MATLAB: Simplifying 4 for loops into one

for loophelpMATLAB and Simulink Student Suite

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.

Best Answer

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
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