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Filled functions for unconstrained global optimization
Authors:Xu Zheng  Xu Chengxian
Institution:(1) Faculty of Electrical Engineering, Xi’an Jiaotong Univ., 710049 Xi’an;(2) Faculty of Sciences, Xi’an Jiaotong Univ., 710049 Xi’an
Abstract:The paper is concerned with the filled functions for global optimization of a continuous function of several variables.More general forms of filled functions are presented for smooth and nonsmooth optimizations.These functions have either two adjustable parameters or one adjustable parameter.Conditions on functions and on the values of parameters are given so that the constructed functions are desired filled functions.
Keywords:Global optimization  filled function  nonsmooth optimization  basin  
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