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Norm estimates for the inverses of matrices of monotone type and totally positive matrices

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Abstract

We give estimates of the infinity norm of the inverses of matrices of monotone type and totally positive matrices.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    Yu. S. Volkov & V. L. Miroshnichenko

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  1. Yu. S. Volkov
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  2. V. L. Miroshnichenko
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Correspondence to Yu. S. Volkov.

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Original Russian Text Copyright c © 2009 Volkov Yu. S. and Miroshnichenko V. L.

The authors were partially supported by the Department of Mathematical Sciences of the Russian Academy of Sciences (Grant 2009-1.3.8), Interdisciplinary Integration Projects of the Siberian Division of the Russian Academy of Sciences (Grant 2009-81), and the Siberian Division of the Russian Academy of Sciences with Ural Division of the Russian Academy of Sciences (Grant 2009-14).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 50, No. 6, pp. 1248–1254, November–December, 2009.

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Volkov, Y.S., Miroshnichenko, V.L. Norm estimates for the inverses of matrices of monotone type and totally positive matrices. Sib Math J 50, 982–987 (2009). https://doi.org/10.1007/s11202-009-0108-2

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  • DOI: https://doi.org/10.1007/s11202-009-0108-2

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