A New Preconditioner with Two Variable Relaxation Parameters for Saddle Point Linear Systems with Highly Singular(1,1) Blocks
Yuping Zeng, Chenliang Li
DOI: 10.4236/ajcm.2011.14030   PDF    HTML     4,918 Downloads   8,614 Views   Citations


In this paper, we provide new preconditioner for saddle point linear systems with (1,1) blocks that have a high nullity. The preconditioner is block triangular diagonal with two variable relaxation paremeters and it is extension of results in [1] and [2]. Theoretical analysis shows that all eigenvalues of preconditioned matrix is strongly clustered. Finally, numerical tests confirm our analysis.

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Zeng, Y. and Li, C. (2011) A New Preconditioner with Two Variable Relaxation Parameters for Saddle Point Linear Systems with Highly Singular(1,1) Blocks. American Journal of Computational Mathematics, 1, 252-255. doi: 10.4236/ajcm.2011.14030.

Conflicts of Interest

The authors declare no conflicts of interest.


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