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typo in online GSL documentation for SVD
- From: William Wu <William dot Wu at jpl dot nasa dot gov>
- To: gsl-discuss at sources dot redhat dot com
- Date: Wed, 18 Jan 2012 11:50:34 -0800
- Subject: 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