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Nonnegative Inverse Elementary Divisors Problem for Lists with Nonnegative Real Parts

Author

Listed:
  • 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)

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.

Suggested Citation

  • Hans Nina & Hector Flores Callisaya & H. Pickmann-Soto & Jonnathan Rodriguez, 2020. "Nonnegative Inverse Elementary Divisors Problem for Lists with Nonnegative Real Parts," Mathematics, MDPI, vol. 8(10), pages 1-10, September.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:10:p:1662-:d:420248
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