101 citations · 126 across the 18 of their papers we have counts for
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math.AC2008★ 3 cited
Linear independence over tropical semirings and beyond
Marianne Akian, Stephane Gaubert, Alexander Guterman
We investigate different notions of linear independence and of matrix rank that are relevant for max-plus or tropical semirings. The factor rank and tropical rank have already rece…
math.CA2008★ 3 cited
Preserving positive polynomials and beyond
Julius Borcea, Alexander Guterman, Boris Shapiro
Following the classical approach of Pólya-Schur theory we initiate in this paper the study of linear operators acting on and preserving either the set of positive u…