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From: William Wu <William.Wu@jpl.nasa.gov>
To: gsl-discuss@sources.redhat.com
Subject: typo in online GSL documentation for SVD
Date: Fri, 20 Jan 2012 20:07:00 -0000	[thread overview]
Message-ID: <CAKFhf10VQ-bFBVk-9tTiiERPt-qUND1n7V=qi0BmDGTeG1ub0A@mail.gmail.com> (raw)

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

             reply	other threads:[~2012-01-20 20:07 UTC|newest]

Thread overview: 2+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2012-01-20 20:07 William Wu [this message]
2012-02-03 15:16 ` Rhys Ulerich

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