Heavy Ball Restarted CMRH Methods for Linear Systems
Heavy Ball Restarted CMRH Methods for Linear Systems
复制标题
线性系统的重球重启 CMRH 方法
DOI：
10.3390/mca23010010
复制
发表时间：
2018
影响因子：
1.9
通讯作者：
Xuansheng wang
中科院分区：
文献类型：
--
作者：
滕忠铭;Xuansheng wang
基于Hessenberg过程的可重启动CMRH方法（Changing Minimum Residual Method Based on Hessenberg Process）是一种可替代可重启动广义最小残量方法（GMRES）的方法。然而，传统的重新启动CMRH方法，它完全忽略了在以前的周期的历史信息，呈现出收敛速度慢。在本文中，我们提出了一个重球重新开始CMRH方法，以弥补收敛速度慢，将以前的近似到当前的搜索子空间。数值算例说明了重球重启动CMRH方法的有效性。
The restarted CMRH method (changing minimal residual method based on the Hessenberg process) using fewer operations and storage is an alternative method to the restarted generalized minimal residual method (GMRES) method for linear systems. However, the traditional restarted CMRH method, which completely ignores the history information in the previous cycles, presents a slow speed of convergence. In this paper, we propose a heavy ball restarted CMRH method to remedy the slow convergence by bringing the previous approximation into the current search subspace. Numerical examples illustrate the effectiveness of the heavy ball restarted CMRH method.