Iterative refinement of solution with biparameter for solving ill-conditioned systems of linear algebraic equations.

DOI10.1016/S0096-3003(01)00141-2zbMath1034.65025MaRDI QIDQ1855784

Guo-he Xue, Rong Shao, Xin-Yuan Wu

Publication date: 28 January 2003

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

zbMATH Keywords

convergencenumerical experimentsiterative refinement algorithmill-conditioned linear systemsTikhonov regularization methoditerative improvementcomparison of method

Mathematics Subject Classification ID

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

Related Items (3)

An effective predictor-corrector process for large scale linear system of equations ⋮ Finding the orthogonal projection of a point onto an affine subspace ⋮ A Krylov subspace generalization of the improved Wilkinson's algorithm for ill-conditioned linear systems

Cites Work

• Symmetric decomposition of a positive definite matrix
• Numerical methods for solving linear least squares problems
• Iterative refinement of the solution of a positive definite system of equations
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