Sum Squares Function
The Sum Squares function, also referred to as the Axis Parallel Hyper-Ellipsoid function, has no local minimum except the global one. It is continuous, convex and unimodal. It is shown here in its two-dimensional form.
Input Domain:The function is usually evaluated on the hypercube xi ∈ [-10, 10], for all i = 1, …, d, although this may be restricted to the hypercube xi ∈ [-5.12, 5.12], for all i = 1, …, d.
Global Optimization Test Problems. Retrieved June 2013, from
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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