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## Re: [Bug-gsl] Definition of Singular Value Decomposition

**From**: |
Brian Gough |

**Subject**: |
Re: [Bug-gsl] Definition of Singular Value Decomposition |

**Date**: |
Fri, 05 Sep 2008 18:03:27 +0100 |

**User-agent**: |
Wanderlust/2.14.0 (Africa) Emacs/22.2 Mule/5.0 (SAKAKI) |

At Wed, 3 Sep 2008 15:51:12 +0200,
Geelen Bert wrote:
>* 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"*
Thanks for your email. The routines compute the "thin" version of the
SVD as opposed to the "full" SVD. I will add a note to the manual to
make that clearer.
--
Brian Gough
GNU Scientific Library -
http://www.gnu.org/software/gsl/