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


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Abstract

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.

About the authors

L. Yu. Kolotilina

St.Petersburg Department of the Steklov Mathematical Institute

Author for correspondence.
Email: lilikona@mail.ru
Russian Federation, St.Petersburg

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