一个新的无参数填充函数及其在最小二乘法中的应用(英文)

作者:李硕; 尚有林*; 屈德强
来源:数学季刊, 2021, 36(03): 263-274.
DOI:10.13371/j.cnki.chin.q.j.m.2021.03.005

摘要

The filled function algorithm is an important method to solve global optimization problems. In this paper, a parameter-free filled function is proposed for solving general global optimization problem, discuss the theoretical properties of this function and give the corresponding algorithm. The numerical experiments on some typical test problems using the algorithm and the numerical results show that the algorithm is effective. Applying the filled function method to the parameter solving problem in the logical population growth model, and then can be effectively applied to Chinese population prediction. The experimental results show that the algorithm has good practicability in practical application.