A Stable and Efficient Parallel Block Gram-Schmidt Algorithm-Reference-Cited by-同舟云学术

A Stable and Efficient Parallel Block Gram-Schmidt Algorithm

Published:1999 Issue: Volume: Page:1128-1135
ISSN:0302-9743
Container-title:Euro-Par’99 Parallel Processing
language:
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Author:

Vanderstraeten Denis

Publisher

Springer Berlin Heidelberg

Link

http://link.springer.com/content/pdf/10.1007/3-540-48311-X_158

Reference12 articles.

1. S. Balay, W.D. Gropp, L. Curfman McInnes, and B.F. Smith. PETSc home page. http://www.mcs.anl.gov/petsc , 1998.

2. C.H. Bischof. Incremental Condition Estimation. SIAM J. Mat. Anal. Appl., No. 2, pp. 312–322, 1990.

3. A. Björck. Numerics of Gram-Schmidt Orthogonalization. Linear Alg. Appl., pp. 297–316, 1994.

4. A. Björck and C.C. Paige. Loss and Recapture of Orthogonality in the Modified Gram-Schmidt Algorithm. SIAM J. Mat. Anal. Appl., No. 1, pp. 176–190, 1992.

5. J.W. Daniel, W.B. Gragg, L. Kaufman, and G.W. Steward. Reorthogonalization and Stable Algorithms for Updating the Gram-Schmidt QR Factorization. Mathematics of Computations, Vol. 30, No. 136, pp. 772–795, 1976.

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