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New Nonsingularity Conditions for General Matrices and the Associated Eigenvalue Inclusion Sets

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The paper suggests generalizations of some known sufficient nonsingularity conditions for matrices with constant principal diagonal and the corresponding eigenvalue inclusion sets to the cases of arbitrary matrices and matrices with nonzero diagonal entries. Bibliography: 11 titles.

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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.

Additional information

Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 439, 2015, pp. 128–144.

Translated by L. Yu. Kolotilina.

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Kolotilina, L.Y. New Nonsingularity Conditions for General Matrices and the Associated Eigenvalue Inclusion Sets. J Math Sci 216, 805–815 (2016). https://doi.org/10.1007/s10958-016-2946-3

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  • DOI: https://doi.org/10.1007/s10958-016-2946-3

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