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JMB Journal of Microbiolog and Biotechnology

OPEN ACCESS eISSN 0454-8124
pISSN 1225-6951
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Kyungpook Mathematical Journal 2021; 61(3): 583-590

Published online September 30, 2021

Copyright © Kyungpook Mathematical Journal.

New Bounds for the Numerical Radius of a Matrix in Terms of Its Entries

Abdelkader Frakis

Department of Mathematics, Mustapha Stambouli University, Mascara, Algeria
e-mail : aekfrakis@yahoo.fr

Received: March 18, 2020; Revised: January 15, 2021; Accepted: February 8, 2021

Abstract

In this work we give new upper and lower bounds for the numerical radius of a complex square matrix A using the entries and the trace of A.

Keywords: Numerical range, trace of matrix, Frobenius norm, numerical radius, spectral radius.