Sentence examples for the primal problems from inspiring English sources

Both algorithms can converge to a stationary point of the primal problems.

In the primal problem the objective is replaced by the product (px) of a vector x = (x1, x2, x3, …, xn T, whose components are the objective variables and where the superscript "transpose" symbol indicates that the vector should be written vertically, and another vector p = (p1, p2, p3, …, pn), whose components are the coefficients of each of the objective variables.

thus obtaining a solution to the primal problem (9) accordingly.

We can formulate the primal problem (PP) as follows: (1).

As the primal problem is a convex optimization problem, there is no gap between the primal and dual problems.

We denote the optimal duality gap of the primal problem by the difference o p t ∗−d ∗.

First, we transform the primal problem (9) to its corresponding dual problem via its Lagrangian.

This represents the primal problem and provides a kinematic description of the collapse state.

Hence, the primal problem in (5) is equivalent with the following optimization problem.

Therefore, the primal problem can be solved by its dual problem.

This has to be contrasted with the infinite dimensionality of the primal problem.