English

Semi-convergence of the EPSS method for singular generalized saddle point problems

Numerical Analysis 2021-09-13 v1 Numerical Analysis

Abstract

Recently, in (M. Masoudi, D.K. Salkuyeh, An extension of positive-definite and skew-Hermitian splitting method for preconditioning of generalized saddle point problems, Computers \& Mathematics with Application, https://doi.org/10.1016/j.camwa.2019.10.030, 2019) an extension of the positive definite and skew-Hermitian splitting (EPSS) iteration method for nonsingular generalized saddle point problems has been presented. In this article, we study semi-convergence of the EPSS method for singular generalized saddle problems. Then a special case of EPSS (SEPSS) preconditioner is applied to the nonsingular generalized saddle point problems. Some numerical results are presented to show the effectiveness of the preconditioner.

Keywords

Cite

@article{arxiv.1911.10757,
  title  = {Semi-convergence of the EPSS method for singular generalized saddle point problems},
  author = {Mohsen Masoudi and Davod Khojasteh Salkuyeh},
  journal= {arXiv preprint arXiv:1911.10757},
  year   = {2021}
}

Comments

14 pages, International Journal of Computer Mathematics, 2021

R2 v1 2026-06-23T12:25:59.898Z