturbation bounds for the weighted core-ep inverse, A characterization of the Drazin inverse, Group inverse and group involutory Matrices^∗, Characterizations, approximation and perturbations of the core-EP inverse, Characterizations and representations of the core inverse and its applications, A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications, Convergence of Rump’s method for computing the Moore-Penrose inverse, Quasidirect addition of matrices and generalized inverses, A characterization for the \(W\)-weighted Drazin inverse and a Cramer rule for the \(W\)-weighted Drazin inverse solution, Moore-Penrose biorthogonal systems in Euclidean spaces, Characterizations and representations for the CMP inverse and its application, The generalized inverse \(A_{T,*}^{(2)}\) and its applications

Cites Work

• What are Schur complements, anyway?
• An Application of Theorems of Schur and Albert
• A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses