{"title":"New sufficient conditions for the solvability of a new class of Sylvester-like absolute value matrix equation","authors":"Shubham Kumar, Deepmala, Roshan Lal Keshtwal","doi":"10.33993/jnaat522-1321","DOIUrl":null,"url":null,"abstract":"In this article, some new sufficient conditions for the unique solvability of a new class of Sylvester-like absolute value matrix equation \\(AXB - \\vert CXD \\vert =F\\) are given. This work is distinct from the published work by Li [Journal of Optimization Theory and Application, 195(2), 2022]. Some new conditions were also obtained, which were not covered by Li. We also provided an example in support of our result.","PeriodicalId":287022,"journal":{"name":"Journal of Numerical Analysis and Approximation Theory","volume":"11 4","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Numerical Analysis and Approximation Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33993/jnaat522-1321","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, some new sufficient conditions for the unique solvability of a new class of Sylvester-like absolute value matrix equation \(AXB - \vert CXD \vert =F\) are given. This work is distinct from the published work by Li [Journal of Optimization Theory and Application, 195(2), 2022]. Some new conditions were also obtained, which were not covered by Li. We also provided an example in support of our result.
本文给出了一类新的西尔维斯特类绝对值矩阵方程 \(AXB -\vert CXD \vert =F/)的唯一可解性的一些新的充分条件。这项工作有别于 Li [Journal of Optimization Theory and Application, 195(2), 2022] 已发表的工作。我们还得到了一些新的条件,这些条件是 Li 没有涉及到的。我们还提供了一个例子来支持我们的结果。