A Preconditioned AOR Iterative Method for the Absolute Value Equations

作者：Li, Cui-Xia^*

来源：International Journal of Computational Methods, 2017, 14(2): 1750016.

DOI：10.1142/S0219876217500165

• Absolute value equation
• preconditioner
• AOR method
• convergence
• L-matrix

In this paper, coupled with preconditioning technique, a preconditioned accelerated over relaxation (PAOR) iterative method for solving the absolute value equations (AVEs) is presented. Some comparison theorems are given when the matrix of the linear term is an irreducible L-matrix. Comparison results show that the convergence rate of the PAOR iterative method is better than that of the accelerated over relaxation (AOR) iterative method whenever both are convergent. Numerical experiments are provided in order to confirm the theoretical results studied in this paper.

• 出版日期2017-3
• 单位安阳师范学院