Acta mathematica scientia,Series A ›› 2026, Vol. 46 ›› Issue (3): 1246-1254.

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A Modulus-Based Matrix Splitting Iterative Method for a Class of Vertical Linear Complementarity Problems

Shuhong Wen1(), Yifen Ke2,*(), Lifen Xiao2(), Xiwen Chen2()   

  1. 1 Department of Data Science and Statistics, Fuzhou University Zhicheng College, Fuzhou 350002
    2 School of Mathematics and Statistics, Fujian Normal University, Fuzhou 35011
  • Received:2025-01-04 Revised:2025-10-21 Online:2026-06-26 Published:2026-06-16
  • Contact: Yifen Ke E-mail:32642217@qq.com;keyifen@fjnu.edu.cn;1943488318@qq.com;2513758118@qq.com
  • Supported by:
    NSFC(12371378)

Abstract:

By means of the modulus technique, a class of vertical linear complementarity problems is transformed into an equivalent nonlinear equation system. On this basis, a new modulus-based matrix splitting iterative method is established, and the convergence of the proposed algorithm is analyzed. Finally, one numerical example is provided for numerical experiment and the numerical result is compared with other methods.

Key words: Lvertical linear complementarity problem, matrix splitting, iterative method, convergence.

CLC Number: 

  • O221.2
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