# Shekel function

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The **Shekel function** or also **Shekel's foxholes** is a multidimensional, multimodal, continuous, deterministic function commonly used as a test function for testing optimization techniques.^{[1]}

The mathematical form of a function in dimensions with maxima is:

or, similarly,

## Global minima

[edit]Numerically certified global minima and the corresponding solutions were obtained using interval methods for up to .^{[2]}

## See also

[edit]## References

[edit]**^**Molga, M.; Smutnicki, C. (2005). "Test functions for optimization needs. Test functions for optimization needs" (PDF).*Test Functions for Optimization Needs*.**101**: 48.**^**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.

## Further reading

[edit]Shekel, J. 1971. "Test Functions for Multimodal Search Techniques." *Fifth Annual Princeton Conference on Information Science and Systems*.