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Modified Iteration Algorithm for Solving Absolute Value Equations

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Publicat a:IAENG International Journal of Applied Mathematics vol. 55, no. 6 (Jun 2025), p. 1620
Autor principal: Xu, Ao
Altres autors: Wang, Yage, Sheng, Yuting, Fang, Minglei, Zou, Weifan
Publicat:
International Association of Engineers
Matèries:
Iterative algorithms
Linear programming
Convergence
Algorithms
Iterative methods
Nonlinear equations
Accés en línia:Citation/Abstract
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Resum: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.
ISSN:1992-9978
1992-9986
Font:Computer Science Database