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arXiv · 1603.05375

Minimax theorem for the spectral radius of the product of non-negative matrices

Victor Kozyakin
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Abstract

We prove the minimax equality for the spectral radius $ρ(AB)$ of the product of matrices $A\in\mathcal{A}$ and $B\in\mathcal{B}$, where $\mathcal{A}$ and $\mathcal{B}$ are compact sets of non-negative matrices of dimensions $N\times M$ and $M\times N$, respectively, satisfying the so-called hourglass alternative.

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Victor Kozyakin. 2016-12-26. Minimax theorem for the spectral radius of the product of non-negative matrices. https://doi.org/10.1080/03081087.2016.1273877

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