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Sim<- function(alpha=1,beta=0.5,gamma=2,epsilon=200) { Funk<-function(x1,x2) 100*(x2-x1^2)^2+(1-x1)^2 P1=c(2,1)# ³õÆÚµã P2=c(9,2) P3=c(1,5) Dim1 <- 3 #µãµÄÊý Q<-P<- matrix(c(P1,P2,P3),ncol=3,nrow=2) y<-0 for(i in 1:dim1) y<-funk(P[1,i],(P[2,j])) y<-sort(y) for(i in 1:dim1) for(j in 1:dim1) if(y==funk(P[1,j],P[2,j])) Q[,i] <-P[,j] for(i in 1:dim1){ if(y==funk(Q[1,dim1],Q[2,dim1])){ xh=c(Q[1,dim1],Q[2,dim1]) } else if(y==funk(Q[1,1],Q[2,1])){ x1=c(Q[1,1],Q[2,1]) }else if(y !=funk(Q[1,dim1],Q[2,dim1])&& y !=funk(Q[1,1],Q[2.1])){ xs=c(Q[1,i],Q[2,i]) } } x0<-0 p<-q<-seq(-5,5,length=100) r<-outer(p,q,funk) contour(p,q,r,labels=¡±¡±) par(new=T) #stop condition z<-y for(i in 1:dim1) z=(y-(1/dim1)*sum(y))^2 for(v in 1£º100){ segments(xh[1],xh[2],xl[1],xl[2]) segments(xs[1],xs[2],xl[1],xl[2]) segments(xs[1],xs[2],xh[1],xh[2]) if((1/dim1*sum(z))^(1/2) < epsilon) break #Í£Ö¹Ìõ¼þ x0<-(xs+xl)/2 #Reflcetion xr=(1+alpha)*x0-alpha*xh if(funk(xr[1],xr[2]) <=funk(xs[1],xs[2])){ if(funk(xr[1],xr[2]) if(funk(xe[1],xe[2]) } else if(funk(xe[1],xe[2]) } } else if(funk(xr[1],xr[2]) >=funk(xl[1],xl[2])){ xh <-xr } } else if(funk(xr[1],xr[2]) >funk(xs[1],xs[2])){ if(funk(xr[1],xr[2]) } xc=beta * xr + (1-beta)* x0 #contraction if(funk(xc[1],xc[2]) < funk(xh[1],xh[2])){ xh<-xc }else if(funk(xc[1],xc[2]) >=funk(xh[1],xh[2])){ xh <- 1/2(xh+xl) xs <- 1/2(xs+xl) } } } return(xh) } |
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