摘要
针对求解一类广义复对称线性系统,Salkuyeh等学者利用等价2×2块实值形式提出了一种广义SOR(GSOR)迭代法.为了进一步提高计算效率,本文建立一种含有两个参数的广义AOR(GAOR)迭代法.详细分析了该方法的收敛性,得到一个范围更广的收敛域.最后,通过两个数值算例验证了GAOR迭代法的可行性与高效性.
For solving a broad class of complex symmetric linear systems,Salkuyeh et al.proposed the generalized SOR(GSOR)iteration method by using the equivalent block two-by-two real value forms.In order to further improve the computational efficiency,a generalized AOR(GAOR)iteration method with two parameters is established in this paper.The convergence properties of the method are analyzed in detail and a wider convergence domain is obtained.The feasibility and efficiency of the GAOR iteration method are verified by two numerical examples.
作者
李旭
李瑞丰
Li Xu;Li Ruifeng(Department of Applied Mathematics,Lanzhou University of Technology,Lanzhou 730050,China)
出处
《数值计算与计算机应用》
2022年第3期295-306,共12页
Journal on Numerical Methods and Computer Applications
基金
国家自然科学基金(11501272)
甘肃省自然科学基金(20JR5RA464)资助。
关键词
复对称线性系统
GAOR迭代法
收敛性分析
特征值
complex symmetric linear systems
GAOR iterative method
convergence analysis
eigenvalues
