Iterative refinement of computing inverse matrix

DOI10.1080/00207160701753611zbMath1187.65028OpenAlexW2024405098MaRDI QIDQ5190718

Jun Wu, Xin-Yuan Wu

Publication date: 27 July 2009

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160701753611

zbMATH Keywords

convergencenumerical examplesiterative methodmatrix inversionapproximate inverseiterative refinement

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Direct numerical methods for linear systems and matrix inversion (65F05)

Cites Work

• Computational algorithms for computing the inverse of a square matrix, quasi-inverse of a non-square matrix and block matrices
• Parallel matrix inversion on a subcube-grid
• New iterative improvement of a solution for an ill-conditioned system of linear equations based on a linear dynamic system.
• New advantages to obtain accurate matrix inversion
• Different stochastic algorithms to obtain matrix inversion
• Iterative refinement implies numerical stability
• Iterative refinement for linear systems and LAPACK

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