Acta mathematica scientia,Series A ›› 2025, Vol. 45 ›› Issue (4): 1301-1310.

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Integral-Newton type Iteration Method for Solving Generalized Absolute Value Equations

Ma Changfeng1,Zeng Jiaoyan1,*,Kang Jing2,Xie Yajun1()   

  1. 1School of Big Data, Fuzhou University of International Studies and Trade, Fuzhou 350202
    2School of Mathematics and and Statistics, Fujian Normal University, Fuzhou 350117
  • Received:2024-10-12 Revised:2025-03-05 Online:2025-08-26 Published:2025-08-01
  • Supported by:
    NSFC(12371378);NSF of Fujian Province(2024J01980);NSF of Fujian Province(2023J011127)

Abstract:

Based on Gauss-Legendre integral or Newton-Cotes integral method, the integral-Newton type iteration method and the improved integral-Newton type iteration method for solving the generalized absolute value equation are presented. The convergence conditions of the two methods are proved theoretically. Numerical experiments show that the proposed methods are feasible and effective.

Key words: generalized absolute value equation, Gauss-Legendre quadrature, Newton-Cotes quadrature, integral-Newton type iteration method, improved integral-Newton type iteration method

CLC Number: 

  • O241.7
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