On the computation of weighted Moore-Penrose inverse using a high-order matrix method

DOI10.1016/j.camwa.2013.09.007zbMath1350.65033OpenAlexW2128654942MaRDI QIDQ316397

Ali R. Soheili, Marko D. Petković, Fazlollah Soleymani

Publication date: 27 September 2016

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2013.09.007

zbMATH Keywords

numerical exampleweighted Moore-Penrose inverseinitial valuematrix methodweighted singular value decomposition

Mathematics Subject Classification ID

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

Related Items (8)

Generalized Schultz iterative methods for the computation of outer inverses ⋮ On the extension of Householder's method for weighted Moore-Penrose inverse ⋮ An interval extension of SMS method for computing weighted Moore-Penrose inverse ⋮ Rapid generalized Schultz iterative methods for the computation of outer inverses ⋮ Numerical solution of nonlinear systems by a general class of iterative methods with application to nonlinear PDEs ⋮ Further efficient hyperpower iterative methods for the computation of generalized inverses \(A_{T,S}^{(2)}\) ⋮ Error bounds in the computation of outer inverses with generalized schultz iterative methods and its use in computing of Moore-Penrose inverse ⋮ Constructing two-step iterative methods with and without memory

Cites Work

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• Generalized inverses. Theory and applications.
• The representation and approximation for the weighted Minkowski inverse in Minkowski space
• An improved Newton iteration for the weighted Moore-Penrose inverse
• Analogs of the adjoint matrix for generalized inverses and corresponding Cramer rules
• Generalizing the Singular Value Decomposition
• Inversion of Displacement Operators
• An Iterative Method for Computing the Generalized Inverse of an Arbitrary Matrix
• A Note on an Iterative Method for Generalized Inversion of Matrices
• The least squares problem and pseudo-inverses
• On the Numerical Properties of an Iterative Method for Computing the Moore–Penrose Generalized Inverse
• Recurrent neural networks for computing weighted Moore-Penrose inverse
• Successive matrix squaring algorithm for parallel computing the weighted generalized inverse \(A^+_{MN}\)
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