On semi-convergence of modified HSS iteration methods
On semi-convergence of modified HSS iteration methods
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DOI：
10.1007/s11075-012-9676-5
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发表时间：
2013-11
影响因子：
2.1
通讯作者：
Fang Chen;Qing-Quan Liu
中科院分区：
文献类型：
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作者：
Fang Chen;Qing-Quan Liu
讨论了求解一类复对称奇异线性方程组的修正Hermitian和斜Hermitian分裂（MHSS）迭代法的半收敛性。建立了MHSS迭代法的半收敛理论。此外，数值算例表明了MHSS迭代法作为求解器或预处理器（用于重新启动的GMRES方法）的有效性。
We discuss semi-convergence of the modified Hermitian and skew-Hermitian splitting (MHSS) iteration method for solving a broad class of complex symmetric singular linear systems. The semi-convergence theory of the MHSS iteration method is established. In addition, numerical examples show the effectiveness of the MHSS iteration method when it is used as a solver or as a preconditioner (for the restarted GMRES method).