Vectorization with a loop and repmat

i would like to vectoralize the following codes with loop;

n=5;
k=3;
x=(k:n)';
m=[];
for i = 1 : (n-k+1)
  m=[m,x];
  x=circshift(x,-1);
end

example;

k=3, n=5 
3 4 5,
4 5 3,
5 3 4

please help me out

Answer 1

[Michael Haderlein]

That sounds like a nice cody task ;-) I'm sure there are dozens of solution, so my suggestion is:

m=k+mod(bsxfun(@(x,y) y+x,(0:n-k)',0:n-k),n-k+1);

[yoshiyuki]

Michael Thanks a lot for your elegant answer!

Answer 2

[Azzi Abdelmalek]

n=5;
k=3;
x=(k:n)'
idx=rem(bsxfun(@plus,(0:n-k)',(0:n-k)),n-k+1)+1
out=x(idx)

Answer 3

[Matt J]

   y=k:n-1; 

   m = fliplr(toeplitz([n,y],[n,fliplr(y)]))