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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.
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Formato: | Online Artículo Texto |
Lenguaje: | English |
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Springer International Publishing
2018
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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 |