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

**From**: |
Geelen Bert |

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

**Date**: |
Wed, 3 Sep 2008 15:51:12 +0200 |

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

**[Bug-gsl] Definition of Singular Value Decomposition**,
*Geelen Bert* **<=**