应用数学2016，Vol.29Issue(1)：173-182,10.
求解复对称线性方程组的新分裂迭代方法及预处理子
A New Splitting and Preconditioner for Iteratively Solving a Class of Complex Symmetric Linear Systems
摘要
Abstract
A new splitting iteration method is presented for the system of linear equations when the coefficient matrix is a non-Hermitian but symmetric complex matrix.The optimal parameter and the spectral radius properties of the iteration matrix for the new method are discussed in detail.Based on these results,the new method is convergent under reasonable conditions for a class of complex symmetric linear systems.With the results obtained,we show that the new method is convergent for a class of complex symmetric linear system and propose a preconditioner to improve the condition number of the system.Finally,the numerical experiment show the new method to be feasible and effective.关键词
复对称矩阵/分裂迭代法/收敛性/预处理子Key words
Complex symmetric matrix/Splitting iteration method/Convergence/Preconditioner分类
数理科学引用本文复制引用
温瑞萍,李苏丹,任孚鲛..求解复对称线性方程组的新分裂迭代方法及预处理子[J].应用数学,2016,29(1):173-182,10.基金项目
Supported by the National Natural Science Foundation of China (11371275) and the National Natural Science Foundation of Shanxi Province (2014011006-1) （11371275）
