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Fig. 4 Reflection, expansion, outside contraction, and inside contraction of a simplex by the Nelder-Mead method Fig. 5 Shrinking a simplex by the Nelder-Mead method.
Refinement of the unit simplex by iterative longest edge bisection (LEB) up to sub-simplices have a size smaller or equal to a given accuracy, generates a binary tree.
The branch-and-bound algorithm computes the largest simplex by using lower and upper bounds on the radius of the inscribed ball, by which the computation time is reduced by a factor of five in comparison with the brute-force search.
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