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Solving a constrained problem is generally difficult.
(Unconstrained transformation of a constrained problem).
A constrained problem is defined as { min F X s. t.
The optimization problem (4) is a constrained problem with a highly nonlinear objective function.
This turns to a constrained problem as minlimits_{u}int_{Omega}left[|d|+frac{1}{2lambda}left(,f-u-vright)^{2}right]dx.
In the multi-objective approach to constraint-handling, a constrained problem is transformed into an unconstrained one by defining additional optimization criteria to account for the problem constraints.
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Our model considers the more specific problem of gene neighborhoods on chromosomes, but generalizes (Patro et al., 2011)'s method in that it handles an arbitrary number of species and provides an exact solution to a less constrained problem.
An augmented Lagrangian method is proposed to address this optimization issue by first transforming the unconstrained problem to an equivalent constrained problem and then applying an alternating direction method to iteratively solve the subproblems.
The AL-related methods usually employ the operator splitting first to transform the original unconstrained minimization problem to an equivalent constrained problem, and then the alternating-minimization strategy is used to iteratively find solutions of the subproblems.
A parabolic interpolation method is used to solve a non-linear constrained problem, which forms the part of the algorithm.
In this paper, we formulate the soft-landing problem as a constrained control problem.
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CEO of Professional Science Editing for Scientists @ prosciediting.com