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An accelerated symmetric SOR-like method for augmented systems

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  • Li, Cheng-Liang
  • Ma, Chang-Feng

Abstract

Recently, Njeru and Guo presented an accelerated SOR-like (ASOR) method for solving the large and sparse augmented systems. In this paper, we establish an accelerated symmetric SOR-like (ASSOR) method, which is an extension of the ASOR method. Furthermore, the convergence properties of the ASSOR method for augmented systems are studied under suitable restrictions, and the functional equation between the iteration parameters and the eigenvalues of the relevant iteration matrix is established in detail. Finally, numerical examples show that the ASSOR is an efficient iteration method.

Suggested Citation

  • Li, Cheng-Liang & Ma, Chang-Feng, 2019. "An accelerated symmetric SOR-like method for augmented systems," Applied Mathematics and Computation, Elsevier, vol. 341(C), pages 408-417.
    • Handle: RePEc:eee:apmaco:v:341:y:2019:i:c:p:408-417
    DOI: 10.1016/j.amc.2018.08.003
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    References listed on IDEAS

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    1. Zhang, Guo-Feng & Liao, Li-Dan & Liang, Zhao-Zheng, 2015. "On parameterized generalized skew-Hermitian triangular splitting iteration method for singular and nonsingular saddle point problems," Applied Mathematics and Computation, Elsevier, vol. 254(C), pages 340-359.
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    Cited by:

    1. Chein-Shan Liu & Essam R. El-Zahar & Chih-Wen Chang, 2023. "Dynamical Optimal Values of Parameters in the SSOR, AOR, and SAOR Testing Using Poisson Linear Equations," Mathematics, MDPI, vol. 11(18), pages 1-21, September.

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