Optimal parameters in the HSS-like methods for saddle-point problems

@article{Bai2009OptimalPI,
  title={Optimal parameters in the HSS-like methods for saddle-point problems},
  author={Zhong-Zhi Bai},
  journal={Numerical Lin. Alg. with Applic.},
  year={2009},
  volume={16},
  pages={447-479}
}
For the Hermitian and skew-Hermitian splitting iteration method and its accelerated variant for solving the large sparse saddle-point problems, we compute their quasi-optimal iteration parameters and the corresponding quasi-optimal convergence factors for the more practical but more difficult case that the (1,1)-block of the saddle-point matrix is not algebraically equivalent to the identity matrix. In addition, the algebraic behaviors and the clustering properties of the eigenvalues of the… CONTINUE READING

Citations

Publications citing this paper.
Showing 1-10 of 61 extracted citations

References

Publications referenced by this paper.
Showing 1-10 of 47 references

Accelerated Hermitian and skew-Hermitian splitting iteration methods for saddle-point problems

  • Bai Z-Z, G Golub
  • IMA Journal of Numerical Analysis
  • 2007
Highly Influential
8 Excerpts

Spectral analysis for HSS preconditioners. Numerical Mathematics: Theory, Methods and Applications 2008; 1:57–77

  • L Chan, M Ng, N. Tsing
  • Copyright q 2008 John Wiley & Sons, Ltd. Numer…
  • 2009

Spectral analysis for HSS preconditioners

  • L Chan, M Ng, N Tsing
  • Numerical Mathematics : Theory , Methods and…
  • 2008

Convergence properties of preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite matrices

  • Bai Z-Z, G Golub, Li C-K
  • Mathematics of Computation
  • 2007
2 Excerpts

Similar Papers

Loading similar papers…