Generalized shift-splitting iteration method for a class of two-by-two linear systems |
| |
| Authors: | Min-Li Zeng Guo-Feng Zhang |
| |
| Institution: | 1.School of Mathematics and Statistics,Lanzhou University,Lanzhou,People’s Republic of China;2.College of Mathematics,Putian University,Putian,People’s Republic of China |
| |
| Abstract: | In this paper, we propose a generalized-shift splitting (GSS) iteration method for solving a broad class of two-by-two linear systems. The convergence theory of the GSS iteration method is established and the spectral properties of the corresponding preconditioned matrix of some special choices for the parameter matrices are analyzed. In addition, the optimal choice of the iterative parameter is discussed. Numerical experiments are used to verify the validity of the theoretical results and the effectiveness of the new method. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
