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[x,y]=meshgrid(-2:0.1:2,-1:0.1:3); z=100*(y-x.^2).^2+(1-x).^2; mesh(x,y,z)

function f=fun2(x) f=100*(x(2)-x(1)^2)^2+(1-x(1))^2

[x,y]=meshgrid(-2:0.1:2,-1:0.1:3); z=100*(y-x.^2).^2+(1-x).^2; contour(x,y,z,20) hold on plot(-1.2,2,' o '); text(-1.2,2,'start point') plot(1,1,'o') text

Function f = fun3(x) y1=((100-x(1)- 0.1*x(2))-(30*exp(-0.015*x(1))+20))*x(1); y2=((280-0.2*x(1)- 2*x(2))-(100*exp(-0.02*x(2))+30))*x(2); f=-y1-y2;

oldoptions=optimset('fminunc') options=optimset(oldoptions,'LargeScale','off') options11=optimset(options,'HessUpdate','dfp') [x11,fval11,exitflag11,outp

f='100*(x(2)-x(1)^2)^2+(1-x(1))^2'; [x,fval,exitflag,output]=fminsearch(f, [-1.2 2])

function f = fun(x) f=-((100-x(1)- 0.1*x(2))-(30*exp(-0.015*x(1))+20))*x(1)-((280-0.2*x(1)- 2*x(2))-(100*exp(-0.02*x(2))+30))*x(2)

clear x0=[50,70]; x=fminunc('fun',x0) z=-fun(x)

a=[0 3 inf inf inf inf inf;3 0 2 inf 18 2.5 inf;... inf 2 0 6 2 inf inf;inf inf 6 0 3 inf inf;... inf 18 2 3 0 4 inf;inf 2.5 inf inf 4 0 1.5;... inf inf inf inf inf 1.5 0]; [D,R]

function[D,R]=floyd(a) n=size(a,1); D=a for i=1:n for j=1:n R(i,j)=j; end end R for k=1:n for i=1:n for j=1:n if D(i,k)+D(k,j)