Modified BAS iteration method for absolute value equation

Abstract

In this paper, to improve the convergence speed of the block-diagonal and anti-block-diagonal splitting (BAS) iteration method, we design a modified BAS (MBAS) method to obtain the numerical solution of the absolute value equation. Theoretical analysis shows that under certain conditions the MBAS method is convergent. Numerical experiments show that the MBAS method is feasible.

Keywords

• block-diagonal and anti-block-diagonal splitting
• iteration method
• absolute value equation
• convergence