Geodesic
Improving Chistyakov's bounds for
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XX, Tome 346 (2007), pp. 103-118 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{ZNSL_2007_346_a7,
     author = {L. Yu. Kolotilina},
     title = {Improving {Chistyakov's} bounds for},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {103--118},
     year = {2007},
     volume = {346},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2007_346_a7/}
}
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L. Yu. Kolotilina. Improving Chistyakov's bounds for. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XX, Tome 346 (2007), pp. 103-118. http://geodesic.mathdoc.fr/item/ZNSL_2007_346_a7/

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