求解带位移反对称矩阵方程的有效数值方法（英文）  

EFFICIENT ALGORITHMS FOR SOLVING SHIFTED SKEW-SYMMETRIC MATRIX EQUATIONS

作　　者：李东平[1] 张秀英[2] 

机构地区：[1]长春师范大学数学学院,长春130032 [2]吉林大学数学系,长春130012

出　　处：《高等学校计算数学学报》2015年第1期81-96,共16页Numerical Mathematics A Journal of Chinese Universities

基　　金：长春师范大学自然科学基金资助项目;吉林省自然科学基金资助项目(201115164)

摘　　要：In this paper,two CG-type algorithms for solving shifted skewsymmetric matrix equations are derived.The new methods are extracted from the modified global Lanczos algorithm presented in the paper.Numerical experiments illustrate the convergence properties and the effectiveness of the proposed algorithms.In this paper, two CG-type algorithms for solving shifted skew- symmetric matrix equations are derived. The new methods are extracted from the modified global Lanczos algorithm presented in the paper. Numerical exper- iments illustrate the convergence properties and the effectiveness of the proposed algorithms.

关 键 词：CG-type Krylov subspace global Arnoldi algorithm shifted skewsymmetric matrix 

分 类 号：O241.6[理学—计算数学]