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A counterexample connected with Geršgorin's theorem

✍ Scribed by Morris Newman; Robert C. Thompson

Book ID
107826707
Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
543 KB
Volume
201
Category
Article
ISSN
0024-3795

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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