Shekel function
Shekel function is a multidimensional, multimodal, continuous, deterministic function commonly used as a test function for testing optimization techniques.
The mathematical form of a function in dimensions with maxima is:
or, similarly,
![](http://upload.wikimedia.org/wikipedia/commons/thumb/e/ed/Shekel_2D.jpg/400px-Shekel_2D.jpg)
A Shekel function in 2 dimensions and with 10 maxima
Global minima[]
Numerically certified global minima and the corresponding solutions were obtained using interval methods for up to .[1]
References[]
Shekel, J. 1971. "Test Functions for Multimodal Search Techniques." Fifth Annual Princeton Conference on Information Science and Systems.
- ^ Vanaret C. (2015) Hybridization of interval methods and evolutionary algorithms for solving difficult optimization problems. PhD thesis. Ecole Nationale de l'Aviation Civile. Institut National Polytechnique de Toulouse, France.
See also[]
Categories:
- Mathematical optimization
- Functions and mappings
- Mathematical analysis stubs
- Applied mathematics stubs