Bounds and inequalities for the Perron root of a nonnegative matrix. II. Circuit bounds and inequalities |
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| Authors: | L. Yu. Kolotilina |
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| Affiliation: | (1) St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg |
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| 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.__________Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 296, 2003, pp. 60–88. |
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