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Geometric Multiplicities and Geršgorin Discs

✍ Scribed by Rachid Marsli, Frank J. Hall


Book ID
120063454
Publisher
Mathematical Association of America
Year
2013
Tongue
English
Weight
208 KB
Volume
120
Category
Article
ISSN
0002-9890

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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