Unified approach to reciprocal matrices with Kippenhahn curves containing elliptical components

IF 0.9 4区数学 Q2 MATHEMATICS

Linear & Multilinear Algebra Pub Date : 2024-10-25 DOI:10.1080/03081087.2024.2414830

Muyan Jiang, Ilya M. Spitkovsky

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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含有椭圆成分的基本哈恩曲线倒数矩阵的统一方法

我们考虑主对角线恒定的三对角矩阵 (aij)i,j=1n，且 i=1,...,n-1 时，ai,i+1ai+1,i=1。对于这些矩阵，建立了它们的基本哈恩曲线的标准...

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来源期刊

Linear & Multilinear Algebra 数学-数学

CiteScore

2.70

自引率

18.20%

发文量

175

审稿时长

4-8 weeks

期刊介绍： 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: spaces over fields or rings tensor algebras nonnegative matrices inequalities in linear algebra combinatorial matrix theory numerical linear algebra representation theory Lie theory invariant theory and operator theory The audience for Linear and Multilinear Algebra includes both industrial and academic mathematicians.