[1] Ge R P. A filled function method for finding a global minimizer of a function of several variables [J]. Mathematical Programming, 1990, 46: 191-204
[2] Ge R P, Qin Y F. The global convexized for global optimization [J]. Applied Mathematics and Computation, 1990, 35: 131-158.
[3] Lucidi S, Piccialli V. New classes of globally convexied filled function for global optimization [J]. Journal of Global Optimization, 2002, 24: 219-236.
[4] Liang Y M, Li M M, Chi D X. A filled function method with one parameter for global optimization [J]. 运筹学学报, 2009, 13(4): 101-108
[5] Lin Y J, Yang Y J. Filled function method for nonlinear equations [J]. Journal of Computational and Applied Mathematics, 2010, 234: 695-702
[6] Ma S Z, Yang Y J. A parameter free filled function for unconstrained global optimization [J]. Applied Mathematics and Computation, 2010, 215: 3610-3619.
[7] 李博,鲁殿军. 全局优化的问题的一个无参数的填充函数算法 [J]. Journal of Mathematics, 2014, 34: 110-119.
[8] Fletcher R, Leyffer S. Nonlinear programming without a penalty function [J]. Mathematics Programming, 2002, 91: 239-269.
[9] Fletcher R, Leyffer S, Toint P L. On the global convergence of a filter-SQP algorithm [J]. SIAMJ Optimization, 2002, 13: 44-59.
[10] Fletcher R, Leyffer S, Gould N I M, et al. Global convergence of a trust region SQP-filter algorithm for general nonlinear programming [J]. SIAMJ Optimization, 2002, 13: 635-660.
[11] Zhang L S, Ng C K, Li D. A new filled function method for global optimization [J]. Journal of Global Optimization, 2004, 28: 17-43.
[12] Yang Y J, Shang Y L. A new filled function method for unconstrained global optimization [J]. Applied Mathematics and Computation, 2006, 173: 501-512.
[13] Shang Y L, Zhang L S. A filled function method for finding a global minimization on global integer optimization [J]. Journal of Computational and Applied Mathematics, 2005, 181: 200-210.
[14] 张笑杉. 求解非线性规划问题的滤子填充函数放法 [D]. 上海:华东理工大学, 2015, 19-21.
[15] 梁玉梅. 非线性全局优化的填充函数算法 [D]. 上海:上海大学, 2006, 99-103. |