黄金分割法机械优化设计C语言程序

1、cheng黄金分割法的优化设计实验报告学院：机电工程机制自动化1103班学号:541102010326姓名：刘点点cheng1,黄金分割法的程序流程图2,对应流程图的C语言程序下面应用C语言程序利用黄金分割法求一元函数F=x-2+2*x的最优解，已知初始区间为 -3,5，取收敛精度e=10-4oC语言程序如下：#mclude<stdio.h># mclude<math.h> #define f(x) pow(x,2)+2*x#define M 0.618void main()double yl,y2,xl,x2.xab,e;int n;n=l；pnntf(”请输入收敛精

2、度e=”)；scanf(H%lf&e);pnntf(”请输入区间左值a=”)；scanf(H%lf&a);printf(”请输入区间右值b=”)；scanf(H%lf&b);v2nM);%41fn” jiab,x I ,x2,y 1，y2);piiiirfpii a b xl x2 ylxl=b-M*(b-a);x2=a+M*(b-a);yi=f(xi)；y2=f(x2);pnntff%d %.41f %.41f %.41f %.41f %.41f11=11+;doif(yi<v2)b=x2;x2=xl;v2=yi;xl=b-M*(b-a);vl=f(xl);pr

3、mtf(M%d %.41f %.41f %.41f %.41f %.41f %.41fuiHAa,b,x 1 ,x2,y 1 ,y2);n=n+;elsea=xl;xl=x2;yl=y2;x2=a+M*(b-a);y2=f(x2);prmtf(n%d %.41f %.41f %.41f %.41f %.41f %41faT，n,abxXx2,yl,y2);ll=ll+-r；wliile(fabs(b-a)/b)>=e&&fabs(y2 -y 1 )/v2)>=e);x=(a+b)*0.5;pnntfpx=% 51fiT；x);getchai();3运行结果:青揃人收

4、敛精Me =0.00011abxlx2ylL-3.00005.00000-05601.94400.11517.6G712-3.00001.9440-1.11140.0560-0.98760.11515-3.00000.0560-1-8326-1.1114-0.3068-0.98761-1-83260.0560-1.1114-0.6654-0,9876-0.8881-1.8326-0.6654-1.3868-1.1114-0.8504-0.98763-1.3868-0.6654-1.1114-0.9410-0.9876-0.99657-1.11146654-0.9410-0.8358-0 9965-0.9730-1.1114-0.8358-1.0061-0.9410-1.0000-0.9965-1.1114-0.9410-1.0463-1.0061-0.9979-10000L0-1.0463-0.9410l -1.0061-0.9812-1.0000-0.9996LI-1.0463-0-9812-1.0214-1.0061-0.9995-1.0000L2-1.0214-0-9812-1.0061-0.9966-1-0000-1.0000k=-l.00133Press any J<ey to continue假定经十二次迭代后已满足收敛精度要求，则得x*=l/2(a+