一种用于移位线性系统的具有压缩重启的灵活自适应简化GMRES
数值分析
2021-07-26 v3
摘要
本文提出两种基于简化GMRES(Simpler GMRES)方法的高效迭代算法,用于求解移位线性系统。为充分利用移位结构,所提算法利用压缩重启策略和灵活预处理,可显著减少矩阵-向量乘积数量和CPU耗时。数值实验报告了所提算法的性能和有效性。
引用
@article{arxiv.1707.05588,
title = {A flexible and adaptive Simpler GMRES with deflated restarting for shifted linear systems},
author = {Hong-Xiu Zhong and Xian-Ming Gu},
journal= {arXiv preprint arXiv:1707.05588},
year = {2021}
}
备注
17 pages. 9 Tables, 1 figure; Newly update: add some new numerical results and correct some typos and syntax errors