On continuity of the generalized inverse \(A^{(2)}_{T,S}\)

DOI10.1016/S0096-3003(02)00039-5zbMath1025.15006OpenAlexW2094343066MaRDI QIDQ1856033

Yi-Min Wei, Guo-rong Wang

Publication date: 28 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00039-5

zbMATH Keywords

continuityerror boundgeneralized inversenorm estimates

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (4)

Common properties among various generalized inverses and constrained binary relations ⋮ On convergents infinite products and some generalized inverses of matrix sequences ⋮ Characterizations and representations of the \((P, Q)\)-outer generalized inverse ⋮ Continuity of the core-EP inverse and its applications

Cites Work

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• A note on computing the generalized inverse \(A_{T,S}^{(2)}\) of a matrix \(A\)
• The generalized Bott-Duffin inverse and its applications
• On continuity of the Moore-Penrose and Drazin generalized inverses
• A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
• (T,S) splitting methods for computing the generalized inverse and rectangular systems^∗
• Continuity of The Drazin inverse
• A cramer rule for solution of the general restricted linear equation^∗
• The representation and approximation for Drazin inverse
• On the perturbation and subproper splittings for the generalized inverse \(A_{T,S}^{(2)}\) of rectangular matrix \(A\)

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