解非对称鞍点问题的广义交替分裂预处理子的一个注记(A note of generalized shift-splitting preconditioners for nonsymmetric saddle point problems)
Recently, CAO et al introduced a generalized shift-splitting preconditioner for saddle point problems with nonsymmetric positive definite (1, 1)-block. In this paper, we establish a parameterized shift-splitting preconditioner for solving the large sparse augmented systems of linear equations. Furth...
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2017-03-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2017.02.008 |
| _version_ | 1827302989328547840 |
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| author | ZHANGLitao(张理涛) GUTongxiang(谷同祥) MENGHuili(孟慧丽) |
| author_facet | ZHANGLitao(张理涛) GUTongxiang(谷同祥) MENGHuili(孟慧丽) |
| author_sort | ZHANGLitao(张理涛) |
| collection | DOAJ |
| description | Recently, CAO et al introduced a generalized shift-splitting preconditioner for saddle point problems with nonsymmetric positive definite (1, 1)-block. In this paper, we establish a parameterized shift-splitting preconditioner for solving the large sparse augmented systems of linear equations. Furthermore, we obtain some useful properties of the new preconditioned saddle point matrix, which has the intersection with the generalized shift-splitting preconditioner. |
| first_indexed | 2024-04-24T16:54:17Z |
| format | Article |
| id | doaj.art-abeabc9b2678475db226766cc7ba15b7 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:54:17Z |
| publishDate | 2017-03-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-abeabc9b2678475db226766cc7ba15b72024-03-29T01:58:36ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972017-03-0144216817310.3785/j.issn.1008-9497.2017.02.008解非对称鞍点问题的广义交替分裂预处理子的一个注记(A note of generalized shift-splitting preconditioners for nonsymmetric saddle point problems)ZHANGLitao(张理涛)0https://orcid.org/0000-0002-6087-8611GUTongxiang(谷同祥)1MENGHuili(孟慧丽)2https://orcid.org/0000-0002-6476-3678( 1.College of Science, Zhengzhou University of Aeronautics, Zhengzhou 450015, China)( 2.Laboratory of Computationary Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088, China)( 3.College of Computer and Information Engineering, Henan Normal University, Xinxiang 453007, Henan Province, China)Recently, CAO et al introduced a generalized shift-splitting preconditioner for saddle point problems with nonsymmetric positive definite (1, 1)-block. In this paper, we establish a parameterized shift-splitting preconditioner for solving the large sparse augmented systems of linear equations. Furthermore, we obtain some useful properties of the new preconditioned saddle point matrix, which has the intersection with the generalized shift-splitting preconditioner.https://doi.org/10.3785/j.issn.1008-9497.2017.02.008nonsymmetric saddle point problemparameterized shift-splittingconvergencepreconditionereigenvalue |
| spellingShingle | ZHANGLitao(张理涛) GUTongxiang(谷同祥) MENGHuili(孟慧丽) 解非对称鞍点问题的广义交替分裂预处理子的一个注记(A note of generalized shift-splitting preconditioners for nonsymmetric saddle point problems) Zhejiang Daxue xuebao. Lixue ban nonsymmetric saddle point problem parameterized shift-splitting convergence preconditioner eigenvalue |
| title | 解非对称鞍点问题的广义交替分裂预处理子的一个注记(A note of generalized shift-splitting preconditioners for nonsymmetric saddle point problems) |
| title_full | 解非对称鞍点问题的广义交替分裂预处理子的一个注记(A note of generalized shift-splitting preconditioners for nonsymmetric saddle point problems) |
| title_fullStr | 解非对称鞍点问题的广义交替分裂预处理子的一个注记(A note of generalized shift-splitting preconditioners for nonsymmetric saddle point problems) |
| title_full_unstemmed | 解非对称鞍点问题的广义交替分裂预处理子的一个注记(A note of generalized shift-splitting preconditioners for nonsymmetric saddle point problems) |
| title_short | 解非对称鞍点问题的广义交替分裂预处理子的一个注记(A note of generalized shift-splitting preconditioners for nonsymmetric saddle point problems) |
| title_sort | 解非对称鞍点问题的广义交替分裂预处理子的一个注记 a note of generalized shift splitting preconditioners for nonsymmetric saddle point problems |
| topic | nonsymmetric saddle point problem parameterized shift-splitting convergence preconditioner eigenvalue |
| url | https://doi.org/10.3785/j.issn.1008-9497.2017.02.008 |
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