一类复对称线性系统的不平衡CRI迭代方法
Lopsided CRI Iteration Method for a Class of Complex Symmetric Linear Systems
摘要: 基于实部与虚部组合(CRI)迭代方法，提出了一种不平衡CRI (LCRI)迭代方法，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，并给出了拟最优参数的表达式，数值上进一步验证了新方法的高效性。
Abstract: 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.
文章引用：罗漪清. 一类复对称线性系统的不平衡CRI迭代方法[J]. 应用数学进展, 2025, 14(3): 357-363. https://doi.org/10.12677/aam.2025.143123

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