New bounds for the Eigenvalues of Matrix Polynomials

Authors

  • Aliaa Burqan , Zarqa University, Zarqa 13110, Jordan
  • Hamdan Dbabesh , Zarqa University, Zarqa 13110, Jordan
  • Ahmad Qazza , Zarqa University, Zarqa 13110, Jordan
  • Mona Khandaqji

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i2.4706

Keywords:

Bounds for the zeroes of polynomials; companion matrix; spectral radius; numerical radius.

Abstract

We employ several numerical radius inequalities to the square of the Frobenius companion matrices of monic matrix polynomials to provide new bounds for the eigenvalues of these polynomials.

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Published

2023-04-30

Issue

Vol. 16 No. 2: (April 2023)

License

Copyright (c) 2023 European Journal of Pure and Applied Mathematics

Creative Commons License

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Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

New bounds for the Eigenvalues of Matrix Polynomials. (2023). European Journal of Pure and Applied Mathematics, 16(2), 806-818. https://doi.org/10.29020/nybg.ejpam.v16i2.4706