The Sum Squares function

The Sum Squares function is as shown here:

Sum Squares function

Description

Dimensions: d
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 xi ∈ [-10, 10] hypercube, for all i = 1, …, d, although this may be restricted to the xi ∈ [-5.12, 5.12] hypercube, for all i = 1, …, d.

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