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Changing over stopping criterion for stable solving nonsymmetric linear equations by preconditioned conjugate gradient squared method. (English) Zbl 1441.65032
Summary: An improved preconditioned conjugate gradient squared (PCGS) algorithm has recently been proposed. This algorithm is more accurate and efficient than the conventional PCGS algorithm, and retains the advantages of the left-PCGS in terms of a solution structure. In this paper, we propose a changing over stopping criterion for the improved PCGS, that results in a higher accuracy than the conventional and the left-PCGS. A series of numerical results illustrate the stable solving statuses and the enhanced effectiveness of the improved PCGS with changing over stopping criterion.
65F08 Preconditioners for iterative methods
65F10 Iterative numerical methods for linear systems
65F50 Computational methods for sparse matrices
CGS; Lis; SparseMatrix
Full Text: DOI
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