Convergence of P-regular splitting iterative methods for non-Hermitian positive semidefinite linear systems

Abstract

In this paper, we study the convergence of P-regular splitting iterative methods for singular and non-singular non-Hermitian positive semidefinite linear systems, which generalize the known results. Some numerical experiments are performed to illustrate the convergence results.

Keywords:

• non-Hermitian positive semidefinite
• iterative methods
• P-regular splitting
• convergence
• semiconvergence

2000 AMS Subject Classifications::

• 5A09
• 65F10

Acknowledgements

The authors are grateful to the referees and the editor for their very detailed comments and suggestions, which significantly improved this paper. Naimin Zhang is supported by the Zhejiang Provincial Natural Science Foundation of China under Grant No. Y1110451.