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Geršgorin-type localizations of generalized eigenvalues

✍ Scribed by V. Kostić; L. J. Cvetković; R. S. Varga


Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
211 KB
Volume
16
Category
Article
ISSN
1070-5325

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For complex square matrices, the Levy-Desplanques theorem asserts that a strictly diagonally dominant matrix is invertible. The well-known Geršgorin theorem on the location of eigenvalues is equivalent to this. In this article, we extend the Levy-Desplanques theorem to an object in a Euclidean Jorda