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Numerical Nonlinear Global Optimization -- NMinimize -- Nelder-Mead Method

I'm working on a sophisticated Numerical Nonlinear Global Optimization problem.
The problem is defined as a Least Square Error (i.e. LSE) System.
I'm using NMinimize with the Nelder-Mead Method.

Mathematica is providing the correct solution.
My inquiry is therefore informational.

Attached, I've provided the basic optimization algorithm.
You will not be able to execute the algorithm because there are a number of required packages.

I do not have enough information on or about what Mathematica is performing in the background.
Please have a look at the provided system and if you can comment on any issues, I would welcome your insights.

Is this a well and properly-structured NMinimize-Nelder-Mead System?
Or, did I just get lucky?

Regards,
Edward

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POSTED BY: Edward Newsome
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