Improving Chistyakov’s bounds for the Perron root of a nonnegative matrix |
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| Authors: | L Yu Kolotilina |
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| Institution: | (1) St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia |
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| Abstract: | The paper presents new two-sided bounds for the Perron root of a block-partitioned nonnegative matrix, improving Chistyakov’s
bounds. The equality cases are analyzed. As an application, new conditions sufficient for a complex matrix to be a nonsingular
H-matrix are obtained. Bibliography: 8 titles.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 346, 2007, pp. 103–118. |
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