Several filled functions with mitigators

Authors:
Xian Liu
Affiliations:
Dept. of Systems Engineering, University of Arkansas at Little Rock, 2801 South University Ave., Little Rock, AR
Venue:
Applied Mathematics and Computation
Year:
2002

Citing 7
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Abstract

Several filled functions were reported to seek the global minimum of multimodal functions of multiple variables. This paper proposes an alternative formulation that may reduce the negative definite effect of the Hessian of a filled function proposed before. Furthermore, a class of mitigators is defined and applied to improve the computational characteristics of filled functions. Results of numerical experiments on typical testing functions are also reported.