Triple reverse-order law for weighted generalized inverses

DOI10.1016/S0096-3003(00)00122-3zbMath1031.15005MaRDI QIDQ1855122

Wen-Yu Sun, Yi-Min Wei

Publication date: 28 January 2003

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

zbMATH Keywords

Moore-Penrose inversesreverse-order lawweighted generalized inversematrix computation

Mathematics Subject Classification ID

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

Related Items (11)

The reverse order law for the generalized inverse \(A^{(2)}_{T,S}\) ⋮ Hartwig’s triple reverse order law in C*-algebras ⋮ Improvements on the reverse order laws ⋮ Reverse order laws in \(C^{*}\)-algebras ⋮ Further results on weighted core inverse in a ring ⋮ Reverse order laws for {1, 3}-generalized inverses ⋮ Reverse order laws for \(\{1,2,3\}\)-generalized inverses ⋮ Algebraic proof methods for identities of matrices and operators: improvements of Hartwig's triple reverse order law ⋮ Forward order law for the generalized inverses of multiple matrix product ⋮ Multiplicative perturbations of matrices and the generalized triple reverse order law for the Moore-Penrose inverse ⋮ The reverse order laws for {1, 2, 3}- and {1, 2, 4}-inverses of multiple matrix products

Cites Work

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• The reverse order law revisited
• Newton's method and quasi-Newton-SQP method for general \(\text{LC}^1\) constrained optimization
• When is \(B^ -A^ -\) a generalized inverse of \(AB\)?
• The representation and approximation for the weighted Moore-Penrose inverse
• Inverse Order Rule for Weighted Generalized Inverse
• Recurrent neural networks for computing weighted Moore-Penrose inverse

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