一类新的无参数填充函数及其在最小二乘法中的应用  

A New Type of Non-Parameter Filled Function and Its Application in Least Squares

作　　者：李玉龙 王胜刚[2] 张莹 谢笑盈 

机构地区：[1]浙江师范大学,数学与计算机科学学院,浙江金华 [2]金华职业技术学院,农业与生物工程学院,浙江金华 [3]浙江师范大学,经济与管理学院,浙江金华

出　　处：《应用数学进展》2019年第4期753-761,共9页Advances in Applied Mathematics

基　　金：浙江省科技厅资助项目(LGN19C040001);浙江省教育厅科研项目(Y201636028);国家社科基金资助项目(17BTJ028)。

摘　　要：针对一般约束优化问题,本文提出了一类新的无参数填充函数,分析该函数的理论性质并设计算法,利用Python编程语言进行数值实验并且与前人结果进行比较,表明该填充函数算法不仅是有效的而且在处理某些函数时效果更好。进一步地,尝试将该算法与化学实验酶促反应的反应速度和反应浓度关系的处理结合,实验结果表明该算法在实际应用中也有较好的适应性。In this paper,a novel non-parameter filled function for solving general constrained global optimi-zation problem is proposed.Then the theoretical properties of the function are argued and corre-sponding algorithm is given in this paper.Numerical experiments using the Python programming language and comparison with previous results show that the proposed filled function algorithm is not only effective but also works better when dealing with certain function.Furthermore,the algorithm is tentatively combined with the treatment of the reaction rate and reactant concentra-tion of the enzymatic reaction of chemical experiments,indicating that the algorithm also has good adaptability in practical cases.

关 键 词：全局优化 无参数填充函数 酶促反应 最小二乘 

分 类 号：TP39[自动化与计算机技术—计算机应用技术]