多右端项对称线性方程组的Lanczos种子投影方法  

Lanczos Seed Projection Methods for Solving Symmetric Shifted System with Multiple Right-hand Sides

作　　者：田宏[1] 马文静 王苫社[1] 于辉[1] 邓廷勇[1] 

机构地区：[1]黑龙江八一农垦大学理学院,大庆163319 [2]烟台第五中学

出　　处：《黑龙江八一农垦大学学报》2015年第4期110-112,共3页journal of heilongjiang bayi agricultural university

基　　金：黑龙江省教育厅2012年科学技术研究(面上)项目(12521374)

摘　　要：求解多右端项位移线性方程组的迭代方法中,GMRES种子投影方法是一个有效方法,但是当系数矩阵为对称矩阵时,该方法的有效性往往会降低。为解决这一问题,提出求解对称多右端项位移方程组的Lanczos种子投影方法,分析算法的残量性质并做了数值实验。数值实验结果表明,新算法对求解对称多右端项位移方程组是有效的。Seed projection methods for solving multiple right-hand sides system was studied in this paper. Generally,GMRES seed projection method was one effectual method for solving multiple right-hand sides system,but when the coefficient matrix was symmetric,effects of the method would be worse. Lanczos seed projection methods for solving symmetric system with multiple right-hand sides were proposed in this paper,and the residual estimation were analyzed. The numerical results showed the method was the effective.

关 键 词：多右端项位移方程组 KRYLOV子空间 Lanczos种子投影方法 

分 类 号：O241.6[理学—计算数学]