Exact(43)
The formulation is cast as a mathematical programming problem, involving so-called "complementarity" constraints.
Duality theory is used to form complementarity constraints to improve the computational tractability.
However, in problem (4) there are also inequality constraints and linear complementarity constraints.
To overcome this difficulty, various relaxation approaches have been proposed to deal with the complementarity constraints.
By duality theory, expressions (23) can be transformed into the following set of complementarity constraints [34].
The problem is formulated as a single-level mathematical program with complementarity constraints (MPCC).
Similar(17)
We temporarily disregard the reverse complementarity matching constraints.
If a position is constrained by a specific nucleotide, e.g. C i seq = U, and also part of an explicitly requested base pair (i, j ) ∈ C str, we derive an implicit complementarity sequence constraint for the pairing partner, in our example C j seq ∈ { A, G }.
If the lower level problem of BP is replaced by its KKT condition, this is a mathematical program with a second-order cone complementarity problem among the constraints [3].
And the necessary optimality conditions for problem (1) are given under the strict complementarity and linear independence constraint qualification assumptions.
In this subsection, we discuss the optimization conditions for problem (20) under strict complementarity and linear independence constraint qualification assumptions.
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