期刊
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
卷 94, 期 8, 页码 1609-1623出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207160.2016.1226500
关键词
Generalized saddle-point problem; preconditioner; matrix splitting; spectral property; minimal polynomial; 65F08; 65F10; 76D05
资金
- National Natural Science Foundation of China [11401281, 11471150]
- Fundamental Research Fund for the Central Universities [lzujbky-2016-97]
For the generalized saddle-point problems, based on a new block-triangular splitting of the saddle-point matrix, we introduce a relaxed block-triangular splitting preconditioner to accelerate the convergence rate of the Krylov subspace methods. This new preconditioner is easily implemented since it has simple block structure. The spectral property of the preconditioned matrix is analysed. Moreover, the degree of the minimal polynomial of the preconditioned matrix is also discussed. Numerical experiments are reported to show the preconditioning effect of the new preconditioner.
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