A modified block preconditioner for complex nonsymmetric indefinite linear systems

Hong-Tao Fan, Yan-Jun Zhang and Ya-Jing Li

Applied Mathematics and Computation, 2019, vol. 358, issue C, 455-467

Abstract: We propose a modified block splitting preconditioner for a class of complex nonsymmetric indefinite linear systems. By adopting two iteration parameters and a relaxing technique, the new preconditioner is much closer to the original coefficient matrix. Theoretical analysis proves that the preconditioned matrix has an eigenvalue 1 with algebraic multiplicity at least n. A theorem concerning the dimension of the Krylov subspace for the preconditioned matrix is also obtained. Finally, some numerical experiments are presented to illustrate the effectiveness of the preconditioner presented.

Keywords: Complex nonsymmetric linear system; Preconditioning; Relaxing parameters; GMRES (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:358:y:2019:i:c:p:455-467

DOI: 10.1016/j.amc.2019.04.052

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