Shang, You-Lin; Pu, Ding-Guo; Jiang, Ai-Ping Finding global minimizer with one-parameter filled function on unconstrained global optimization. (English) Zbl 1193.90174 Appl. Math. Comput. 191, No. 1, 176-182 (2007). Summary: A filled function with one-parameter is proposed for solving unconstrained global optimization problems. This filled function is modified from the previously reported one [Y. J. Yang and Y. L. Shang, Appl. Math. Comput. 173, 501–512 (2006; Zbl 1094.65063)]. The properties of the filled function are discussed in this paper. An algorithm for unconstrained global optimization is developed from this new filled function. The computational results show that this algorithm is efficient and reliable. Cited in 1 ReviewCited in 11 Documents MSC: 90C26 Nonconvex programming, global optimization 65K10 Numerical optimization and variational techniques Keywords:filled function; unconstrained global optimization; local minimizer; global minimizer Citations:Zbl 1094.65063 PDFBibTeX XMLCite \textit{Y.-L. Shang} et al., Appl. Math. Comput. 191, No. 1, 176--182 (2007; Zbl 1193.90174) Full Text: DOI References: [1] Yang, Y. J.; Shang, Y. L., A new filled function method for unconstrained global optimization, Applied Mathematics and Computation, 173, 1, 501-512 (2006) · Zbl 1094.65063 [2] Ge, R. P., A filled function method for finding a global minimizer of a function of several variables, Mathematical Programming, 46, 191-204 (1990) · Zbl 0694.90083 [3] Ge, R. P.; Qin, Y. F., The global convexized filled functions for globally optimization, Applied Mathematics and Computations, 35, 131-158 (1990) · Zbl 0752.65052 [4] Xu, Z.; Huang, H. X.; Pardalos, P. M.; Xu, C. X., filled functions for unconstrained global optimization, Journal of Global Optimization, 20, 49-65 (2001) · Zbl 1049.90092 [5] Liu, X., Finding global minima with a computable filled function, Journal of Global Optimization, 19, 151-161 (2001) · Zbl 1033.90088 [6] Liu, X., A class of generalized filled functions with improved computability, Journal of Computational and Applied Mathematics, 135, 62-69 (2001) · Zbl 0990.65066 [7] Zhang, L. S.; Ng, C.; Li, D.; Tian, W. W., A new filled function method for global optimization, Journal of Global optimization, 28, 17-43 (2004) · Zbl 1061.90109 [8] Shang, Y. L.; Zhang, L. S., A filled function method for finding a global minimizer on global integer optimization, Journal of computational and Applied Mathematics, 181, 1, 200-210 (2005) · Zbl 1078.65054 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.