An elementary proof that real roots nonexistence of nonlinear equations and its optimal solutions

摘要：

　　In this paper,we give an elementary proof that the real roots nonexistence of nonlinear equation such as: xn+yn+zn=n,where n =1,2,3,(x,y,z)∈ by contradiction.Thus,when n takes all positive integers between 4 and 1981,the value of function f= xn+yn+zn based on the exact solution of the above equations is still real.Finally,numerical experiments presents a set of approximate numerical solutions by using standard genetic algorithm(SGA),adaptive particle swarm optimization algorithm(APSO)and artificial fish swarm algorithm(AFSA).

作者: Lanyou Li Jingui Lu Jianhong Chen

作者单位: School of Mechanical and Power Engineering,Nanjing Tech University,Nanjing Jiangsu 211800,China;Offi School of Mechanical and Power Engineering,Nanjing Tech University,Nanjing Jiangsu 211800,China Office of Information Construction and Management,Nanjing Institute of Technology,Nanjing Jiangsu 21

会议类型: 国际会议

会议名称: 2018年建筑、航空与环境工程国际学术论坛-物联网(IFCAE-IOT 2018)2018 International Forum on Construction, Aviation and Environmental Engineering-Internet of Things(IFCAE-IOT 2018)

会议地点: 广州

会议语种:英文

页码: 1-5

在线出版日期: 2018-05-11（万方平台首次上网日期，不代表论文的发表时间）