带收缩的MINRES种子投影方法  

The MINRES Seed Projection Methods with Deflation

作　　者：朱景福 李欣 林靖杰 ZHU Jingfu;LI Xin;LIN Jingjie(College of Science,Guangdong University of Petrochemical Technology,Maoming 525000,China)

机构地区：[1]广东石油化工学院理学院,广东茂名525000

出　　处：《广东石油化工学院学报》2023年第1期76-79,84,共5页Journal of Guangdong University of Petrochemical Technology

基　　金：广东石油化工学院人才引进启动项目(2018rc44,2018rc45)。

摘　　要：研究实对称线性方程组AX=B的数值解法。种子投影方法是求解线性方程组的一种常见方法,但是当系数矩阵为对称矩阵时,种子投影方法的有效性往往会降低。考虑把收缩技术和种子投影方法相结合,提出求解实对称线性方程组的收缩MINRES种子投影方法,并分析算法的残量。数值实验结果表明新方法是有效的。In this paper,the numerical solution of real symmetric linear system is studied.The seed projection method is a common method,but when the coefficient matrix is a symmetric matrix,the effectiveness of the seed projection method is often reduced.The MINRES seed projection method with deflation for solving real symmetric linear system is proposed,and the residual estimation of the algorithm is analyzed.Results of numerical experiments show the effectiveness of the new method.

关 键 词：实对称线性方程组 收缩技术 MINRES种子投影方法 KRYLOV子空间 

分 类 号：O242.2[理学—计算数学]