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A modified product preconditioner for indefinite and asymmetric generalized saddle-point matrices

Author

Listed:
  • Tang, Jia
  • Xie, Ya-Jun
  • Ma, Chang-Feng

Abstract

In this paper, we present a new modified product preconditioner (MP) for a class of large sparse linear systems with indefinite and asymmetric matrices. The eigenvalue distribution and form of the eigenvectors of the presented new preconditioned matrix and its minimal polynomial are investigated. Some numerical experiments illustrate that the proposed new preconditioner performs better than block diagonal preconditioner, block triangular preconditioner, constraint preconditioner and product preconditioner.

Suggested Citation

  • Tang, Jia & Xie, Ya-Jun & Ma, Chang-Feng, 2015. "A modified product preconditioner for indefinite and asymmetric generalized saddle-point matrices," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 303-310.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:303-310
    DOI: 10.1016/j.amc.2015.06.032
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    References listed on IDEAS

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    1. Huang, Na & Ma, Chang-Feng & Xie, Ya-Jun, 2015. "An inexact relaxed DPSS preconditioner for saddle point problem," Applied Mathematics and Computation, Elsevier, vol. 265(C), pages 431-447.
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    Cited by:

    1. Huang, Zheng-Ge & Wang, Li-Gong & Xu, Zhong & Cui, Jing-Jing, 2017. "The generalized modified shift-splitting preconditioners for nonsymmetric saddle point problems," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 95-118.

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    1. Huang, Zheng-Ge & Wang, Li-Gong & Xu, Zhong & Cui, Jing-Jing, 2017. "The generalized modified shift-splitting preconditioners for nonsymmetric saddle point problems," Applied Mathematics and Computation, Elsevier, vol. 299(C), pages 95-118.

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