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- W1968793314 abstract "The paper presents a new monotonicity property of the Perron root of a nonnegative matrix. It is shown that this new property implies known monotonicity properties and also the Chistyakov two-sided bounds for the Perron root of a block-partitioned nonnegative matrix. Moreover, based on the monotonicity property suggested, the equality cases in Chistyakov’s theorem are analyzed. Applications to bounding above the spectral radius of a complex matrix are presented. Bibliography: 9 titles." @default.
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- W1968793314 date "2007-03-01" @default.
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- W1968793314 title "The generalized monotonicity property of the Perron root" @default.
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- W1968793314 doi "https://doi.org/10.1007/s10958-007-0066-9" @default.
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