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In this paper, we propose a new global optimization approach based on filled function method to solve box-constrained systems of nonlinear equations. The filled function method consists of two phases: local minimization and filling. The method iterates from one local minimum to a better one. In each iteration, we construct a filled function that attains strict local maximum at the current solution...
This paper presents a class of transformation function, the T-F function, for finding better minimizers in global optimization. We first give the definition of the T-F function and prove that under some general assumptions this proposed function posses the characters of both tunneling function and filled function. Then we design an algorithm based on T-F function. Last, we make a numerical test. The...
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