Wilkinson's iterative refinement of solution with automatic step-size control for linear system of equations

DOI10.1016/j.amc.2007.04.007zbMath1193.65033OpenAlexW1991655981MaRDI QIDQ990629

Xin-Yuan Wu, Yong Lei Fang

Publication date: 1 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.04.007

zbMATH Keywords

automatic step-size controlill-conditioned linear system of algebraic equationsWilkinson's iterative refinement of solution

Mathematics Subject Classification ID

Iterative numerical methods for linear systems (65F10)

Related Items (4)

A new iterative refinement with roundoff error analysis ⋮ A note on Wilkinson's iterative refinement of solution with automatic step-size control ⋮ A new iterative refinement for ill-conditioned linear systems based on discrete gradient ⋮ Improving the accuracy of the charge simulation method for numerical conformal mapping

Cites Work

• An effective predictor-corrector process for large scale linear system of equations
• Iterative refinement enhances the stability of \(QR\) factorization methods for solving linear equations
• New iterative improvement of a solution for an ill-conditioned system of linear equations based on a linear dynamic system.
• Symmetric decomposition of a positive definite matrix
• Iterative refinement of the solution of a positive definite system of equations
• Solving Ordinary Differential Equations I
• Iterative Refinement Implies Numerical Stability for Gaussian Elimination
• Iterative refinement implies numerical stability
• Iterative refinement for linear systems and LAPACK
• Unnamed Item

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