IJPAM: Volume 82, No. 1 (2013)
THE SPECTRAL RADIUS OF A MATRIX AND
THE SQUARE ROOT OF THE SPECTRAL NORM OF
THE SQUARE OF THIS MATRIX
College of Applied Medical Sciences
Almajmaah Zipcode 11952, P.O. Box 1405, KINGDOM OF SAUDI ARABIA
Abstract. In this paper, we introduce some ratios between the numerical radius and the spectral radius of a matrix and the square root of the spectral norm of the square of this matrix, and we review the existing results for extreme cases.
Received: October 14, 2012
AMS Subject Classification: 47A12, 47A30, 15A48
Key Words and Phrases: ratios, numerical radius, spectral norm, spectral radius
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395