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- W2952473952 abstract "The map which takes a square matrix $A$ to its polytrope is piecewise linear. We show that cones of linearity of this map form a polytopal fan partition of ${R}^{n times n}$, whose face lattice is anti-isomorphic to the lattice of complete set of connected relations. This fan refines the non-fan partition of $R^{n times n}$ corresponding to cones of linearity of the eigenvector map. Our results answer open questions in a previous work with Sturmfels and lead to a new combinatorial classification of polytropes and tropical eigenspaces." @default.
- W2952473952 created "2019-06-27" @default.
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- W2952473952 date "2012-05-14" @default.
- W2952473952 modified "2023-10-18" @default.
- W2952473952 title "Polytropes and Tropical Eigenspaces: Cones of Linearity" @default.
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