Computation of {2,4} and {2,3}-inverses based on rank-one updates

DOI10.1080/03081087.2017.1290042zbMath1388.15004OpenAlexW2589108223MaRDI QIDQ4640056

Predrag S. Stanimirović, Dimitrios Pappas, Vasilios N. Katsikis

Publication date: 16 May 2018

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2017.1290042

zbMATH Keywords

generalized inverseMoore-Penrose inverse

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Matrix equations and identities (15A24) Inverse problems in linear algebra (15A29)

Related Items (1)

A survey of gradient methods for solving nonlinear optimization

Cites Work

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• Comments on some recent results concerning \(\{2,3\}\) and \(\{2,4\}\)-generalized inverses
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• Successive matrix squaring algorithm for computing outer inverses
• The representation of generalized inverse \(A_{T,S}^{(2,3)}\) and its applications
• The minimum-norm least-squares solution of a linear system and symmetric rank-one updates
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• Computing generalized inverses using LU factorization of matrix product
• The generalized inverses of perturbed matrices
• Applications of the hyper-power method for computing matrix products
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