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Improving Chistyakov’s bounds for the Perron root of a nonnegative matrix

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An Erratum to this article was published on 21 February 2009

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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References

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Authors and Affiliations

  1. St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia

    L. Yu. Kolotilina

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  1. L. Yu. Kolotilina
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Correspondence to L. Yu. Kolotilina.

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__________

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 346, 2007, pp. 103–118.

An erratum to this article is available at http://dx.doi.org/10.1007/s10958-009-9356-8.

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Kolotilina, L.Y. Improving Chistyakov’s bounds for the Perron root of a nonnegative matrix. J Math Sci 150, 1973–1981 (2008). https://doi.org/10.1007/s10958-008-0112-2

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  • DOI: https://doi.org/10.1007/s10958-008-0112-2

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