Tropicalizing the Simplex Algorithm Article Swipe
Related Concepts
Simplex algorithm
Combinatorial algorithms
Simplex
Dimension (graph theory)
Computation
Mathematics
Linear programming
Algorithm
Criss-cross algorithm
Revised simplex method
Combinatorics
Tropical geometry
Mathematical optimization
Discrete mathematics
Linear-fractional programming
Xavier Allamigeon
,
Pascal Benchimol
,
Stéphane Gaubert
,
Michael Joswig
·
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.1137/130936464
· OA: W2212625624
YOU?
·
· 2015
· Open Access
·
· DOI: https://doi.org/10.1137/130936464
· OA: W2212625624
We develop a tropical analog of the simplex algorithm for linear programming.\nIn particular, we obtain a combinatorial algorithm to perform one tropical\npivoting step, including the computation of reduced costs, in O(n(m+n)) time,\nwhere m is the number of constraints and n is the dimension.\n
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