Let σ=(λ1,...,λn) be the spectrum of a nonnegative real n × n matrix. It is shown that σ is the spectrum of a nonnegative real n × n matrix having at most nonzero entries.
@article{bwmeta1.element.bwnjournal-article-bcpv38i1p187bwm,
author = {Laffey, Thomas},
title = {A sparsity result on nonnegative real matrices with given spectrum},
journal = {Banach Center Publications},
volume = {38},
year = {1997},
pages = {187-191},
zbl = {0877.15025},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv38i1p187bwm}
}
Laffey, Thomas. A sparsity result on nonnegative real matrices with given spectrum. Banach Center Publications, Tome 38 (1997) pp. 187-191. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv38i1p187bwm/
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