A New Preconditioner with Two Variable Relaxation Parameters for Saddle Point Linear Systems with Highly Singular(1,1) Blocks

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DOI: 10.4236/ajcm.2011.14030   PDF   HTML     4,594 Downloads   8,034 Views   Citations

Abstract

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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Y. Zeng and C. Li, "A New Preconditioner with Two Variable Relaxation Parameters for Saddle Point Linear Systems with Highly Singular(1,1) Blocks," American Journal of Computational Mathematics, Vol. 1 No. 4, 2011, pp. 252-255. doi: 10.4236/ajcm.2011.14030.

Conflicts of Interest

The authors declare no conflicts of interest.

References

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