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Monotonicity of the number of positive entries in nonnegative matrix powers

Let A be a nonnegative matrix of order n and [Formula: see text] denote the number of positive entries in A. We prove that if [Formula: see text] or [Formula: see text] , then the sequence [Formula: see text] is monotonic for positive integers k.

Detalles Bibliográficos
Autor principal: Xie, Qimiao
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6154057/
https://www.ncbi.nlm.nih.gov/pubmed/30839676
http://dx.doi.org/10.1186/s13660-018-1833-5