{"title":"The unique solvability conditions for a new class of absolute value equation","authors":"Shubham Kumar, D. Deepmala","doi":"10.2298/yjor220515036k","DOIUrl":null,"url":null,"abstract":"In this article, we investigate the solution of a new class of the absolute value equation (NCAVE) A1x ? |B1x ? c| = d. Based on spectral radius condition, singular value condition and row and column W-property, some necessary and sufficient conditions for unique solvability for NCAVE are gained. Some new results for the unique solvability of the new generalized absolute value equation (NGAVE) A1x?|B1x| = d are also obtained.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Yugoslav Journal of Operations Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/yjor220515036k","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Decision Sciences","Score":null,"Total":0}
引用次数: 2
Abstract
In this article, we investigate the solution of a new class of the absolute value equation (NCAVE) A1x ? |B1x ? c| = d. Based on spectral radius condition, singular value condition and row and column W-property, some necessary and sufficient conditions for unique solvability for NCAVE are gained. Some new results for the unique solvability of the new generalized absolute value equation (NGAVE) A1x?|B1x| = d are also obtained.
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