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We prove that the solution of an appropriate optimization problem leads to such an interpolant.
The effectiveness of the new methodology, which requires the numerical solution of an appropriate optimization problem, is highlighted by a worked example.
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The latter requires a clear definition of predominant aims of the inventory and an appropriate optimization method.
This is done using an approximated solution of the problem and an appropriate optimization algorithm.
For this purpose, this paper presents an appropriate optimization scheme of minimization of the maximal absolute bending moment in a planar frame by means of the optimal design of the support positions.
The problem is now overdetermined but can be solved using an appropriate optimization.
The best performance of the algorithms requires the use of appropriate optimization and parallelization approaches throughout all process of their design.
Here, the design of the controller is transformed into a convex optimization problem, which is tackled by means of the appropriate optimization method.
However, this specific optimization problem, with hundreds of design variables, limited design space and often conflicting objectives, makes the choice of the appropriate optimization method really difficult.
In Section 5, we establish two Lagrange multiplier theorems which show that tightly properly efficient solution of the constrained vector optimization problem is equivalent to tightly properly efficient solution of an appropriate unconstrained vector optimization problem.
In this section, we establish two Lagrange multiplier theorems which show that tightly properly efficient solution of the constrained vector optimization problem (VP), is equivalent to tightly properly efficient solution of an appropriate unconstrained vector optimization problem.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com