New Block Triangular Preconditioners for Saddle Point Linear Systems with Highly Singular (1,1) Blocks
Joint Authors
Huang, Ting-Zhu
Li, Liang
Cheng, GuangHui
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-11-02
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We establish two types of block triangular preconditioners applied to the linear saddle point problems with the singular (1,1) block.
These preconditioners are based on the results presented in the paper of Rees and Greif (2007).
We study the spectral characteristics of the preconditioners and show that all eigenvalues of the preconditioned matrices are strongly clustered.
The choice of the parameter is involved.
Furthermore, we give the optimal parameter in practical.
Finally, numerical experiments are also reported for illustrating the efficiency of the presented preconditioners.
American Psychological Association (APA)
Huang, Ting-Zhu& Cheng, GuangHui& Li, Liang. 2009. New Block Triangular Preconditioners for Saddle Point Linear Systems with Highly Singular (1,1) Blocks. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-473927
Modern Language Association (MLA)
Huang, Ting-Zhu…[et al.]. New Block Triangular Preconditioners for Saddle Point Linear Systems with Highly Singular (1,1) Blocks. Mathematical Problems in Engineering No. 2009 (2009), pp.1-13.
https://search.emarefa.net/detail/BIM-473927
American Medical Association (AMA)
Huang, Ting-Zhu& Cheng, GuangHui& Li, Liang. New Block Triangular Preconditioners for Saddle Point Linear Systems with Highly Singular (1,1) Blocks. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-13.
https://search.emarefa.net/detail/BIM-473927
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473927