求解奇异线性系统的右预处理MINRES方法  

Right Preconditioned MINRES Method for Solving Singular Linear Systems

作　　者：洪琳依 HONG Linyi(College of Mathematics and Physics,Wenzhou University,Wenzhou,China 325035)

机构地区：[1]温州大学数理学院,浙江温州325035

出　　处：《温州大学学报（自然科学版）》2022年第2期9-18,共10页Journal of Wenzhou University(Natural Science Edition)

摘　　要：通过将预处理子由非奇异情形推广为奇异情形,证明了奇异预处理MINRES方法的收敛性,改进了Sugihara等人用右预处理MINRES方法求解奇异线性系统的结果.数值实验表明,奇异预处理子优于通常的HSS等非奇异预处理子.In this paper, the preconditioner is extended to singular case, and the convergence of the singular preconditioned MINRES method is proved, thus improving the right preconditioned MINRES method discussed by Sugihara et al. for solving singular linear systems. Numerical experiments show that the singular preconditioner is superior to the usual nonsingular preconditioner such as HSS.

关 键 词：奇异线性系统 恰当分裂 奇异右预处理子 MINRES 

分 类 号：O241[理学—计算数学]