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A modified block preconditioner for complex nonsymmetric indefinite linear systems

Author

Listed:
  • Fan, Hong-Tao
  • Zhang, Yan-Jun
  • Li, Ya-Jing

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.

Suggested Citation

  • Fan, Hong-Tao & Zhang, Yan-Jun & Li, Ya-Jing, 2019. "A modified block preconditioner for complex nonsymmetric indefinite linear systems," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 455-467.
    • Handle: RePEc:eee:apmaco:v:358:y:2019:i:c:p:455-467
    DOI: 10.1016/j.amc.2019.04.052
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    References listed on IDEAS

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    1. Fan, Hong-tao & Zhu, Xin-yun, 2015. "A generalized relaxed positive-definite and skew-Hermitian splitting preconditioner for non-Hermitian saddle point problems," Applied Mathematics and Computation, Elsevier, vol. 258(C), pages 36-48.
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