GERSGORIN–STYLE ESTIMATION OF THE SPECTRAL RADIUS AND OF THE SMALLEST, IN THE MODULUS, EIGENVALUE

Dominika Wojtera-Tyrakowska

   This paper is a continuation of the work “Optimal Gersgorin-Style Estimation of Extremal Singular Values” (by C. R. Johnson, T. Szulc and D. Wojtera-Tyrakowska). The purpose of this paper is to describe the best possible estimates for both the spectral radius and, in nonsingular case, the smallest (in the modulus) eigenvalue based on Gersgorin-type information.

Keywords: spectral radius, eigenvalue, bound for extremal (in the moduli) eigenvalues, equimodular, equiradial

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