The berization of a ne systems via dual Gramian techniques, that was developed in previous papers of the authors, is applied here for the study of a ne frames which have an a ne dual system. Gramian techniques are also used to verify whether a dual pair of a ne frames is a also a pair of bi-orthogonal Riesz bases. A general method for a painless derivation of a dual pair of a ne frames from an ...

We consider the mixed integer version of bipartite vertex cover. This is equivalent to the mixed integer network dual model, recently introduced in [2], that generalizes several mixed integer sets arising in production planning. We derive properties of inequalities that are valid for the convex hull of the mixed integer bipartite covers by projecting an extended formulation onto the space of th...

This paper describes an experimental code that has been developed to solve zero one mixed integer linear programs The experimental code uses a primal dual interior point method to solve the linear programming subproblems that arise in the solution of mixed integer linear programs by the branch and bound method Computational results for a number of test problems are provided

This paper describes an experimental code that has been developed to solve zero-one mixed integer linear programs. The experimental code uses a primal{dual interior point method to solve the linear programming subproblems that arise in the solution of mixed integer linear programs by the branch and bound method. Computational results for a number of test problems are provided.

This paper presents a mixed variational formulation and its discretization by finite elements of higher-order for the Signorini problem with Tresca friction. To guarantee the unique existence of the solution to the discrete mixed problem, a discrete inf-sup condition is proved. Moreover, a solution scheme based on the dual formulation of the problem is proposed. Numerical results confirm the th...

In this paper, we extend the notions of ( , ρ)-invexity and generalized ( , ρ)invexity to the continuous case and we use these concepts to establish sufficient optimality conditions for the considered class of nonconvexmultiobjective variational control problems. Further, multiobjective variational control mixed dual problem is given for the considered multiobjective variational control problem...