Tag: combinatorics

  • Lagrangian multipliers, normal cones and KKT optimality conditions

    We consider constrained optimization problems of the kind: where the feasibility region is a polytope, i.e., is the set of such that: where are real matrices of size and , respectively, and are column vectors. Equivalently, we can rewrite (1) as: where are the -th row of and , respectively, and denotes the scalar product. In this post we…