Simplifying 4 for loops into one

Hello, I have the following piece of code where "cgs, mgs, house,qr" are functions. I am trying to write the following script in a nested for loop since the whole lot is repetitive enough. My problem arises when I am trying to call a different function on different iterations (cgs, mgs,etc) ,and storing each list name in a 2d array list. Anyone know how I could make this script in one for loop ?

listCGS = nan([5 1]);
for i=1:5
    m=2^i;
    v = ([1:m]/m)';
    A = vander(v);
    [Q,R] = cgs(A)
     normCGS = norm(Q'*Q-eye(size(Q'*Q)));
     listCGS(i) = normCGS;
end

listMGS = nan([5 1]);
for i=1:5
    m=2^i;
    v = ([1:m]/m)';
    A = vander(v);
    [Q,R] = mgs(A);
     normMGS = norm(Q'*Q-eye(size(Q'*Q)));
     listMGS(i) = normMGS;
end

listHouse = nan([5 1]);
for i=1:5
    m=2^i;
    v = ([1:m]/m)';
    A = vander(v);
    [Q,R] = house(A);
     normHouse = norm(Q'*Q-eye(size(Q'*Q)));
     listHouse(i) = normHouse;
end

listMat = nan([5 1]);
for i=1:5
    m=2^i;
    v = ([1:m]/m)';
    A = vander(v);
    [Q,R] = qr(A);
     normMat = norm(Q'*Q-eye(size(Q'*Q)));
     listMat(i) = normMat;
end

Thank you very much.

Answer 1

[Cris LaPierre]

Why not just put it all in one loop?

listCGS = nan([5 1]);
listMGS = nan([5 1]);
listHouse = nan([5 1]);
listMat = nan([5 1]);
for i=1:5
    m=2^i;
    v = ([1:m]/m)';
    A = vander(v);
    [Q,R] = cgs(A)
    normCGS = norm(Q'*Q-eye(size(Q'*Q)));
    listCGS(i) = normCGS;

    [Q,R] = mgs(A);
    normMGS = norm(Q'*Q-eye(size(Q'*Q)));
    listMGS(i) = normMGS;

    [Q,R] = house(A);
    normHouse = norm(Q'*Q-eye(size(Q'*Q)));
    listHouse(i) = normHouse;

    [Q,R] = qr(A);
    normMat = norm(Q'*Q-eye(size(Q'*Q)));
    listMat(i) = normMat;
end

[Mihail Anghelici]

There is still quite a bit of repetition, but this is good enough. Thank you !