## 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.

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### Key words

eigenvalue localization, Geršgorin theorem, minimal Geršgorin set.

15A18, 65F15

### ETNA articles which cite this article

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