Virtual Library of Simulation Experiments:

Optimization Test Problems

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Rotated Hyper-Ellipsoid Function

Description:

Dimensions: d

The Rotated Hyper-Ellipsoid function is continuous, convex and unimodal. It is an extension of the Axis Parallel Hyper-Ellipsoid function, also referred to as the Sum Squares function. The plot shows its two-dimensional form.

Input Domain:

The function is usually evaluated on the hypercube x_i ∈ [-65.536, 65.536], for all i = 1, …, d.

Global Minimum:

Code:

Reference:

Molga, M., & Smutnicki, C. Test functions for optimization needs (2005). Retrieved June 2013, from http://www.zsd.ict.pwr.wroc.pl/files/docs/functions.pdf.

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For questions or comments, please email Derek Bingham at: dbingham@stat.sfu.ca.