Rank equalities related to the generalized inverse \(A^{(2)}_{T,S}\) with applications

DOI10.1016/j.amc.2008.08.016zbMath1159.15006OpenAlexW2163891738MaRDI QIDQ2378777

Guang-Jing Song, Chun-Yan Lin, Qing-Wen Wang

Publication date: 14 January 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.08.016

zbMATH Keywords

Drazin inverserankweighted Moore-Penrose inverseMoore-Penrose inverseblock matrixlinear matrix expression

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (6)

Ranks of a constrained Hermitian matrix expression with applications ⋮ The optimization on ranks and inertias of a quadratic Hermitian matrix function and its applications ⋮ The common bisymmetric nonnegative definite solutions with extreme ranks and inertias to a pair of matrix equations ⋮ Inertias and ranks of some Hermitian matrix functions with applications ⋮ The generalized bisymmetric (bi-skew-symmetric) solutions of a class of matrix equations and its least squares problem ⋮ Further efficient hyperpower iterative methods for the computation of generalized inverses \(A_{T,S}^{(2)}\)

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