Mathematics Research Institute

No se ha especificado ningún tipo
No se ha especificado ningún tipo

Nonnegative inverse eigenvalue problem: improving sufficient conditions and perturbing complex eigenvalues

Ricardo Soto Montero (Universidad Católica del Norte, Antofagasta (Chile))

Fecha: 04/07/2012 12:30
Lugar: Aula Alan Turing, ETS Ingeniería Informática
Grupo: Singacom

The nonnegative inverse eigenvalue problem (NIEP) asks for necessary and sufficient conditions for the existence of a nonnegative matrix with prescribed eigenvalues. In this work, we consider two topics of the problem: First, by introducing a particular partition, we improve previous sufficient conditions for both, the real and symmetric cases. Second, we prove a Guo type perturbation result for the imaginary parts of complex eigenvalues, while keeping nonnegativity.