A note on Wilkinson's iterative refinement of solution with automatic step-size control

DOI10.1080/00207160.2010.492424zbMath1220.65046OpenAlexW1983391901MaRDI QIDQ2995509

Xiaoxuan Wu, Xin-Yuan Wu

Publication date: 21 April 2011

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

Full work available at URL: https://doi.org/10.1080/00207160.2010.492424

zbMATH Keywords

automatic step-size control\(LU\) decompositionWilkinson's iterative refinement

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10) Linear ordinary differential equations and systems (34A30) Numerical methods for initial value problems involving ordinary differential equations (65L05) Mesh generation, refinement, and adaptive methods for ordinary differential equations (65L50)

Related Items (1)

An exponential approach to highly ill-conditioned linear systems

Cites Work

• An effective predictor-corrector process for large scale linear system of equations
• Wilkinson's iterative refinement of solution with automatic step-size control for linear system of equations
• Iterative refinement enhances the stability of \(QR\) factorization methods for solving linear equations
• Symmetric decomposition of a positive definite matrix
• Error bounds from extra-precise iterative refinement
• Iterative refinement implies numerical stability
• Iterative refinement for linear systems and LAPACK

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