On calculation of Perron roots and Perron vectors of positive Puiseux matrices

Shinsuke Iwao · arXiv (Cornell University) · 2015

In this paper, we consider the Perron theorem over the real Puiseux field. We introduce techniques for calculating Perron roots and Perron vectors of positive Puiseux matrices by means of elementary linear algebra, combinatorics and tropical algebra. Our method gives a constructive proof of the Perron theorem over the real Puiseux field.

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