The computation and perturbation analysis for weighted group inverse of rectangular matrices

DOI10.1007/s12190-008-0189-2zbMath1178.65039OpenAlexW2011077345MaRDI QIDQ1034946

Xingping Sheng, Guo-Liang Chen

Publication date: 9 November 2009

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

Full work available at URL: https://doi.org/10.1007/s12190-008-0189-2

zbMATH Keywords

representationGauss eliminationmatrix equationsrectangular matricesalgebraic perturbationanalytical perturbationweighted group inverse

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24)

Related Items (2)

Characterizations of the group invertibility of a matrix revisited ⋮ On the perturbation of weighted group inverse of rectangular matrices

Cites Work

• A Drazin inverse for rectangular matrices
• Algebraic perturbation methods for the solution of singular linear systems
• Partitioning, tearing and modification of sparse linear systems
• Generalized inverses. Theory and applications.
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