基于伴复矩阵相似度的多项式零点新有效精确界

IF 0.8 4区数学 Q2 MATHEMATICS Filomat Pub Date : 2023-01-01 DOI:10.2298/fil2309961b

Aliaa Burqan, Ahmad Alsawaftah, Zeyad Al-Zhour

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引用次数: 1

摘要

本文给出了具有数值系数和矩阵系数的多项式的零点的新边界，并证明了这些边界对于系数差较小的多项式是有效的和更精确的。为了得到我们的主要结果，我们应用了矩阵的相似性和矩阵不等式，包括数值半径和矩阵范数。最后，给出了一些实例并进行了讨论。

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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New efficient and accurate bounds for zeros of a polynomial based on similarity of companion complex matrices

In this paper, we present new bounds for the zeros of polynomials with numerical and matrix coefficients and show that these bounds are effective and more accurate for polynomials that have small differences between their coefficients. To get our main results, we apply the similarity of matrices and matrix inequalities including the numerical radius and matrix norms. Finally, some illustrated examples are given and discussed.

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