The generalized inverses of perturbed matrices

DOI10.1080/00207169208804042zbMath0752.65034OpenAlexW2070143861MaRDI QIDQ3989782

Xu-Zhou Chen

Publication date: 28 June 1992

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169208804042

zbMATH Keywords

numerical examplesDrazin inverseperturbation methodsgeneralized inversesMoore-Penrose inverseproper splittingperturbed matrixSherman-Morrison- Woodbury formula

Mathematics Subject Classification ID

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

Related Items (6)

A divide-and-conquer approach for the computation of the Moore-Penrose inverses ⋮ Computing \(\{2,4\}\) and \(\{2,3\}\)-inverses by using the Sherman-Morrison formula ⋮ Computation of {2,4} and {2,3}-inverses based on rank-one updates ⋮ A generalization of the Sherman-Morrison-Woodbury formula ⋮ Representations of generalized inverses of partitioned matrix involving Schur complement ⋮ Computing the pseudoinverse of specific Toeplitz matrices using rank-one updates

Cites Work

• Inverse of a perturbed matrix

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