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Interesting problem. IMO, it's a best practice to write the objective function and all the constraints as a function of one (vectorial) ...
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For your first question, you can optimize as many parameters. You simply need to pass in a list array as an initial guess to your function.
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SciPy is an open-source Python library dedicated to scientific computation. The optimize package in SciPy provides several common optimization algorithms ...
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See doucmentation for the basinhopping algorithm, which also works with multivariate scalar optimization. from scipy.optimize import basinhopping x0 = 0 sol ...
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