非Hermite线性方程组的迭代终止条件  

Iterative Termination Conditions for Non-Hermite Linear Equations

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作  者:廖晓花[1] LIAO Xiao-hua(School of Information Management,Minnan University of Science and Technology,Shishi 362700,China)

机构地区:[1]闽南理工学院信息管理学院,福建石狮362700

出  处:《辽东学院学报(自然科学版)》2021年第4期288-293,共6页Journal of Eastern Liaoning University:Natural Science Edition

摘  要:选取广义CORS方法求解非Hermite线性方程组,确定预处理条件子,利用所获取预处理条件子运行预处理CORS算法实现广义CORS方法的预处理;利用完成预处理的广义CORS方法求解非Hermite线性方程组,使非Hermite线性方程组具有较高的收敛速度,从而实现非Hermite线性方程组的迭代终止。算例分析结果表明,采用该方法求解非Hermite线性方程组具有较高的收敛速度,迭代次数明显降低,具有较好的收敛行为及稳定性。The generalized CORS method was selected to solve the non-Hermite linear equations,and the preconditioner was determined.The preprocessing CORS algorithm was used to realize the preprocessing of the generalized CORS method.The generalized CORS method was used to solve the non-Hermite linear equations,so that the non-Hermite linear equations have a high convergence speed,so as to realize the iterative termination of the non-Hermite linear equations.The analysis results of the example show that the method for solving the non-Hermite linear equations has high convergence rate,significantly reduces the number of iterations,and has good convergence behavior and stability.

关 键 词:非Hermite 线性方程组 迭代 

分 类 号:O246[理学—计算数学]

 

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