求解大型Stein方程的块Krylov子空间方法  

BLOCK KRYLOV SUBSPACE METHODS FOR LARGE STEIN EQUATIONS

作　　者：黄飞虎[1] 汪晓虹[1] 

机构地区：[1]南京航空航天大学数学系,南京211106

出　　处：《数值计算与计算机应用》2013年第1期47-58,共12页Journal on Numerical Methods and Computer Applications

摘　　要：本文研究利用块Krylov子空间方法对大型Stein方程降阶求解,分别基于块Arnoldi方法与非对称块Lanczos方法,提出了块Arnoldi Stein方法与非对称块Lanczos Stein方法.数值实验表明提出的方法有效.This paper studies the block Krylov subspace methods for reduced order to solve large Stein equations, and propose the block Arnoldi Stein method and the nonsymmetric block Lanczos Stein method, which axe based on the block Arnoldi method and the nonsymmetric block Lanczos method, respectively. Numerical experiments show the effectiveness of proposed methods.

关 键 词：块Krylov子空间 块Arnoldi 块Lanczos 线性算子 Stein方程 

分 类 号：O241.6[理学—计算数学]