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Arieh Iserles's Acta Numerica 2004: Volume 13 (Acta Numerica) PDF

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By Arieh Iserles

Acta Numerica surveys every year an important advancements in numerical arithmetic and medical computing. the topics and authors of the noticeable survey articles are selected via a uncommon overseas editorial board in order to file an important and well timed advancements in a way obtainable to the broader neighborhood of execs with an curiosity in clinical computing. Acta Numerica volumes have proved to be a worthwhile instrument not just for researchers and pros wishing to boost their realizing of numerical concepts and algorithms and stick to new advancements, but in addition as a complicated educating reduction at schools and universities. a few of the unique articles were used because the top source for graduate classes. this actual quantity used to be initially released in 2004.

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J. R. Gilbert, E. G. Ng and B. W. Peyton (1997), 'Separators and structure prediction in sparse orthogonal factorization', Linear Algebra Appl. 262, 83-97. L. Giraud, J. Langou, and M. Rozlozmk (2002), On the loss of orthogonality in the Gram-Schmidt orthogonalization process, Technical report TR/PA/02/33, CERFACS, Toulouse, France. L. Giraud, S. Gratton and J. Langou (2003), A reorthogonalization procedure for modified Gram-Schmidt algorithm based on a rank-fc update, Technical Report TR/PA/03/11, CERFACS, Toulouse, France.

H. Golub and P. Van Dooren, eds), Vol. 70 of NATO ASI Series, Springer, Berlin, pp. 41-73. A. Bjorck (1994), 'Numerics of Gram-Schmidt orthogonalization', Linear Algebra Appl. 197-198, 297-316. A. Bjorck (1996), Numerical Methods for Least Squares Problems, SIAM, Philadelphia. A. Bjorck and G. H. Golub (1967), 'Iterative refinement of linear least squares solution by Householder transformation', BIT 7, 322-337. A. Bjorck and C. C. Paige (1992), 'Loss and recapture of orthogonality in the modified Gram-Schmidt algorithm', SIAM J.

A. Bjorck (1996), Numerical Methods for Least Squares Problems, SIAM, Philadelphia. A. Bjorck and G. H. Golub (1967), 'Iterative refinement of linear least squares solution by Householder transformation', BIT 7, 322-337. A. Bjorck and C. C. Paige (1992), 'Loss and recapture of orthogonality in the modified Gram-Schmidt algorithm', SIAM J. Matrix Anal. Appl. 13, 176— 190. A. Bjorck and C. C. Paige (1994), 'Solution of augmented linear systems using orthogonal factorizations', BIT 34, 1-26. A. Bjorck, T.

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