Sentence examples for between the dual problem from inspiring English sources

Owing to the duality property between the dual problem and the original problem, the immediate power allocation algorithm can converge to the optimal solution.

The SA criterion in (7) is based on the fact that when the primal problem is convex, the duality gap between the dual problem and the primal problem is zero [11].

Finally, we consider the strong duality of problem (1.1); that is, there is no duality gap between the problem and the dual problem and has at least an optimal solution.

Here, we would like to study the dual problem between ({(mathrm{MP}_{mathrm{E}})}) and ({(mathrm{MD}_{mathrm{E}})}).

The main result of the paper establishes a rigorous equivalence between infeasibility of the primal problem and existence of a solution of the dual problem.

Given a primal problem (P), there are many ways to formulate the dual problem (DP) such that the weak and strong duality theorems hold true between the primal and dual pair of problems (P) and (DP).

This section is devoted to study the strong duality between the primal problem and its Toland dual, namely, the property that both optimal values coincide and the dual problem has at least an optimal solution.

The dual problem becomes.

The dual problem is (13).

Indeed, the dual variable λ in the dual problem (28).

We proceed to solve the dual problem.