Extended Active Constraints in Linear Optimization with Applications
Miguel Angel Goberna, Marco A. López, Maxim Ivanov Todorov · SIAM Journal on Optimization · 2003
In this paper we introduce different relaxations of the concept of active constraint at a given point with respect to a certain linear inequality system with an arbitrary number of constraints. We show that these concepts provide useful local information in linear optimization, for instance conditions for a given feasible solution to be a unique, extreme point, optimal solution or a strongly unique optimal solution.