Abstract Generalized Newton's method is one of the important algorithms for solving absolute value equations. In this paper, we introduce a two-step method to improve the generalized Newton algorithm. The first step of the new method is generalized Newton algorithm and the second step is based on Simpson's 3/8 rule. Under some standard assumptions, the convergence for the new method and its linear convergence are obtained. Numerical results show that the new method is efficient and robust to solve absolute value equations. Mathematics Subject Classification: 65K10, 90C30, 65F10, 65B99.
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Rahpeymaii et al. (2024) studied this question.
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