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arXiv · 1305.7339

On the max-algebraic core of a nonnegative matrix

Peter Butkovic·Hans Schneider·Sergei Sergeev
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Abstract

The max-algebraic core of a nonnegative matrix is the intersection of column spans of all max-algebraic matrix powers. Here we investigate the action of a matrix on its core. Being closely related to ultimate periodicity of matrix powers, this study leads us to new modifications and geometric characterizations of robust, orbit periodic and weakly stable matrices.

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Peter Butkovic, Hans Schneider, Sergei Sergeev. 2013-05-31. On the max-algebraic core of a nonnegative matrix. https://arxiv.org/abs/1305.7339

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