%0 Journal Article
%T 一类复对称线性系统的不平衡CRI迭代方法<br>Lopsided CRI Iteration Method for a Class of Complex Symmetric Linear Systems
%A 罗漪清
%J Advances in Applied Mathematics
%P 357-363
%@ 2324-8009
%D 2025
%I Hans Publishing
%R 10.12677/aam.2025.143123
%X 基于实部与虚部组合(CRI)迭代方法&#65292;提出了一种不平衡CRI (LCRI)迭代方法&#65292;用于求解复对称半正定线性系统。理论上利用谱理论分析了LCRI方法的收敛性&#65292;并给出了拟最优参数的表达式&#65292;数值上进一步验证了新方法的高效性。<br>Based on the combination of real and imaginary parts (CRI) iteration method, a lopsided CRI (LCRI) iteration method is proposed for solving complex symmetric positive semi-definite linear systems. By using the spectral theory, we not only analyze the convergence property of the LCRI method, but also obtain the quasi-optimal parameter expression. The efficiency of the new method is further verified numerically.
%K 复对称矩阵&#65292
%K CRI迭代方法&#65292
%K 不平衡分裂迭代&#65292
%K 收敛性分析&#65292
%K 拟最优参数<br>Complex Symmetric Matrix
%K CRI Iteration Method
%K Lopsided Splitting Iteration
%K Convergence Analysis
%K Quasi-Optimal Parameter
%U http://www.hanspub.org/journal/PaperInformation.aspx?PaperID=110051