Chebyshev inequalities and self-dual cones.
Combinatorial properties of Fourier-Motzkin elimination.
Complete solution of tropical vector inequalities using matrix sparsification
We examine the problem of finding all solutions of two-sided vector inequalities given in the tropical algebra setting, where the unknown vector multiplied by known matrices appears on both sides of the inequality. We offer a solution that uses sparse matrices to simplify the problem and to construct a family of solution sets, each defined by a sparse matrix obtained from one of the given matrices by setting some of its entries to zero. All solutions are then combined to present the result in a...
Conjugacy for closed convex sets.