迭代求解复对称线性方程组的收敛性分析(英文)  

On Convergence of Splitting Iteration Methods for the Complex Symmetric Linear Systems

作　　者：温瑞萍[1] 任孚鲛[1] 高月琴[1] 

机构地区：[1]太原师范学院数学系,山西太原030012

出　　处：《应用数学》2014年第1期65-72,共8页Mathematica Applicata

基　　金：Supported by the NSF of China(11071184,11371275);the NSF of Shanxi Province(2012011015-6);the STIP of Higher Education Institutions in Shanxi(2013144)

摘　　要：本文提出求解系数矩阵不是埃尔米特但是对称复矩阵的线性方程组的一种分裂迭代法,详细讨论新方法的迭代矩阵的谱半径,最优参数选择,一些范数性质.证明在合理的假设下新方法是收敛的.最后以数值结果验证了新方法的有效性和可行性.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 spectral radius and some norm properties of the iteration matrix for the new method are discussed in detail. Based on these re- suits,the new method is convergent trader reasonable conditions for the complex symmetric linear systems. Finally, the numerical example shows that the new method is feasible and effective.

关 键 词：复对称矩阵 分裂迭代法 收敛性 线性方程组 

分 类 号：O241.6[理学—计算数学]