Journal of the Operations Research Society of China ›› 2024, Vol. 12 ›› Issue (3): 601-625.doi: 10.1007/s40305-023-00456-6

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The Perturbation Bound of the Extended Vertical Linear Complementarity Problem

Shi-Liang Wu1, Wen Li2, He-Hui Wang3   

  1. 1 School of Mathematics, Yunnan Normal University, Kunming 650500, Yunnan, China;
    2 School of Mathematical Sciences, South China Normal University, Guangzhou 510631, Guangdong, China;
    3 School of Mathematics and Statistics, Yunnan University, Kunming 650091, Yunnan, China
  • Received:2022-05-10 Online:2024-09-30 Published:2024-08-15
  • Contact: Shi-Liang Wu, Wen Li, He-Hui Wang E-mail:slwuynnu@126.com;liwen@m.scnu.edu.cn;wanghehui1994@126.com
  • Supported by:
    This research was supported by the National Natural Science Foundation of China (Nos. 11961082, 12071159 and U1811464).

Abstract: In this paper, we discuss the perturbation analysis of the extended vertical linear complementarity problem (EVLCP). Under the assumption of the row $\mathcal{W}$-property, we derive several absolute and relative perturbation bounds of EVLCP, which extend some existing results. Several numerical examples are given to show the proposed bounds.

Key words: The extended vertical linear complementarity problem, The row $\mathcal{W}$-property, The perturbation bound

CLC Number: