The Perturbation Bound of the Extended Vertical Linear Complementarity Problem

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  • 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 date: 2022-05-10

  Online published: 2024-08-15

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.

Cite this article

Shi-Liang Wu, Wen Li, He-Hui Wang . The Perturbation Bound of the Extended Vertical Linear Complementarity Problem[J]. Journal of the Operations Research Society of China, 2024 , 12(3) : 601 -625 . DOI: 10.1007/s40305-023-00456-6

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