An improved Newton iteration for the weighted Moore-Penrose inverse

DOI10.1016/j.amc.2005.05.050zbMath1094.65032OpenAlexW2021695995MaRDI QIDQ2489382

Xian Zhang, Feng Huang

Publication date: 16 May 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.05.050

zbMATH Keywords

algorithmsconvergence accelerationnumerical experimentsNewton iterationweighted Moore-Penrose inverseweighted singular value decomposition

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20)

Related Items (9)

Exploiting higher computational efficiency index for computing outer generalized inverses ⋮ On the computation of weighted Moore-Penrose inverse using a high-order matrix method ⋮ On the extension of Householder's method for weighted Moore-Penrose inverse ⋮ A fast computational algorithm for computing outer pseudo-inverses with numerical experiments ⋮ From Zhang neural network to scaled hyperpower iterations ⋮ On convergents infinite products and some generalized inverses of matrix sequences ⋮ A Novel Iterative Method for Computing Generalized Inverse ⋮ An efficient matrix iteration for computing weighted Moore-Penrose inverse ⋮ Discrete-time noise-tolerant Zhang neural network for dynamic matrix pseudoinversion

Cites Work

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• Successive matrix squaring algorithm for parallel computing the weighted generalized inverse \(A^+_{MN}\)
• Representations for Moore-Penrose inverses in Hilbert spaces

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