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Conceptual framework is laid out of a deterministic program capable ofobtaining optimum solutions with or without constraints for any reasonablybehaved analytical system. Recipe implementable as a well-behaved Runge-Kuttaprocedure is given. Determinism means no inspired initial guesses or randomnumber trials. The program follows well-defined steps between well-definedstart and end points, to a large extent configuration independent. This programis also conjectured to lead to global optimum solutions based on evidence,short of a proof. Application to realistic problems is given as example.

A Deterministic Program for Obtaining Optima under Constraints for Any Analytical System