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	STUDIA MATHEMATICA - Issue no. 4 / 2009

	Article:	NEW ESTIMATE FOR THE NUMERICAL RADIUS OF A GIVEN MATRIX AND BOUNDS FOR THE ZEROS OF POLYNOMIALS. Authors: MOHAMMAD AL-HAWARI.


	Abstract: 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. Key words and phrases. Companion matrix, numerical radius, spectral norm, unitary matrix and zeros of polynomials.




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