Changing over stopping criterion for stable solving nonsymmetric linear equations by preconditioned conjugate gradient squared method

Changing over stopping criterion for stable solving nonsymmetric linear equations by preconditioned conjugate gradient squared method
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改变预条件共轭梯度平方法稳定求解非对称线性方程组的停止准则

DOI:
10.1016/j.aml.2019.106088
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发表时间:
2020
影响因子:
3.7
通讯作者:
Sugihara Masaaki
Sugihara Masaaki
中科院分区:
数学2区
文献类型:
--
作者:
Itoh Shoji;Sugihara Masaaki

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最近提出了一种改进的预条件共轭梯度平方(PCGS)算法。该算法比传统的PCGS算法更精确、更高效,并且保留了左PCGS算法在解结构方面的优点。在本文中,我们提出了一个改变停止准则的改进的PCGS,结果在更高的精度比传统的和左PCGS。一系列数值结果表明,改进的PCGS的稳定的解决方案的状态和提高的有效性,通过改变停止准则。
An improved preconditioned conjugate gradient squared (PCGS) algorithm has recently been proposed. This algorithm is more accurate and efficient than the conventional PCGS algorithm, and retains the advantages of the left-PCGS in terms of a solution structure. In this paper, we propose a changing over stopping criterion for the improved PCGS, that results in a higher accuracy than the conventional and the left-PCGS. A series of numerical results illustrate the stable solving statuses and the enhanced effectiveness of the improved PCGS with changing over stopping criterion.
线性求解器系统性能评估的质量控制方法
DOI: --
发表时间: 2010
期刊:
影响因子: --
作者:
プトゥラ プラタマ;中尾彰宏;Shoji Itoh
通讯作者: Shoji Itoh
DOI: 10.1016/j.rinam.2019.100008
发表时间: 2019
影响因子: 2
作者:
Itoh Shoji;Sugihara Masaaki
通讯作者: Sugihara Masaaki