Spectral Analysis for HSS Preconditioners  

作　　者：Lung Chak Chan Michael K. Ng Nam Kiu Tsing 

机构地区：[1]Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong [2]Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2008年第1期57-77,共21页高等学校计算数学学报（英文版）

摘　　要：In this paper,we are interested in HSS preconditioners for saddle point lin- ear systems with a nonzero(2,2)-th block.We study an approximation of the spectra of HSS preconditioned matrices and use these results to illustrate and explain the spectra obtained from numerical examples,where the previous spectral analysis of HSS precon- ditioned matrices does not cover.In this paper, we are interested in HSS preconditioners for saddle point linear systems with a nonzero （2, 2）-th block. We study an approximation of the spectra of HSS preconditioned matrices and use these results to illustrate and explain the spectra obtained from numerical examples, where the previous spectral analysis of HSS preconditioned matrices does not cover.

关 键 词：Saddle point problems iterative methods PRECONDITIONING EIGENVALUES 

分 类 号：O242[理学—计算数学]