Xu, Zheng; Huang, Hong-Xuan; Pardalos, Panos M.; Xu, Cheng-Xian Filled functions for unconstrained global optimization. (English) Zbl 1049.90092 J. Glob. Optim. 20, No. 1, 49-65 (2001). Summary: This paper is concerned with filled function techniques for unconstrained global minimization of a continuous function of several variables. More general forms of filled functions are presented for smooth and non-smooth optimization problems. These functions have either one or two adjustable parameters. Conditions on functions and on the values of parameters are given so that the constructed functions have the desired properties of filled functions. Cited in 57 Documents MSC: 90C30 Nonlinear programming 90C26 Nonconvex programming, global optimization Keywords:Global optimization, Local minimizer, Filled function, Basin, Hill PDFBibTeX XMLCite \textit{Z. Xu} et al., J. Glob. Optim. 20, No. 1, 49--65 (2001; Zbl 1049.90092) Full Text: DOI