An iterative method based on Simpson's ۳/۸ rule to solve absolute value equations

Newton's method is one of the important algorithms for solving absolute value equations. In this paper, we introduce an efficient two-step iterative method to improve the Newton algorithm. The new method adopts the predictor-corrector technique in which the first step is generalized Newton method and the second step is based on Simpson's ۳/۸ rule.Under some standard assumptions, the convergence of new method and its linear convergence rate are obtained. Numerical results show that the our method is efficient and robust to solve absolute value equations.

کلیدواژه ها:

Absolute value equation ، iteration scheme ، Simpson rule ، convergence Analysis