{"title":"Unified approach to reciprocal matrices with Kippenhahn curves containing elliptical components","authors":"Muyan Jiang, Ilya M. Spitkovsky","doi":"10.1080/03081087.2024.2414830","DOIUrl":null,"url":null,"abstract":"We consider tridiagonal matrices (aij)i,j=1n with constant main diagonal and such that ai,i+1ai+1,i=1 for i=1,…,n−1. For these matrices, criteria are established under which their Kippenhahn curves...","PeriodicalId":49905,"journal":{"name":"Linear & Multilinear Algebra","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2024-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Linear & Multilinear Algebra","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/03081087.2024.2414830","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We consider tridiagonal matrices (aij)i,j=1n with constant main diagonal and such that ai,i+1ai+1,i=1 for i=1,…,n−1. For these matrices, criteria are established under which their Kippenhahn curves...
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Linear and Multilinear Algebra publishes high-quality original research papers that advance the study of linear and multilinear algebra, or that include novel applications of linear and multilinear algebra to other branches of mathematics and science. Linear and Multilinear Algebra also publishes research problems, survey articles and book reviews of interest to researchers in linear and multilinear algebra. Appropriate areas include, but are not limited to:
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