Definition of Singular Value Decomposition

["Geelen Bert" <bgeelen@.......>]

Hi,

http://www.gnu.org/software/gsl/manual/html_node/Singular-Value-Decompos
ition.html
states:
"A general rectangular M-by-N matrix A has a singular value
decomposition (svd) into the product of an M-by-N orthogonal matrix U,
an N-by-N diagonal matrix of singular values S and the transpose of an
N-by-N orthogonal square matrix V"

Shouldn't the dimensions of U and S instead be as follows:
"A general rectangular M-by-N matrix A has a singular value
decomposition (svd) into the product of an M-by-M orthogonal matrix U,
an M-by-N diagonal matrix of singular values S and the transpose of an
N-by-N orthogonal square matrix V"

Regards,

Bert