摘要
本文对改良的Hermitian和反Hermitian分裂迭代方法 (MHSS)使用了外推技术,构造了外推的MHSS(EMHSS)迭代法.从理论上给出了EMHSS迭代方法的迭代矩阵与MHSS迭代方法的迭代矩阵之间的关系,并讨论了EMHSS迭代方法的收敛条件.最后用数值实验验证了所提方法的有效性.
In this paper,we use the extrapolation technique for the modified Hermitian and skew-Hermitian(MHSS)splitting iterative method,and construct the extrapolated MHSS(EMHSS)iterative method.In theory,We give the relationship between the iterative matrices of the MHSS and EMHSS iterative methods,and discuss the convergence conditions of the EMHSS iterative method.Finally,the effectiveness of the proposed method is verified by numerical experiments.
作者
李贝贝
崔静静
黄政阁
谢晓凤
LI Beibei;CUI Jingjing;HUANG Zhengge;XIE Xiaofeng(Faculty of Mathematics and Physics,Guangxi Minzu University,Nanning 530006,China)
出处
《纯粹数学与应用数学》
2023年第4期617-630,共14页
Pure and Applied Mathematics
基金
国家自然科学基金(12361078)
广西自然科学基金(2021JJB110006)
广西科技基地和人才专项基金(2021AC19147)
广西民族大学研究生创新计划(gxun-chxs 2021056)。
