On a class of row preconditioners for solving linear systems

Abstract

The purpose of this paper is to give comparison results for a class of row preconditioners. Convergence and monotone properties for the classical iterative methods associated with these preconditioners are analysed. In the final section, numerical results are presented.

Keywords:

• AOR iterative method
• Convergence
• Preconditioner

Acknowledgements

This work was supported by National Natural Science Foundation grants 10371056, P.R. China, Funds for Major Basic Research Projects BK2006725, Jiangsu, and College Natural Science Foundation Grands 05KJB110062, Jiangsu. The author would like to thank the referees for their careful reading of the original manuscript and many valuable comments and corrections.