Rounding error analysis of the classical Gram-Schmidt orthogonalization process-Reference-Cited by-同舟云学术

Rounding error analysis of the classical Gram-Schmidt orthogonalization process

Published:2005-05-25 Issue:1 Volume:101 Page:87-100
ISSN:0029-599X
Container-title:Numerische Mathematik
language:en
Short-container-title:Numer. Math.

Author:

Giraud Luc,Langou Julien,Rozložník Miroslav,Eshof Jasper van den

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00211-005-0615-4.pdf

Reference24 articles.

1. Abdelmalek, N.: Round off error analysis for Gram-Schmidt method and solution of linear least squares problems. BIT 11, 345–368 (1971)

2. Björck, Å.: Solving linear least squares problems by Gram-Schmidt orthogonalization. BIT 7, 1–21 (1967)

3. Björck, Å.: Numerical Methods for Least Squares Problems. SIAM, Philadelphia, PA, 1996

4. Björck, Å., Paige, C.: Loss and Recapture of Orthogonality in the Modified Gram-Schmidt Algorithm. SIAM J. Matrix Anal. Appl 13(1), 176–190 (1992)

5. Daniel, J.W., Gragg, W.B., Kaufman, L., Stewart, G.W.: Reorthogonalization and Stable Algorithms for Updating the Gram-Schmidt QR Factorization. Math. Comp 30, 772–795 (1976)

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