目录第1章选择方法及思路.............................11.1概述...................................................................................................................................1..1.1.11.优化设计......................................................................................................1.1.21优化设计的
思想
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....................................................................................................1.1.31优化设计的步骤....................................................................................................1.2优化设计的方法...................................................................................................................................1.1.2.1分类.....................................................................................................................1.1.2.22常用的优化方法....................................................................................................第2章阻尼牛顿法计算应.用........................42.1阻尼牛顿法的计算步骤..................................................42.25阻尼牛顿法的程序框图..............................................................................................................2.3实例解析...................................................................................................................................5.2.46阻尼牛顿法的程序编程..............................................................................................................39第章
总结
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................................................................................................................11.11.1.11.1.2,,,.,,.,,,1.1.2123451.21.2.11122123124121.2.211210.6181:??=?（?1:??）?2f（x）f（x）0.61821nX=[x1,x2,⋯xn]Tminf(X)XX*,minf(X)=f(X*)X*f(X*)2(Powell)1)2)An×nnS1S2S1TAS2=0S1S2A3)(Powell)(Powell)4)n5)6)f(X)X(k)ψ(X)ψ(X)Xψ*X(k+1)22.11)x0k02)f(xk)2f(xk)(2f(xk))1dk(2f(xk))1f(xk)3)xk1xkdkkkkd4)xk1xxxkk1n22.22-12.3（）4x2x2fx1,x2x1212x03,0T4(x2)+2(x32x)10f(x0)1128x4x2112x0212x248x50)41442f(x0)114848x02f(x0)1448124112124721247484848511210x112412811f(x)036x131x031816234(x2)3+2(x2x)f(x1)11229791x81413128112(x422)97921x)111219216231f(x)1f(x1)1.940.97274362979147552.4x1882.37712389//.cpp:Definestheentrypointfortheconsoleapplication.#incxl2ude2
010.4082x#include#include#includedoublefun1(doubleq1,doubleq2){return(pow((q1-2),4)+pow((q1-2*q2),2));//f(x1,x2)=(x1-2)*(x1-2)*(x1-2)*(x1-2)+(x1-2*x2)*(x1-2*x2)}doublefun2(doubleg,doublex,doubley,doubler1,doubler2){return(pow((x+g*y-2),4)+pow((x+g*y-2*(r1+g*r2)),2));//}voidmain(){doubleA[2][1],B[2][2],C[2][1],D[2][1],X[2][1];doubleE[2][1]={4,3};//x0intt=0,i=0,j=0;doubleE0,x1,x2,x3,h(0.1);doubley1,y2,y3,m;doublea,b,k=0.618,a1,a2,f1,f2;printf("");//std::cin>>E0;do{D[0][0]=E[0][0];D[1][0]=E[1][0];A[0][0]=4*(D[0][0]-2)*(D[0][0]-2)*(D[0][0]-2)+2*D[0][0]-4*D[1][0];A[1][0]=-4*(D[0][0]-2*D[1][0]);//A[0][0],A[1][0]B[0][0]=1.0/(12.0*(D[0][0]-2)*(D[0][0]-2));B[0][1]=1.0/(24.0*(D[0][0]-2)*(D[0][0]-2));B[1][0]=1.0/(24.0*(D[0][0]-2)*(D[0][0]-2));B[1][1]=(6.0*(D[0][0]-2)*(D[0][0]-2)+1)/(48.0*(D[0][0]-2)*(D[0][0]-2));//B[0][0],B[0][1],B[1][0],B[1][1]C[0][0]=-(B[0][0]*A[0][0]+B[0][1]*A[1][0]);C[1][0]=-(B[1][0]*A[0][0]+B[1][1]*A[1][0]);//C[0][0],C[1][0]dk//2x1=0;x2=x1+h;y1=fun2(x1,D[0][0],C[0][0],D[1][0],C[1][0]);y2=fun2(x2,D[0][0],C[0][0],D[1][0],C[1][0]);if(y2>y1){h=-h;x3=x1,y3=y1;x1=x2,y1=y2;x2=x3,y2=y3;}x3=x2+h;y3=fun2(x3,D[0][0],C[0][0],D[1][0],C[1][0]);while(y3=f2){a=a1;a1=a2;f1=f2;a2=a+k*(b-a);f2=fun2(a2,D[0][0],C[0][0],D[1][0],C[1][0]);}else{b=a2;a2=a1;f2=f1;a1=b-k*(b-a);f1=fun2(a1,D[0][0],C[0][0],D[1][0],C[1][0]);}j++;}while(fabs((b-a)/b)>=E0&&fabs((f2-f1)/f2)>=E0);m=0.5*(a+b);//mE[0][0]=D[0][0]+m*C[0][0];E[1][0]=D[1][0]+m*C[1][0];printf("%d%15f10%15f10\n",t,E[0][0],E[1][0],fun1(E[0][0],E[1][0]));t++;}while(fabs(E[0][0]-D[0][0])>=E0&&fabs(E[1][0]-D[1][0])>=E0);X[0][0]=E[0][0];X[1][0]=E[1][0];printf("%d\n",t);printf("(x1,x2)=(%f10,%f10)\n",X[0][0],X[1][0]);printf("f(x1,x2)=%f10\n",fun1(X[0][0],X[1][0]));1.940.973
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