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Abstract: A new algorithm of Demmel et al. for computing the singular value decomposition (SVD) to high relative accuracy begins by computing a rank-revealing decomposition. (Update)
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4.2: QR Factorization with Complete Pivoting and Accurate Computation.. - Higham (1998) (Correct)
1.6: Stability of Householder QR Factorization for Weighted Least.. - Cox, Higham (1997) (Correct)
1.1: The Test Matrix Toolbox for Matlab (Version 3.0) - Higham (1995) (Correct)
BibTeX entry: (Update)
N. J. Higham. QR factorization with complete pivoting and accurate computation of the SVD. Numerical Analysis Report No. 324, Manchester Centre for Computational Mathematics, Manchester, England, Sept. 1998. Submitted to Linear Algebra and Appl. http://citeseer.ist.psu.edu/higham99qr.html More
@article{ higham00qr,
author = "Nicholas J. Higham",
title = "{QR} factorization with complete pivoting and accurate computation of the {SVD}",
journal = "Linear Algebra and its Applications",
volume = "309",
number = "1--3",
pages = "153--174",
year = "2000",
url = "citeseer.ist.psu.edu/higham99qr.html" }
Citations (may not include all citations):155 Society for Industrial and Applied Mathematics (context) - Anderson, Bai et al. - 1995
99 Society for Industrial and Applied Mathematics (context) - Higham, Stability et al. - 1996
62 Manchester Centre for Computational Mathematics (context) - Higham, Matrix et al. - 1995
57 Society for Industrial and Applied Mathematics (context) - Dongarra, Bunch et al. - 1979
26 Relative perturbation techniques for singular value problems (context) - Eisenstat, Ipsen
19 Computing the singular value decomposition with high relativ.. - Demmel, Gu et al.
9 On applying Householder transformations to linear least squa.. (context) - Powell, Reid
8 Stability of Householder QR factorization for weighted least.. - Cox, Higham
5 Accurate SVDs of structured matrices - Demmel - 1997
4 A BLAS-3 version of the QR factorization with column pivotin.. - Quintana-Ort'i, Sun et al. - 1998
4 On principal angles between subspaces of Euclidean space (context) - Drmac - 1997
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