{"title":"一类新的西尔维斯特类绝对值矩阵方程可解性的新充分条件","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":"{\"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}","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
摘要
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。
New sufficient conditions for the solvability of a new class of Sylvester-like absolute value matrix equation
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.
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