Volume 30, pp. 398-405, 2008.

Approximation of the minimal Geršgorin set of a square complex matrix

Richard S. Varga, Ljiljana Cvetković, and Vladimir Kostić

Abstract

In this paper, we address the problem of finding a numerical approximation to the minimal Geršgorin set, $\Gamma^{\cal R}(A)$, of an irreducible matrix $A$ in ${\bf C}^{n,n}$. In particular, boundary points of $\Gamma^{\cal R}(A)$ are related to a well-known result of Olga Taussky.

Full Text (PDF) [146 KB], BibTeX

Key words

eigenvalue localization, Geršgorin theorem, minimal Geršgorin set.

AMS subject classifications

15A18, 65F15

ETNA articles which cite this article

Vol. 40 (2013), pp. 1-16 Emmanuel Kamgnia and Bernard Philippe: Counting eigenvalues in domains of the complex field