Approximation of the minimal Geršgorin set of a square complex matrix
Electronic transactions on numerical analysis, Tome 30 (2008), pp. 398-405
In this paper, we address the problem of finding a numerical approximation to the minimal Ger$\check $sgorin set, $\Gamma R(A)$, of an irreducible matrix A in Cn,n. In particular, boundary points of $\Gamma R(A)$ are related to a wellknown result of Olga Taussky.
Classification :
15A18, 65F15
Keywords: eigenvalue localization, ger$\check $sgorin theorem, minimal ger$\check $sgorin set
Keywords: eigenvalue localization, ger$\check $sgorin theorem, minimal ger$\check $sgorin set
@article{ETNA_2008__30__a1,
author = {Varga, Richard S. and Cvetkovi\'c, Ljiljana and Kosti\'c, Vladimir},
title = {Approximation of the minimal {Ger\v{s}gorin} set of a square complex matrix},
journal = {Electronic transactions on numerical analysis},
pages = {398--405},
year = {2008},
volume = {30},
zbl = {1188.15008},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ETNA_2008__30__a1/}
}
TY - JOUR AU - Varga, Richard S. AU - Cvetković, Ljiljana AU - Kostić, Vladimir TI - Approximation of the minimal Geršgorin set of a square complex matrix JO - Electronic transactions on numerical analysis PY - 2008 SP - 398 EP - 405 VL - 30 UR - http://geodesic.mathdoc.fr/item/ETNA_2008__30__a1/ LA - en ID - ETNA_2008__30__a1 ER -
%0 Journal Article %A Varga, Richard S. %A Cvetković, Ljiljana %A Kostić, Vladimir %T Approximation of the minimal Geršgorin set of a square complex matrix %J Electronic transactions on numerical analysis %D 2008 %P 398-405 %V 30 %U http://geodesic.mathdoc.fr/item/ETNA_2008__30__a1/ %G en %F ETNA_2008__30__a1
Varga, Richard S.; Cvetković, Ljiljana; Kostić, Vladimir. Approximation of the minimal Geršgorin set of a square complex matrix. Electronic transactions on numerical analysis, Tome 30 (2008), pp. 398-405. http://geodesic.mathdoc.fr/item/ETNA_2008__30__a1/