Comments on: Modified Gram-Schmidt Orthogonalization in Matlab

By: touseef

touseef — Wed, 20 Oct 2010 05:50:19 +0000

no dear…
we can not aplly this method for linearly dependent vector .

Shmuel — Wed, 13 Oct 2010 10:52:12 +0000

Hi, well it nice and it works,

Do I need to run this function several time on the last result in order to improve the result?

Shmuel

Elliott Back — Mon, 21 Jan 2008 15:09:30 +0000

Yes, but it won’t give anything useful to you; you’ll end up with output like an identity matrix.

shriks — Mon, 21 Jan 2008 11:10:46 +0000

Can this Modified Gram-Schmidt Orthogonalization be applicable to linearly dependent vectors ?

Anonymous — Sun, 03 Jul 2005 13:41:26 +0000

function Q = mgs(A)

n = size(A,2);
Q = A;

for k = 1:n-1,
Q(:,k) = A(:,k) ./ norm(A(:,k));
A(:,k+1:n) = A(:,k+1:n) – Q(:,k) * (Q(:,k)’ * A(:,k+1:n));
end;
Q(:,n) = A(:,n) ./ norm(A(:,n));