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

Kallol Paul, Santanu Bag
2012 International Journal of Mathematics and Mathematical Sciences  
We obtain inequalities involving numerical radius of a matrixA∈Mn(ℂ). 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 matrixA∈Mn(ℂ)up to the desired degree of accuracy.
doi:10.1155/2012/129132 fatcat:q6gjdftq3bd73pxdftmeed6sfi