非厄米正定线性系统的广义双扫描位移分裂方法

Pub Date : 2022-06-28 DOI:10.3336/gm.57.1.10

Shiliang Wu, Cuixia Li

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引用次数: 0

摘要

本文基于系数矩阵的移位分裂，提出了一种求解非厄米正定线性系统的广义双扫描移位分裂(GTSS)方法。理论分析表明，GTSS方法在迭代参数限制较松的情况下收敛于线性系统的唯一解。数值实验证明了GTSS方法的有效性。

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A generalized two-sweep shift splitting method for non-Hermitian positive definite linear systems

In this paper, based on the shift splitting of the coefficient matrix, a generalized two-sweep shift splitting (GTSS) method is introduced to solve the non-Hermitian positive definite linear systems. Theoretical analysis shows that the GTSS method is convergent to the unique solution of the linear systems under a loose restriction on the iteration parameter. Numerical experiments are reported to the efficiency of the GTSS method.

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