Liu, Huaqun; Wang, Pan; Han, Boshun A new class of filled functions for global optimization. (Chinese. English summary) Zbl 1240.90388 Commun. Appl. Math. Comput. 24, No. 1, 53-60 (2010). Summary: The filled function method is an effective approach to find the global minimum of a multidimensional function. In this paper, we firstly study existing filled functions, then propose a new class of filled functions, and design an algorithm. Numerical experiments on several test problems demonstrate the applicability and efficiency of the proposed method. MSC: 90C30 Nonlinear programming 90C26 Nonconvex programming, global optimization 65K05 Numerical mathematical programming methods Keywords:filled function; global optimization; minimization PDFBibTeX XMLCite \textit{H. Liu} et al., Commun. Appl. Math. Comput. 24, No. 1, 53--60 (2010; Zbl 1240.90388)