How to impose a condition creating a matrix.

I want to create a matrix with all the possible combinations of 10 numbers between 0 and 100, with intervals of 5, that its sum be equal to 100. I mean something like this:

(0 0 0 0 0 0 0 0 0 10 90; 10 10 10 10 10 10 10 10 20 0;...)

I use "allcomb.m" to create something like all the possible numbers that are between 0 and 100, with intervals of 5. However, this matrix is so big, and that implies that Matlab doesn't create it. I was thinking that, if I have that matrix, I could reduce it using a condition but this is impossible because I never get the matrix. So, the question is how I can modify the allcomb's code with the condition in the same code or maybe, and better, another way to create the matrix that I purpose.

Thanks.

Answer 1

[Iman Ansari]

Hi. With 0:5:100 got out of memory error:

n=0:10:100;
A=n';
for i=1:9
    x=repmat(n,[size(A,1) 1]);
    A=repmat(A,[numel(n) 1]);
    x=x(:);
    A=[A x];
    A=A(sum(A,2)<=100,:);
end

A=A(sum(A,2)==100,:);

[Iván López]

Thank you, Iman Ansari. Fortunately I can use a powerfull hardware where I could use 0:5:100. Thanks for your time.