Interval iterative methods for computing Moore-Penrose inverse

DOI10.1016/j.amc.2006.05.098zbMath1115.65039OpenAlexW2042039906MaRDI QIDQ864808

Xian Zhang, Yi-Min Wei, Jian-Feng Cai

Publication date: 13 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.05.098

zbMATH Keywords

convergencenumerical examplesNewton iterationMoore-Penrose inverseinterval method

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Interval and finite arithmetic (65G30) Iterative numerical methods for linear systems (65F10)

Related Items (10)

Generalized Schultz iterative methods for the computation of outer inverses ⋮ A family of iterative methods for computing the approximate inverse of a square matrix and inner inverse of a non-square matrix ⋮ Enclosing Moore-Penrose inverses ⋮ A family of iterative methods for computing Moore-Penrose inverse of a matrix ⋮ A family of higher-order convergent iterative methods for computing the Moore-Penrose inverse ⋮ A generalization of the Moore-Penrose inverse related to matrix subspaces of \(\mathbb C^{n\times m}\) ⋮ Method of elementary transformation to compute Moore-Penrose inverse ⋮ An interval extension of SMS method for computing weighted Moore-Penrose inverse ⋮ Computing the Moore-Penrose inverse using its error bounds ⋮ A class of Kung-Traub-type iterative algorithms for matrix inversion

Uses Software

• INTLAB

Cites Work

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• On the Convergence of the Higher Order Versions of D. J. Evans' Implicit Matrix Inversion Process
• Preconditioned conjugate gradient method and generalized successive over relaxation method for the weighted least squares problems
• 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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