Downhill simplex minimization

Another interesting implementation of simulated annealing for continuous minimization (like a typical parameter estimation problem) utilizes a modification of the downhill simplex method. Press et al. (1992) provide a brief overview of simulated annealing techniques accompanied with listings of computer programs that cover all the above cases. 

For the inverse problem of calculating EPIs from measured SRO parameters, one has to repeat the MC simulations while systematically varying a test set of EPIs. This can be done via a simplex downhill algorithm (or any other systematic search approach) [84, 85]. The inverse problem is considered solved once a set of EPIs yields SRO parameters that sufficiently agree with the experiment, for example, by minimizing the function... 

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