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arXiv · 1012.5492

Best approximation in max-plus semimodules

Marianne Akian·Stephane Gaubert·Viorel Nitica·Ivan Singer
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Abstract

We establish new results concerning projectors on max-plus spaces, as well as separating half-spaces, and derive an explicit formula for the distance in Hilbert's projective metric between a point and a half-space over the max-plus semiring, as well as explicit descriptions of the set of minimizers. As a consequence, we obtain a cyclic projection type algorithm to solve systems of max-plus linear inequalities.

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Marianne Akian, Stephane Gaubert, Viorel Nitica, Ivan Singer. 2010-12-26. Best approximation in max-plus semimodules. https://doi.org/10.1016/j.laa.2011.06.009

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