Let A be an n×n irreducible nonnegative (elementwise) matrix. Borobia and Moro raised the following question: Suppose that every diagonal of A contains a positive entry. Is A similar to a positive matrix? We give an affirmative answer in the case n = 4.
@article{bwmeta1.element.doi-10_2478_s11533-011-0108-x,
author = {Raphael Loewy},
title = {On a nonnegative irreducible matrix that is similar to a positive matrix},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {303-311},
zbl = {1246.15033},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0108-x}
}
Raphael Loewy. On a nonnegative irreducible matrix that is similar to a positive matrix. Open Mathematics, Tome 10 (2012) pp. 303-311. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-011-0108-x/
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