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2022, Volume 7, Issue 1: 606-616. doi: 10.3934/math.2022038
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Modified BAS iteration method for absolute value equation

  • 1.
    School of Mathematics, Yunnan Normal University, Kunming, Yunnan 650500, China
  • 2.
    Shaanxi Key Laboratory of Industrial Automation, Shaanxi University of Technology, Hanzhong, Shaanxi 723001, China
  • Received: 14 July 2021 Accepted: 29 September 2021 Published: 14 October 2021

  • MSC : 65F10, 90C05, 90C30

  • In this paper, to improve the convergence speed of the block-diagonal and anti-block-diagonal splitting (BAS) iteration method, we design a modified BAS (MBAS) method to obtain the numerical solution of the absolute value equation. Theoretical analysis shows that under certain conditions the MBAS method is convergent. Numerical experiments show that the MBAS method is feasible.

    Citation: Cui-Xia Li, Long-Quan Yong. Modified BAS iteration method for absolute value equation[J]. AIMS Mathematics, 2022, 7(1): 606-616. doi: 10.3934/math.2022038

    Related Papers:

  • In this paper, to improve the convergence speed of the block-diagonal and anti-block-diagonal splitting (BAS) iteration method, we design a modified BAS (MBAS) method to obtain the numerical solution of the absolute value equation. Theoretical analysis shows that under certain conditions the MBAS method is convergent. Numerical experiments show that the MBAS method is feasible.


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