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 ...
The Sum of Different Powers function is unimodal. It is shown here in its two-dimensional form. Molga, M., & Smutnicki, C. Test functions for optimization needs (2005 ...
The main purpose is to indicate how badly the sum of a continuous function with a Darboux function can fail to be a Darboux function. Journal Information This monthly journal, begun in 1950, is ...