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Modified Iteration Algorithm for Solving Absolute Value Equations

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Published in:IAENG International Journal of Applied Mathematics vol. 55, no. 6 (Jun 2025), p. 1620
Main Author: Xu, Ao
Other Authors: Wang, Yage, Sheng, Yuting, Fang, Minglei, Zou, Weifan
Published:
International Association of Engineers
Subjects:
Iterative algorithms
Linear programming
Convergence
Algorithms
Iterative methods
Nonlinear equations
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022 |a 1992-9978 
022 |a 1992-9986 
035 |a 3217769348 
045 2 |b d20250601  |b d20250630 
100 1 |a Xu, Ao  |u Mathematics Department, Anhui University of Science and Technology, Huainan, Anhui 232001 China 
245 1 |a Modified Iteration Algorithm for Solving Absolute Value Equations 
260 |b International Association of Engineers  |c Jun 2025 
513 |a Journal Article 
520 3 |a 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. 
653 |a Iterative algorithms 
653 |a Linear programming 
653 |a Convergence 
653 |a Algorithms 
653 |a Iterative methods 
653 |a Nonlinear equations 
700 1 |a Wang, Yage  |u Mechanics and Photoelectric Physics Department, Anhui University of Science and Technology, Huainan, Anhui 232001 China 
700 1 |a Sheng, Yuting  |u Mathematics Department, Anhui University of Science and Technology, Huainan, Anhui 232001 China 
700 1 |a Fang, Minglei  |u Mathematics Department, Anhui University of Science and Technology, Huainan, Anhui 232001 China 
700 1 |a Zou, Weifan  |u Mathematics Department, Anhui University of Science and Technology, Huainan, Anhui 232001 China 
773 0 |t IAENG International Journal of Applied Mathematics  |g vol. 55, no. 6 (Jun 2025), p. 1620 
786 0 |d ProQuest  |t Computer Science Database 
856 4 1 |3 Citation/Abstract  |u https://www.proquest.com/docview/3217769348/abstract/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch 
856 4 0 |3 Full Text  |u https://www.proquest.com/docview/3217769348/fulltext/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch 
856 4 0 |3 Full Text - PDF  |u https://www.proquest.com/docview/3217769348/fulltextPDF/embedded/7BTGNMKEMPT1V9Z2?source=fedsrch