Kybernetika 46 no. 4, 655-664, 2010

Bounds of modulus of eigenvalues based on Stein equation

Guang-Da Hu and Qiao Zhu

Abstract:

This paper is concerned with bounds of eigenvalues of a complex matrix. Both lower and upper bounds of modulus of eigenvalues are given by the Stein equation. Furthermore, two sequences are presented which converge to the minimal and the maximal modulus of eigenvalues, respectively. We have to point out that the two sequences are not recommendable for practical use for finding the minimal and the maximal modulus of eigenvalues.

Keywords:

eigenvalues, lower and upper bounds, Stein equation

Classification:

65F10, 65F15

paper.pdf

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