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A simple generalization of Geršgorin’s theorem

✍ Scribed by Ljiljana Cvetković; Vladimir Kostić; Rafael Bru; Francisco Pedroche

Publisher
Springer
Year
2009
Tongue
English
Weight
338 KB
Volume
35
Category
Article
ISSN
1019-7168

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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