非Hermitian正定线性方程组的外推的HSS迭代方法

非Hermitian正定线性方程组的外推的HSS迭代方法

论文摘要

为了高效地求解大型稀疏非Hermitian正定线性方程组,在白中治、Golub和Ng提出的Hermitian和反Hermitian分裂(HSS)迭代法的基础上,通过引入新的参数并结合迭代法的松弛技术,对HSS迭代方法进行加速,提出了一种新的外推的HSS迭代方法(EHSS),并研究了该方法的收敛性.数值例子表明:通过参数值的选择,新方法比HSS方法具有更快的收敛速度和更少的迭代次数,选择了合适的参数值后,可以提高HSS方法的收敛效率.

论文目录

文章来源

类型: 期刊论文

作者: 潘春平,王红玉,曹文方

关键词: 迭代方法,交替迭代,方法,非矩阵

来源: 计算数学 2019年01期

年度: 2019

分类: 基础科学

专业: 数学

单位: 浙江工业职业技术学院人文社科部

基金: 浙江省教育厅高校访问学者教师专业发展项目资助(FX2017116)

分类号: O241.6

页码: 52-65

总页数: 14

文件大小: 580K

下载量: 73

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非Hermitian正定线性方程组的外推的HSS迭代方法
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