摘要
提出一种改进的块分裂(IBS)迭代法,用于求解一类由复对称线性系统演化而来的2×2块实值线性系统.对IBS迭代法进行收敛性分析,给出使迭代矩阵谱半径极小化的最优参数选择方法,数值实验结果进一步验证了IBS迭代方法的数值有效性.
An improved block splitting(IBS)iteration method is proposed for solving a class of block two-by-two real linear systems which arises from complex symmetric linear systems.We give the convergence analysis for the IBS iteration method and obtain the optimal iteration parameter which minimizes the spectral radius of the iteration matrix.Numerical results demonstrate the effectiveness of the IBS iteration method.
作者
朱亚楠
ZHU Yanan(College of Mathematics and Physics,Wenzhou University,Wenzhou,China 325035)
出处
《温州大学学报（自然科学版）》
2023年第3期27-36,共10页
Journal of Wenzhou University(Natural Science Edition)
关键词
复对称线性系统
IBS迭代方法
参数
收敛
Complex Symmetric Linear Systems
IBS Iteration Method
Optimal Parameter
Convergence
