International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 129132, 15 pages
Research Article

On Numerical Radius of a Matrix and Estimation of Bounds for Zeros of a Polynomial

Department of Mathematics, Jadavpur University, Kolkata 700032, India

Received 31 March 2012; Accepted 5 June 2012

Academic Editor: Teodor Bulboaca

Copyright © 2012 Kallol Paul and Santanu Bag. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We obtain inequalities involving numerical radius of a matrix . Using this result, we find upper bounds for zeros of a given polynomial. We also give a method to estimate the spectral radius of a given matrix up to the desired degree of accuracy.