关于Kac-Sylvester矩阵的数值范围

IF 0.7 4区数学 Q2 Mathematics

Electronic Journal of Linear Algebra Pub Date : 2023-05-19 DOI:10.13001/ela.2023.7703

N. Bebiano, R. Lemos, G. Soares

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引用次数: 0

摘要

本文描述了Kac-Sylvester矩阵的边界生成曲线和高达$9阶的数值范围。根据得到的结果和用Mathematica和MatLab程序进行的几次计算实验，我们推测所发现的代数曲线类型，即椭圆和椭圆，将出现任意顺序。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the numerical range of Kac-Sylvester matrices

In this paper, the boundary generating curves and the numerical range of Kac-Sylvester matrices up to the order $9$ are characterized. Based on the obtained results and on several computational experiments performed with the Mathematica and MatLab programs, we conjecture that the found types of algebraic curves, namely ellipses and ovals, will appear for an arbitrary order.

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来源期刊

Electronic Journal of Linear Algebra 数学-数学

CiteScore

1.20

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： The journal is essentially unlimited by size. Therefore, we have no restrictions on length of articles. Articles are submitted electronically. Refereeing of articles is conventional and of high standards. Posting of articles is immediate following acceptance, processing and final production approval.