Mathematics (Sep 2020)

Nonnegative Inverse Elementary Divisors Problem for Lists with Nonnegative Real Parts

  • Hans Nina,
  • Hector Flores Callisaya,
  • H. Pickmann-Soto,
  • Jonnathan Rodriguez

DOI
https://doi.org/10.3390/math8101662
Journal volume & issue
Vol. 8, no. 10
p. 1662

Abstract

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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