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arxiv: 1511.04652 · v2 · pith:RZE4RLIGnew · submitted 2015-11-15 · 🧮 math.SP · math.RA

Perturbation of Perron roots and The max-plus spectral theorem

classification 🧮 math.SP math.RA
keywords perronpuiseuxrootstheoremalgebracalculatingcombinatoricscondition
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In this paper, we consider the Perron theorem over the real Puiseux field. We introduce a recursive method for calculating Perron roots and Perron vectors of positive Puiseux matrices (which satisfy some condition of genericness) by means of combinatorics based on the tropical linear algebra.

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