Abstract
The paper suggests two-sided, upper, and lower circuit bounds for the Perron root of a nonnegative matrix, most of which are derived based on an extension of the monotonicity property of the Perron root established by Fiedler and Pták. Bibliography: 9 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 296, 2003, pp. 60–88.
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Kolotilina, L.Y. Bounds and inequalities for the Perron root of a nonnegative matrix. II. Circuit bounds and inequalities. J Math Sci 127, 1988–2005 (2005). https://doi.org/10.1007/s10958-005-0157-4
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DOI: https://doi.org/10.1007/s10958-005-0157-4