Sentence examples for primal problems from inspiring English sources

The basic mathematical programming statement of the structural optimization problem is converted into a sequence of explicit approximate primal problems of separable form.

The explicit approximate primal problems are solved by constructing continuous explicit dual functions, which are maximized subject to simple non-negativity constraints on the dual variables.

This method alternates between DWD iterations and BD iterations, where DWD restricted master problems and BD primal problems yield a sequence of upper bounds, and BD relaxed master problems yield a sequence of lower bounds.

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

Lurie thinks he has found a neat "solution" to a primal problem.

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

We first derive a dual problem of the primal problem to demonstrate that there is no duality gap between them.

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.

This is especially relevant in inverse problems, when one needs to solve the partial differential equation (the primal problem) many times in an optimization algorithm.

We further develop a solution algorithm based on the Lagrangian decomposition for the primal problem and a space-time prism based method to reduce the solution search space.

In the framework, we did modify in the objects and conditions of primal problem to reproduce an appropriate learning rule for an observation sample.