On hyperpower family of iterations for computing outer inverses possessing high efficiencies

DOI10.1016/j.laa.2015.07.010zbMath1327.65087OpenAlexW1465411135MaRDI QIDQ491139

F. Khaksar Haghani, Predrag S. Stanimirović, Fazlollah Soleymani

Publication date: 24 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.07.010

zbMATH Keywords

complexityouter inverseefficiency indexhyperpower iteration

Mathematics Subject Classification ID

Related Items (15)

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 ⋮ An improved computationally efficient method for finding the Drazin inverse ⋮ Some matrix iterations for computing generalized inverses and balancing chemical equations ⋮ 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 ⋮ Schultz matrix iteration based method for stable solution of discrete ill-posed problems ⋮ Approximate Schur-block ILU preconditioners for regularized solution of discrete ill-posed problems ⋮ An efficient class of iterative methods for computing generalized outer inverse \({M_{T,S}^{(2)}}\) ⋮ A predictor-corrector iterative method for solving linear least squares problems and perturbation error analysis ⋮ Further efficient hyperpower iterative methods for the computation of generalized inverses \(A_{T,S}^{(2)}\) ⋮ Hyperpower least squares progressive iterative approximation ⋮ Explicit solutions of the singular Yang-Baxter-like matrix equation and their numerical computation

Cites Work

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• A class of numerical algorithms for computing outer inverses
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• On finding robust approximate inverses for large sparse matrices
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• An Iterative Method for Computing the Generalized Inverse of an Arbitrary Matrix
• The Mathematica GuideBook for Numerics
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