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On a theorem of Geršgorin

✍ Scribed by L. C. Graue; M. Reichaw


Publisher
Springer Vienna
Year
1972
Tongue
English
Weight
508 KB
Volume
76
Category
Article
ISSN
0026-9255

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Strict diagonal dominance and a Geršgori
✍ Melania M. Moldovan; M. Seetharama Gowda 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 194 KB

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