mgs

(PublicToolbox/regutools/mgs.m in BrainStorm 2.0 (Alpha))

Function Synopsis

Q = mgs(A)

Help Text

MGS Modified Gram-Schmidt orthonormalization.

 Q = mgs(A)

 Applies the modified Gram-Schmidt process to the matrix A
 (assuming that A has full rank), and returns a matrix Q whose
 columns are orthonormal and span the range of A.

Cross-Reference Information

get_l                              C:\BrainStorm_2001\PublicToolbox\regutools\get_l.m

Listing of function C:\BrainStorm_2001\PublicToolbox\regutools\mgs.m

function Q = mgs(A)
%MGS Modified Gram-Schmidt orthonormalization.
%
% Q = mgs(A)
%
% Applies the modified Gram-Schmidt process to the matrix A
% (assuming that A has full rank), and returns a matrix Q whose
% columns are orthonormal and span the range of A.

% Per Christian Hansen, UNI-C, 04/11/90.

Q = A; [m,n] = size(A);

for k=1:n
   Q(:,k) = Q(:,k)/norm(Q(:,k));
   Q(:,k+1:n) = Q(:,k+1:n) - Q(:,k)*(Q(:,k)'*Q(:,k+1:n));
end