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, ${\mathrm{\Gamma }}^{\mathcal{R}}(A)$, of an irreducible matrix $A$ in ${\mathbf{C}}^{n,n}$. In particular, boundary points of ${\mathrm{\Gamma }}^{\mathcal{R}}(A)$ are related to a well-known result of Olga Taussky.

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Key words

eigenvalue localization, Geršgorin theorem, minimal Geršgorin set.

AMS subject classifications

15A18, 65F15

ETNA articles which cite this article

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