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Two new classes of filled functions. (English) Zbl 1053.90120
Summary: The filled function method is an effective approach to find the global minimizer. Two of the recently proposed filled functions are \(L(X)\) and \(L_2(X)\). Having observed that the second term in \(L(X)\) or \(L_2(X)\) may result in undesirable computational behaviors, in this paper we propose a new function \(L_3(X)\). Having also realized that the essence of the mitigation is to eliminate the discontinuity, we propose another new function \(L_4(X)\). Both theoretical analysis and numerical testing results are presented.

MSC:
90C30 Nonlinear programming
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