Hyper-power methods for the computation of outer inverses

DOI10.1016/j.cam.2014.09.024zbMath1304.65135OpenAlexW2035381949MaRDI QIDQ475650

Marko D. Petković, Miodrag S. Petković

Publication date: 27 November 2014

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

Full work available at URL: https://doi.org/10.1016/j.cam.2014.09.024

zbMATH Keywords

convergencenumerical resultsHorner schemeDrazin inverseiterative methodsMoore-Penrose inverseouter inversehyper-power methodsSchultz' method

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (14)

Exploiting higher computational efficiency index for computing outer generalized inverses ⋮ A two-step iterative method and its acceleration for outer inverses ⋮ An efficient matrix iteration family for finding the generalized outer inverse ⋮ A fast computational algorithm for computing outer pseudo-inverses with numerical experiments ⋮ Existence and Representations of Solutions to Some Constrained Systems of Matrix Equations ⋮ Computing outer inverses by scaled matrix iterations ⋮ GIBS: a general and efficient iterative method for computing the approximate inverse and Moore–Penrose inverse of sparse matrices based on the Schultz iterative method with applications ⋮ Accurate computation of the Moore-Penrose inverse of strictly totally positive matrices ⋮ On hyperpower family of iterations for computing outer inverses possessing high efficiencies ⋮ An efficient computation of generalized inverse of a matrix ⋮ Factorizations of hyperpower family of iterative methods via least squares approach ⋮ Rapid generalized Schultz iterative methods for the computation of outer inverses ⋮ Further efficient hyperpower iterative methods for the computation of generalized inverses \(A_{T,S}^{(2)}\) ⋮ Hyperpower least squares progressive iterative approximation

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Two improvements of the iterative method for computing Moore-Penrose inverse based on Penrose equations
• A family of higher-order convergent iterative methods for computing the Moore-Penrose inverse
• An improved method for the computation of the Moore-Penrose inverse matrix
• Generalised matrix inversion and rank computation by successive matrix powering
• Successive matrix squaring algorithm for computing the Drazin inverse
• Generalized inverses. Theory and applications.
• Gauss-Jordan elimination method for computing outer inverses
• Generalized Schultz iterative methods for the computation of outer inverses
• Full-rank representation of generalized inverse \(A_{T,S}^{(2)}\) and its application
• Successive matrix squaring algorithm for computing outer inverses
• Higher-order convergent iterative method for computing the generalized inverse and its application to Toeplitz matrices

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