多右端非对称位移方程组的种子投影方法  

SEED PROJECTION METHODS FOR SOLVING UNSYMMETRIC SHIFTED SYSTEMS WITH MULTIPLE RIGHT-HAND SIDES

作　　者：顾桂定[1] 朱文跃[1] 

机构地区：[1]上海大学数学系,上海200436

出　　处：《计算数学》2004年第2期211-224,共14页Mathematica Numerica Sinica

基　　金：国家自然科学基金(10271075);上海教委科技发展基金(02AK41)资助项目.

摘　　要：We consider using seed projection methods for solving unsymmetric shifted systems with multiple right-hand sides (A - σjI)x^(j) = b^(j) for 1 ≤ j ≤ p. The methods use a single Krylov subspace corresponding to a seed system as a generator of approximations to the nonseed systems. The residual evaluates of the methods are given. Finally, numerical results are reported to illustrate the effectiveness of the methods.We consider using seed projection methods for solving unsymmetric shifted systems with multiple right-hand sides (A - σjI)x(j) = b(j) for 1 ≤ j ≤ p. The methods use a single Krylov subspace corresponding to a seed system as a generator of approximations to the nonseed systems. The residual evaluates of the methods are given. Finally, numerical results are reported to illustrate the effectiveness of the methods.

关 键 词：位移方程组 多右端 种子投影 KRYLOV子空间 

分 类 号：O241[理学—计算数学]