A reminder of numerical optimization
Multidisciplinary Optimization. Application to Aerospace System Design

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TRP4070 V1 Article

A reminder of numerical optimization
Multidisciplinary Optimization. Application to Aerospace System Design

Authors : Mathieu BALESDENT, Loïc BRÉVAULT

Publication date: March 10, 2025 | Lire en français

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1. A reminder of numerical optimization

One of the building blocks of CADD is numerical optimization. In this section, a general reminder of how to formulate an optimization problem is given, along with the associated notations. Various optimization algorithms are also described (gradient-based methods, population methods, etc.).

1.1 Formulating an optimization problem

A generic optimization problem can be formulated as follows:

minimiserf(x)parrapport
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