[R] Need Iteration and convergence in R

[mithunum]

I want to iterate the program until it converge? can anybody help me? I just
write it manual, but i need to generalize it
so that simulation can stop if the difference between two iteration is less
than 0.0001.  
 The following are the program :

rm(list=ls(all=T))

x=rnorm(50,2,0.7)
y=rnorm(50,3,0.3)
beta=0.80
n=length(x)
alpha=mean(y)-beta*mean(x)
###initail value
indel=sum((x-mean(x))^2)/(n)
inep=sum((y-mean(y))^2)/(n)
indel
inep
inXhat=((x/indel)+(beta/inep)*(y-alpha))/((1/indel)+(beta^2/inep))
del1=sum((x-inXhat)^2)/(n)
ep1=sum((y-alpha-beta*inXhat)^2)/(n)
del1
ep1

## 1st iteration

Xhat1=((x/del1)+(beta/ep1)*(y-alpha))/((1/del1)+(beta^2/ep1))
del2=sum((x-Xhat1)^2)/(n)
ep2=sum((y-alpha-beta*Xhat1)^2)/(n)
del2
ep2

abs(del2-del1)
abs(ep2-ep1)

## 2nd Iteration

Xhat2=((x/del2)+(beta/ep2)*(y-alpha))/((1/del2)+(beta^2/ep2))
del3=sum((x-Xhat2)^2)/(n)
ep3=sum((y-alpha-beta*Xhat2)^2)/(n)
del3
ep3

abs(del3-del2)
abs(ep3-ep2)



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