GMRES方法的收敛率  

THE RATE OF CONVERGENCE OF GMRES

作　　者：钟宝江[1] 

机构地区：[1]南京航空航天大学理学院

出　　处：《高等学校计算数学学报》2003年第3期253-260,共8页Numerical Mathematics A Journal of Chinese Universities

摘　　要：1引言 GMRES方法[1]是目前求解大型稀疏非对称线性方程组This paper studies the rate of convergence of the GMRES method for solving nonsymmetric linear systems. In particular we relate the so-called super-linear convergence behaviour of GMRES to the convergence of Ritz values in an oblique projection process. A bound based on a certain phase of the GMRES iteration process for the continued process is also established, which is a powerful tool to analyze the actual convergence behaviour of GMRES.

关 键 词：GMRES方法 收敛率 非对称线性方程组 RITZ值 斜投影过程 残量 特征值 

分 类 号：O241.6[理学—计算数学]