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On the spectra of matrices having nonnegative sums of principal minors

✍ Scribed by Daniel Hershkowitz

Book ID
107824969
Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
320 KB
Volume
55
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES

Spectra of principal submatrices of nonn
Spectra of principal submatrices of nonnegative matrices
✍ Thomas J. Laffey; Helena Ε migoc πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 139 KB

Let A be an n Γ— n nonnegative matrix with the spectrum (Ξ» 1 , Ξ» 2 , . . . , Ξ» n ) and let A 1 be an m Γ— m principal submatrix of A with the spectrum (ΞΌ 1 , ΞΌ 2 , . . . , ΞΌ m ). In this paper we present some cases where the realizability of (ΞΌ 1 , ΞΌ 2 , . . . , ΞΌ m , Ξ½ 1 , Ξ½ 2 , . . . , Ξ½ s ) implies