On HSS-based constraint preconditioners for generalized saddle-point problems |
| |
Authors: | Guo-Feng Zhang Zhi-Ru Ren Yuan-Yuan Zhou |
| |
Institution: | 1.School of Mathematics and Statistics,Lanzhou University,Lanzhou,People’s Republic of China;2.Institute of Computational Mathematics and Scientific/Engineering Computing,Academy of Mathematics and Systems Science, Chinese Academy of Sciences,Beijing,People’s Republic of China |
| |
Abstract: | For the generalized saddle-point problems with non-Hermitian (1,1) blocks, we present an HSS-based constraint preconditioner,
in which the (1,1) block of the preconditioner is constructed by the HSS method for solving the non-Hermitian positive definite
linear systems. We analyze the invertibility of the HSS-based constraint preconditioner and prove the convergence of the preconditioned
iteration method. Numerical experiments are used to demonstrate the efficiency of the preconditioner as well as the corresponding
preconditioned iteration method, especially when the (1,1) block of the saddle-point matrix is essentially non-Hermitian. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|