New Estimate for the Numerical Radius of a given Matrix and Bounds for the Zeros of Polynomials
نویسنده
چکیده
In this paper we find new estimate for the numerical radius of a given matrix, and we prove that, this estimate is better than any estimate for the numerical radius. We present also new bounds for the zero of polynomials by using new estimate for the numerical radius of a companion matrix of a given polynomial and matrix inequalities.
منابع مشابه
Estimates for the Numerical Radius and the Spectral Radius of the Frobenius Companion Matrix and Bounds for the Zeros of Polynomials
We apply numerical radius and spectral radius estimates to the Frobenius companion matrices of monic polynomials to derive new bounds for their zeros and give different proofs of some known bounds.
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