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For questions about tropical geometry, piece-wise linear functions with integer slopes, tropical degenerations and applications of tropical geometry, max-plus algebra, and tropical semifields.

0 votes

Actual zeros of tropical Laurent polynomial

If I understand your question correctly, then the solution locus of $L(X) = c$ for any constant $c$ (if $L(X)$ itself is not constant) is a subset of the "tropical solutions" of $L(X) \oplus c$, which …
Igor Khavkine's user avatar
8 votes

Is there a straightforward generalization of min(x,y) to positive-semidefinite Hermitian mat...

I don't know if this is the kind of answer that you were looking for, but (hat tip this math.SE answer) the preprint Nikolas Stott, Maximal lower bounds in the Löwner order [arXiv:1612.05664] seems …
Igor Khavkine's user avatar