Extended version with the analysis of dynamic system for iterative refinement of solution

DOI10.1080/00207160802247604zbMath1192.65046OpenAlexW2092302183MaRDI QIDQ3568431

Xiong You, Xin-Yuan Wu

Publication date: 11 June 2010

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

Full work available at URL: https://doi.org/10.1080/00207160802247604

zbMATH Keywords

convergencenumerical experimentsiteration methoddynamic systemill-conditioned linear system of algebraic equationsroundoff analysisextended iterative improvement of solutionWilkinson's refinement of solution

Mathematics Subject Classification ID

Ill-posedness and regularization problems in numerical linear algebra (65F22) Iterative numerical methods for linear systems (65F10) Roundoff error (65G50)

Related Items (3)

A new SOR-type iteration method for solving linear systems ⋮ An exponential approach to highly ill-conditioned linear systems ⋮ A new Jacobi-type iteration method for solving M-matrix or nonnegative linear systems

Cites Work

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• An effective predictor-corrector process for large scale linear system of equations
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• Symmetric decomposition of a positive definite matrix
• Solving Ordinary Differential Equations I
• Iterative improvement without double precision in a boundary value problem
• Iterative refinement implies numerical stability
• Iterative refinement for linear systems and LAPACK
• Accuracy and Stability of Numerical Algorithms
• Iterative refinement of linear least squares solutions I

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