Rastrigin function

The Rastrigin function is a non-convex function from the field of mathematical optimization. The Rastrigin function was proposed in 1974 by Leonard A. Rastrigin as a two-dimensional function and generalized in 1991 by Heinz et al Mühlenbein to higher dimensions. It is used for performance analysis of optimization algorithms.

Definition

The Rastrigin function is by

Defined, with a constant dimension and is.

Use

The Rastrigin function is a typical example of a nonlinear multimodal function. It is used for performance analysis of optimization algorithms, where it represents a serious problem due to its large search space and the high number of local minima. Your global minimum is located at with.