Abstract:
The paper suggests new two-sided bounds for the Perron root of a weakly irreducible nonnegative matrix, which depend on the circuits of length no less than two in the associated directed graph and, in some cases, improve Al'pin's bounds, suggested in 1995. Two approaches to deriving circuit bounds are considered.
Key words and phrases:nonnegative matrix, Perron root, two-sided bounds, circuit bounds.
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