On preconditioned AOR method for solving linear systems
Numerical Analysis
2020-02-04 v1 Numerical Analysis
Abstract
In this paper, we investigate the preconditioned AOR method for solving linear systems. We study two general preconditioners and propose some lower triangular, upper triangular and combination preconditioners. For being an L-matrix, a nonsingular M-matrix, an irreducible L-matrix and an irreducible nonsingular M-matrix, four types of comparison theorems are presented, respectively. They contain a general comparison result, a strict comparison result and two Stein-Rosenberg type comparison results. Our theorems include and are better than almost all known corresponding results.
Cite
@article{arxiv.2002.00690,
title = {On preconditioned AOR method for solving linear systems},
author = {Yongzhong Song},
journal= {arXiv preprint arXiv:2002.00690},
year = {2020}
}