INSTITUTE OF INFORMATION TECHNOLOGIES - BAS

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Cybernetics and Information Technologies
Volume 6, No 2. Sofia, 2006, Bulgarian Academy of Sciences


Some Properties of the Characteristic Polynomial of a Nonnegative Matrix

Vladimir Monov

Institute of Information Technologies, 1113 Sofia
E-mail: vmonov@iit.bas.bg

Abstract: In this paper, we extend and generalize some of the well known spectral properties of a nonnegative matrix by establishing analogous properties for the zeros of derivatives of the characteristic polynomial of such a matrix.