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AIMS Mathematics

2024, Volume 9, Issue 8: 22565-22577. doi: 10.3934/math.20241098
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The development of new efficient iterative methods for the solution of absolute value equations

  • 1.
    School of Mathematical Sciences, Zhejiang Normal University, Jinhua 321004, Zhejiang, China
  • 2.
    Department of Quantitative analysis, College of Business Administrations, King Saud University, P.O. Box 71115, Riyadh 11587, Saudi Arabia
  • Received: 22 May 2024 Revised: 02 July 2024 Accepted: 16 July 2024 Published: 22 July 2024

  • MSC : 49M20, 90C33

  • The use of absolute value equations (AVEs) is widespread across a wide range of fields, including scientific computing, management science, and engineering. Our aim in this study is to introduce two new methods for solving AVEs and to explore their convergence characteristics. Furthermore, numerical experiments will be carried out to demonstrate their feasibility, robustness, and efficacy.

    Citation: Rashid Ali, Fuad A. Awwad, Emad A. A. Ismail. The development of new efficient iterative methods for the solution of absolute value equations[J]. AIMS Mathematics, 2024, 9(8): 22565-22577. doi: 10.3934/math.20241098

    Related Papers:

  • The use of absolute value equations (AVEs) is widespread across a wide range of fields, including scientific computing, management science, and engineering. Our aim in this study is to introduce two new methods for solving AVEs and to explore their convergence characteristics. Furthermore, numerical experiments will be carried out to demonstrate their feasibility, robustness, and efficacy.



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