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It usually contains a logarithmic barrier function and the Newton method for minimization without constraints [21].
The proposed approach is based on the weak solution theory for parabolic PDEs and the adjoint problem method for minimization of the corresponding cost functional.
Using the same distance, we give a notion of a boundary trace, which allows to use the direct method for minimization problems on weak bundles with fixed trace.
For this purpose, this paper presents a heuristic optimization algorithm, called the evolutionary shift method, for minimization of the maximum bending moment by virtue of the structural shape or geometry optimization.
Briefly, this technique fits a cosine function of a fixed anticipated period to the data and approximates the following equation to experimental data, using the least squares method for minimization: Y t = M + A * cos 2 π / TAU * t + Φ (1).
Continuing the series of papers with description of the fundamentals of the Route Theory for satellite constellation design, the general method for minimization of the satellite swath width required under given constraint on the maximum revisit time (MRT), the main quality characteristic of the satellite constellation discontinuous coverage, is presented.
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In this paper, we propose numerical methods for minimization problems constrained to S1 and S2.
In these cases, the estimation of the model parameters comprises numerical iterative methods for minimization of the objective function.
There are various methods for minimization of (text {PICR}(mathcal {C}_{v}, epsilon)) in the literature, but they can only guarantee convergence to a local minima.
Classical methods for minimization of the objective function, like the Newton method, requires a good initial guess for all parameters and differentiation of the objective function and/or model equations with respect to the model parameters.
The method selected for minimization was First Order Conditional Estimation method with Interaction (FOCEI) [29].
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