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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 <=