Successive matrix squaring algorithm for computing the generalized inverse \(A^{(2)}_{T, S}\)

DOI10.1155/2012/262034zbMath1268.65056OpenAlexW2081608588WikidataQ58906501 ScholiaQ58906501MaRDI QIDQ1952807

Xiaoji Liu, Yonghui Qin

Publication date: 3 June 2013

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/262034

zbMATH Keywords

generalized inversematrix squaring algorithms

Mathematics Subject Classification ID

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

Related Items (6)

Generalized Schultz iterative methods for the computation of outer inverses ⋮ Computing the outer and group inverses through elementary row operations ⋮ An efficient method for computing the outer inverse \(A_{T,S}^{(2)}\) through Gauss-Jordan elimination ⋮ Computing outer inverses by scaled matrix iterations ⋮ Conditions for existence, representations, and computation of matrix generalized inverses ⋮ A class of numerical algorithms for computing outer inverses

Cites Work

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• Modified SMS method for computing outer inverses of Toeplitz matrices
• The iterative methods for computing the generalized inverse \(A^{(2)}_{T,S}\) of the bounded linear operator between Banach spaces
• Representation and approximate for generalized inverse \(A_{T,S}^{(2)}\): revisited
• 2-inverses and their statistical application
• Successive matrix squaring algorithm for computing the Drazin inverse
• Generalized inverses. Theory and applications.
• The hyperpower iteration revisited
• Successive matrix squaring algorithm for computing outer inverses
• On the Generalized Drazin Inverse and Generalized Resolvent
• Successive matrix squaring algorithm for parallel computing the weighted generalized inverse \(A^+_{MN}\)

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