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Joint bounds for the Perron roots of nonnegative matrices with applications

✍ Scribed by Yu. A. Al’pin; L. Yu. Kolotilina; N. N. Korneeva

Publisher
Springer US
Year
2007
Tongue
English
Weight
220 KB
Volume
141
Category
Article
ISSN
1573-8795

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Let A be an n × 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