Modified Iteration Algorithm for Solving Absolute Value Equations.

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Bibliographic Details
Title: Modified Iteration Algorithm for Solving Absolute Value Equations.
Authors: Ao Xu1 wyglw@aust.edu.cn, Yage Wang2 wyglw@aust.edu.cn, Yuting Sheng2 805015354@qq.com, Minglei Fang3 fmlmath@aust.edu.cn, Weifan Zou2 2138819408@qq.com
Source: IAENG International Journal of Applied Mathematics. Jun2025, Vol. 55 Issue 6, p1620-1624. 5p.
Subjects: Absolute value, Nonlinear equations, Equations, Algorithms
Abstract: A new iterative algorithm has been proposed in this study for the efficient solution of the absolute value equation (AVE). Through an equivalent transformation, the AVE has been restructured into a two-by-two block nonlinear equation, which led to the development of our new iteration method. The convergence characteristics and optimal parameters of this approach have been analyzed, and new convergence conditions, differing from previous findings, have been introduced. Numerical experiments have demonstrated that the proposed strategy is both feasible and effective. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:A new iterative algorithm has been proposed in this study for the efficient solution of the absolute value equation (AVE). Through an equivalent transformation, the AVE has been restructured into a two-by-two block nonlinear equation, which led to the development of our new iteration method. The convergence characteristics and optimal parameters of this approach have been analyzed, and new convergence conditions, differing from previous findings, have been introduced. Numerical experiments have demonstrated that the proposed strategy is both feasible and effective. [ABSTRACT FROM AUTHOR]
ISSN:19929978