Smoothing the absolute value equations by the component-wise analysis

Document Type : Research Article

Author

Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran

Abstract

In this study, an efficient smooth function is introduced to determine the solutions of Absolute Value Equations (AVEs) using a two-step extension of Traub's method. Additionally, a novel approach is proposed for solving AVEs in a component-wise manner. Cubic convergence is achieved under mild assumptions. The results demonstrate that the proposed method is highly effective, as validated by numerical examples.

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Main Subjects

Journal of Mathematical Modeling

Articles in Press, Corrected Proof
Available Online from 12 December 2024

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