Strict diagonal dominance and a GerΕ‘gori
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Melania M. Moldovan; M. Seetharama Gowda
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Article
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2009
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Elsevier Science
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English
β 194 KB
For complex square matrices, the Levy-Desplanques theorem asserts that a strictly diagonally dominant matrix is invertible. The well-known GerΕ‘gorin 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