Full-rank representations of \(\{2, 4\}, \{2, 3\}\)-inverses and successive matrix squaring algorithm

DOI10.1016/j.amc.2011.04.024zbMath1217.65068OpenAlexW1972949602MaRDI QIDQ548015

Predrag S. Stanimirović, Sladjana Miljković, Dragana S. Cvetković-Ilić, Marko B. Miladinović

Publication date: 27 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.amc.2011.04.024

zbMATH Keywords

full-rank representation\(\{2, 4\}\)-inversesgeneralized inverse \(\{2, 3\}\)-inversesSMS algorithm

Mathematics Subject Classification ID

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

Related Items

Neural network approach to computing outer inverses based on the full rank representation, A new representation for \(A_{T, S}^{(2, 3)}\), Outer inverse restricted by a linear system, Representations and computations of \(\{2, 3^\sim \}\) and \(\{2, 4^\sim \}\)-inverses in indefinite inner product spaces, Representations and geometrical properties of generalized inverses over fields, Existence and Representations of Solutions to Some Constrained Systems of Matrix Equations, Full-rank representations of outer inverses based on the QR decomposition, Conditions for existence, representations, and computation of matrix generalized 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 class of numerical algorithms for computing outer inverses, Different characterizations of DMP-inverse of matrices, On the mixed-type generalized inverses of the products of two operators, On the uniform boundedness and convergence of generalized, Moore-Penrose and group inverses

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