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typo in online GSL documentation for SVD


Hello GSL developers,

I may have noticed a small typo in the online documentation for the
Singular Value Decomposition, which can be found at

      http://www.math.utah.edu/software/gsl/gsl-ref_206.html

The first sentence reads:

"A general rectangular @math{M}-by-@math{N} matrix @math{A} has a
singular value decomposition (SVD) into the product of an
@math{M}-by-@math{N} orthogonal matrix @math{U}, an
@math{N}-by-@math{N} diagonal matrix of singular values @math{S} and
the transpose of an @math{M}-by-@math{M} orthogonal square matrix
@math{V}"

However, I think the matrix V should be N-by-N in order for the matrix
multiplication A = U S V^T to make sense. So the corrected sentence
would be:

"A general rectangular @math{M}-by-@math{N} matrix @math{A} has a
singular value decomposition (SVD) into the product of an
@math{M}-by-@math{N} orthogonal matrix @math{U}, an
@math{N}-by-@math{N} diagonal matrix of singular values @math{S} and
the transpose of an @math{N}-by-@math{N} orthogonal square matrix
@math{V}"

Thank you for the GSL.

Regards,
--
William Wu


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