New efficient and accurate bounds for zeros of a polynomial based on similarity of companion complex matrices-Reference-Cited by-同舟云学术

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

Published:2023 Issue:9 Volume:37 Page:2961-2968
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Burqan Aliaa¹,Alsawaftah Ahmad¹,Al-Zhour Zeyad²

Affiliation:

1. Department of Mathematics, Zarqa University, Zarqa, Jordan

2. Department of Basic Engineering Sciences, College of Engineering, Imam Abdulrahman Bin Faisal University, Dammam, Saudi Arabia

Abstract

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.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference15 articles.

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2. Bhunia, Pintu; Bag, Santanu; Nayak, Raj Kumar; Paul, Kallol Estimations of zeros of a polynomial using numerical radius inequalities. Kyungpook Math. J. 61 (2021), no. 4, 845-858.

3. Bhunia, P., Paul, K., Proper improvement of well-known numerical radius inequalities and their applications. Results in Mathematics, 76(4) (2021), 1-12.

4. Bhunia, P., Paul, K., Annular bounds for the zeros of a polynomial from companion matrices. Advancess in Operator Theory, 7(1) (2022), 1-19.

5. Fujii, M., Kubo, F., Operator norms as bounds for roots of algebraic equations. Proceedings of the Japan Academy, 49(10) (1973), 805-808.

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