By Arieh Iserles
Acta Numerica surveys every year an important advancements in numerical arithmetic and medical computing. the topics and authors of the sizeable survey articles are selected by means of a exceptional foreign editorial board so that it will record crucial and well timed advancements in a fashion obtainable to the broader neighborhood of pros with an curiosity in clinical computing. Acta Numerica volumes have proved to be a important software not just for researchers and pros wishing to strengthen their realizing of numerical options and algorithms and persist with new advancements, but in addition as a sophisticated instructing reduction at faculties and universities. some of the unique articles were used because the major source for graduate classes. this actual quantity used to be initially released in 2004.
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Extra info for Acta Numerica 2004: Volume 13 (Acta Numerica)
Plemmons (1994), 'Circulant preconditioned Toeplitz least squares iterations', SIAM J. Matrix Anal. Appl. 15, 80-97. T. F. Chan (1987), 'Rank revealing QR-factorizations', Linear Algebra Appl. 88/89, 67-82. T. F. Chan and D. E. Foulser (1988), 'Effectively well-conditioned linear systems', SIAM J. Sci. Statist. Comput. 9, 963-969. T. F. Chan and P. C. Hansen (1990), 'Computing truncated SVD least squares solutions by rank revealing QR factorizations', SIAM J. Sci. Statist. Comput. 11, 519-530. T.
The singular values of A decay gradually and cluster at zero, resulting in a huge condition number; cf. 1. However, the components of the right-hand side b along singular vectors corresponding to small singular values decay rapidly, so that the systems are effectively well-conditioned in the sense of Chan and Foulser (1988). 27 on Tue Nov 09 11:59:42 GMT 2010. 001 Cambridge Books Online © Cambridge University Press, 2010 36 A. , in the form of constraints, must be imposed on the solution in order to get a regularized problem with a well-determined solution.
M. Arioli (2000), 'The use of QR factorization in sparse quadratic programming and backward error issues', SIAM J. Matrix Anal. Appl. 21, 825-839. Z. Bai and J. W. Demmel (1993), 'Computing the generalized singular value decomposition', SIAM J. Sci. Comput. 14, 1464-1486. Z. Bai, J. Demmel, J. Dongarra, A. Ruhe and H. van der Vorst, eds (2000), Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide, SIAM, Philadelphia, PA. C. Benoit (1924), 'Sur la methode de resolution des equations normales, etc.