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.

Abstract

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.