The weighted generalized inverses of a partitioned matrix

DOI10.1016/S0096-3003(03)00772-0zbMath1089.15006OpenAlexW2064984508MaRDI QIDQ1883162

Bing Zheng, Guo-rong Wang

Publication date: 1 October 2004

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00772-0

zbMATH Keywords

Moore-Penrose inversePartitioned matricesRecursive schemeUnified formWeighted generalized inverses

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items (4)

An efficient hyperpower iterative method for computing weighted Moore-Penrose inverse ⋮ The weighted Moore-Penrose generalized inverse and the force analysis of overconstrained parallel mechanisms ⋮ Representations for weighted Moore-Penrose inverses of partitioned adjointable operators ⋮ Representations of the Moore–Penrose inverse for a class of 2-by-2 block operator valued partial matrices

Cites Work

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• General forms for the recursive determination of generalized inverses: Unified approach
• Associative memory approach to the identification of structural and mechanical systems
• Expression for the perturbation of the weighted Moore-Penrose inverse
• A new perspective on constrained motion
• Inverse Order Rule for Weighted Generalized Inverse
• Erratum: Generalized Inverse of a Matrix Product
• Some Applications of the Pseudoinverse of a Matrix
• Iterative refinement of linear least squares solutions II
• Recurrent neural networks for computing weighted Moore-Penrose inverse
• Successive matrix squaring algorithm for parallel computing the weighted generalized inverse \(A^+_{MN}\)

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