Successive matrix squaring algorithm for computing outer inverses
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Publication:2518685
DOI10.1016/j.amc.2008.04.037zbMath1158.65028OpenAlexW2013066794MaRDI QIDQ2518685
Predrag S. Stanimirović, Dragana S. Cvetković-Ilić
Publication date: 16 January 2009
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2008.04.037
numerical examplessuccessive matrix squaring algorithmgeneralized inversematrix rankouter inversefull rank factorizationprescribed range and null space
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Uses Software
Cites Work
- The representation and approximations of outer generalized inverses
- Block representations of \(\{2\}\), \(\{1,2\}\) inverses and the Drazin inverse of matrices
- Generalised matrix inversion and rank computation by successive matrix powering
- Full-rank and determinantal representation of the Drazin inverse
- Successive matrix squaring algorithm for computing the Drazin inverse
- A characterization and representation of the generalized inverse \(A_{T,S}^{(2)}\) and its applications
- The representation and approximation for the generalized inverse \(A^{(2)}_{T,S}\)
- Generalized inverses. Theory and applications.
- Applications of the hyper-power method for computing matrix products
- Adjoint Mappings and Inverses of Matrices
- The representation and approximation for Drazin inverse
- Successive matrix squaring algorithm for parallel computing the weighted generalized inverse \(A^+_{MN}\)
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