广义垂直线性互补问题的扰动界

IF 0.9 4区数学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Journal of the Operations Research Society of China Pub Date : 2022-10-03 DOI:10.48550/arXiv.2210.01268

Shiliang Wu, Wen Li, Hehui Wang

{"title":"广义垂直线性互补问题的扰动界","authors":"Shiliang Wu, Wen Li, Hehui Wang","doi":"10.48550/arXiv.2210.01268","DOIUrl":null,"url":null,"abstract":"In this paper, we discuss the perturbation analysis of the extended vertical linear complementarity problem (EVLCP). Under the assumption of the row $${\\mathcal {W}}$$ 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.","PeriodicalId":44782,"journal":{"name":"Journal of the Operations Research Society of China","volume":"1 1","pages":"1-25"},"PeriodicalIF":0.9000,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"The Perturbation Bound of the Extended Vertical Linear Complementarity Problem\",\"authors\":\"Shiliang Wu, Wen Li, Hehui Wang\",\"doi\":\"10.48550/arXiv.2210.01268\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we discuss the perturbation analysis of the extended vertical linear complementarity problem (EVLCP). Under the assumption of the row $${\\\\mathcal {W}}$$ 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.\",\"PeriodicalId\":44782,\"journal\":{\"name\":\"Journal of the Operations Research Society of China\",\"volume\":\"1 1\",\"pages\":\"1-25\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2022-10-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Operations Research Society of China\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.48550/arXiv.2210.01268\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"OPERATIONS RESEARCH & MANAGEMENT SCIENCE\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Operations Research Society of China","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.48550/arXiv.2210.01268","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"OPERATIONS RESEARCH & MANAGEMENT SCIENCE","Score":null,"Total":0}

引用次数: 2

摘要

讨论了扩展垂直线性互补问题(EVLCP)的摄动分析。在行$${\mathcal {W}}$$ W -性质的假设下，我们得到了EVLCP的几个绝对和相对摄动界，推广了已有的一些结果。给出了几个数值例子来说明所提出的边界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

The Perturbation Bound of the Extended Vertical Linear Complementarity Problem

In this paper, we discuss the perturbation analysis of the extended vertical linear complementarity problem (EVLCP). Under the assumption of the row $${\mathcal {W}}$$ 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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of the Operations Research Society of China OPERATIONS RESEARCH & MANAGEMENT SCIENCE-

CiteScore

3.30

自引率

0.00%

发文量

期刊介绍： Journal of the Operations Research Society of China is the flagship journal of the Operations Research Society of China. Its primary goal is to promote researches and applications of all aspects of operational research. This journal provides a forum for practioners, academics and researchers in operational research and related fields. It will reflect the rapid social and economic development of China and lead to new problems and challenges which require new operations research methodology and techniques. It will publish 4 issues of one volume per year, including invited reviews, regular papers, short communications, book reviews and so on.