资源描述：
《lingo编程练习题》由会员上传分享，免费在线阅读，更多相关内容在教育资源-天天文库。
1、一、编写lingo程序求解下列方程（组）1、symsx;>>x=solve(x==(cos(x)+sin(x))/4)x=0.315182442838735901956487060939832、>>symsx;>>x=solve(x==4-2^x)x=4-lambertw(0,16*log(2))/log(2)>>x=eval(x)x=1.3861669800714943、求方程在中的根的近似值．Matlab:symsx;>>y=x^3-2*x^2-4*x-7;>>x=eval(solve(y))x=3.632
2、0+0.0000i-0.8160-1.1232i-0.8160+1.1232iOR:symsx;>>a=[1,-2,-4,-7];>>x=roots(a)x=3.6320+0.0000i-0.8160+1.1232i-0.8160-1.1232iLingo:x^3-2*x^2-4*x-7=0;@bnd(3,x,4);Feasiblesolutionfound.Infeasibilities:0.5329071E-14Extendedsolversteps:520Totalsolveriterations:36V
3、ariableValueX3.631981Matlab:functiony=f(m,n)symsxxk;a=m;b=n;ff=x^3-2*x^2-4*x-7;whileb-a>0.00001xk=(a+b)/2;fx=subs(ff,x,xk);fa=subs(ff,x,a);iffx==0y=xk;break;elseiffa*fx<0b=xk;elsea=xk;endy=xk;endy=3.6319808959960944、symsx4;>>x4=solve(x4^2-3*x4-4==0,x4)x4=4-1
4、lingox1^2-3*x1-4=0;x2^2-3*x2-4=0;@free(x2);VariableValueX14.000000X2-1.000000205、symsx1x2x3x4;>>[x1,x2,x3,x4]=solve(2*x1+x2-x3+x4,3*x1-2*x2+x3-x4,x1+4*x2-3*x3+5*x4,x1,x2,x3,x4)x1=z/7x2=(5*z)/7x3=zx4=06、a=[5,2,1;-1,4,2;2,-3,10];>>b=[-12;20;3];>>x=inv(a)*bx=-4
5、.0000000000000003.0000000000000002.000000000000000二、编写lingo程序求解下列最优化问题1、4*x1-x2+2*x3-x4=-2;x1+x2-x3+2*x4<14;-2*x1+3*x2+x3-x4>2;@free(x4);Feasiblesolutionfound.Infeasibilities:0.000000Totalsolveriterations:220VariableValueX10.000000X21.000000X30.000000X41.000
6、0002、3、max=3*x1-x2;3*x1-x2<3;5*x1+4*x2>10;2*x1+x2<5;@gin(x1);@gin(x2);Globaloptimalsolutionfound.Objectivevalue:1.000000Objectivebound:1.000000Infeasibilities:0.000000Extendedsolversteps:0Totalsolveriterations:0VariableValueReducedCostX11.000000-3.000000X22.
7、0000001.0000004、205、min=3*x+7*x2-x3+x4;2*x1-x2+x3-x4>1;x1-x2+6*x3+4*x4>8;5*x1+3*x3+x4>5;@bin(x1);@bin(x2);@bin(x3);@bin(x4);Globaloptimalsolutionfound.Objectivevalue:0.000000Objectivebound:0.000000Infeasibilities:0.000000Extendedsolversteps:0Totalsolveritera
8、tions:0VariableValueReducedCostX0.0000003.000000X20.0000007.000000X31.000000-1.000000X41.0000001.000000X11.0000000.0000006、求图中点到各点的最短路（不可逆行）．2074v2v4v3v1v5v6v725324633421v8model:SETS:points/v1,v
