{"title":"扩展垂直线性互补问题的摄动界","authors":"Shi-Liang Wu, Wen Li, He-Hui Wang","doi":"10.1007/s40305-023-00456-6","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 $${\\mathcal {W}}$$ -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":"86 1","pages":"0"},"PeriodicalIF":0.9000,"publicationDate":"2023-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The Perturbation Bound of the Extended Vertical Linear Complementarity Problem\",\"authors\":\"Shi-Liang Wu, Wen Li, He-Hui Wang\",\"doi\":\"10.1007/s40305-023-00456-6\",\"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 $${\\\\mathcal {W}}$$ -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\":\"86 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2023-03-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Operations Research Society of China\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s40305-023-00456-6\",\"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":"1085","ListUrlMain":"https://doi.org/10.1007/s40305-023-00456-6","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}
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 $${\mathcal {W}}$$ -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.
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.