From mboxrd@z Thu Jan 1 00:00:00 1970 Return-Path: Received: (qmail 6801 invoked by alias); 20 Jan 2012 20:07:11 -0000 Received: (qmail 31385 invoked by uid 22791); 18 Jan 2012 19:50:50 -0000 X-SWARE-Spam-Status: No, hits=-0.0 required=5.0 tests=BAYES_40,T_RP_MATCHES_RCVD X-Spam-Check-By: sourceware.org MIME-Version: 1.0 Date: Fri, 20 Jan 2012 20:07:00 -0000 Message-ID: Subject: typo in online GSL documentation for SVD From: William Wu To: gsl-discuss@sources.redhat.com Content-Type: text/plain; charset=ISO-8859-1 X-Source-Sender: William.Wu@jpl.nasa.gov X-Spamclassfication-Commtouch: not spam X-SpamRefId: str=0001.0A090208.4F17228C.005C,ss=1,fgs=0 Mailing-List: contact gsl-discuss-help@sourceware.org; run by ezmlm Precedence: bulk List-Id: List-Subscribe: List-Archive: List-Post: List-Help: , Sender: gsl-discuss-owner@sourceware.org X-SW-Source: 2012-q1/txt/msg00000.txt.bz2 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