Finding generalized inverses by a fast and efficient numerical method

DOI10.1016/j.cam.2014.11.009zbMath1306.65191OpenAlexW1997340084MaRDI QIDQ482683

Yong-Cai Geng, Sumit K. Garg

Publication date: 6 January 2015

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.2014.11.009

zbMATH Keywords

convergenceordernumerical experimentgeneralized inverseshyperpower methodefficiency index

Mathematics Subject Classification ID

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

Related Items (5)

Exploiting higher computational efficiency index for computing outer generalized inverses ⋮ A fast computational algorithm for computing outer pseudo-inverses with numerical experiments ⋮ Some matrix iterations for computing generalized inverses and balancing chemical equations ⋮ On hyperpower family of iterations for computing outer inverses possessing high efficiencies ⋮ Hyperpower least squares progressive iterative approximation

Cites Work

• Full-rank representations of outer inverses based on the QR decomposition
• Chebyshev-type methods and preconditioning techniques
• Representation and approximate for generalized inverse \(A_{T,S}^{(2)}\): revisited
• An accelerated iterative method for computing weighted Moore-Penrose inverse
• Approximating the inverse of a square matrix with application in computation of the Moore-Penrose inverse
• Generalized inverses. Theory and applications.
• A family of iterative methods for computing Moore-Penrose inverse of a matrix
• Higher-order convergent iterative method for computing the generalized inverse over Banach spaces
• A class of numerical algorithms for computing outer inverses
• A high-order iterate method for computing \(A_{T, S}^{(2)}\)
• A note on the stability of a \(p\)th order iteration for finding generalized inverses
• Higher-order convergent iterative method for computing the generalized inverse and its application to Toeplitz matrices
• On finding robust approximate inverses for large sparse matrices
• An Iterative Method for Computing the Generalized Inverse of an Arbitrary Matrix
• The Mathematica GuideBook for Numerics
• A geometrical approach on generalized inverses by Neumann-type series

This page was built for publication: Finding generalized inverses by a fast and efficient numerical method