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On the sharpness of two-sided bounds for the Perron Root and of the related eigenvalue inclusion sets

✍ Scribed by L.Yu. Kolotilina


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
217 KB
Volume
429
Category
Article
ISSN
0024-3795

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Let A be an n Γ— n nonnegative irreducible matrix, let A[ ] be the principal submatrix of A based on the nonempty ordered subset of {1, 2, . . . , n}, and define the generalized Perron complement of A[ ] by P t (A/A[ ]), i.e., This paper gives the upper and lower bounds on the Perron root of A. An u