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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