Nonnegative Inverse Elementary Divisors Problem for Lists with Nonnegative Real Parts

Hans Nina, Hector Flores Callisaya, H. Pickmann-Soto and Jonnathan Rodriguez
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Hans Nina: Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile
Hector Flores Callisaya: Departamento de Matemáticas, Universidade Federal de Mato Grosso, Cuiabá 78060-900, Brazil
H. Pickmann-Soto: Departamento de Matemática, Universidad de Tarapacá, Arica 1000000, Chile
Jonnathan Rodriguez: Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta 1240000, Chile

Mathematics, 2020, vol. 8, issue 10, 1-10

Abstract: In this paper, sufficient conditions for the existence and construction of nonnegative matrices with prescribed elementary divisors for a list of complex numbers with nonnegative real part are obtained, and the corresponding nonnegative matrices are constructed. In addition, results of how to perturb complex eigenvalues of a nonnegative matrix while keeping its elementary divisors and its nonnegativity are derived.

Keywords: nonnegative inverse elementary divisors problem; nonnegative matrices; Jordan canonical form (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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