Abstract
In this paper we consider the problem for finding the global minimum value of a continuous function over Rn. We show that, under a growth condition, the objective function which is non-smooth in general has a global minimizer on a closed ball. We pose a nonlinear diffusion equation concerning the optimization problem. A quasi-extremal flow is defined and constructed by the diffusion equation for an approximation to the minimum value of the global optimization problem. Several examples are presented to illustrate this computational approach.
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