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An inequality for the spectra of nonnegative matrices

✍ Scribed by Anthony G. Cronin; Thomas J. Laffey

Book ID
113772177
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
310 KB
Volume
436
Category
Article
ISSN
0024-3795

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📜 SIMILAR VOLUMES

Spectra of principal submatrices of nonn
Spectra of principal submatrices of nonnegative matrices
✍ Thomas J. Laffey; Helena Šmigoc 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 139 KB

Let A be an n × n nonnegative matrix with the spectrum (λ 1 , λ 2 , . . . , λ n ) and let A 1 be an m × m principal submatrix of A with the spectrum (μ 1 , μ 2 , . . . , μ m ). In this paper we present some cases where the realizability of (μ 1 , μ 2 , . . . , μ m , ν 1 , ν 2 , . . . , ν s ) implies