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International Journal of Computer Mathematics Volume 88, 2011 - Issue 13
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Section B

Bounds for an estimate of the optimal backward error for linear least squares problems

Zheng Su Genentech Inc., South San Francisco, CA, 94080, USACorrespondence[email protected]
Pages 2743-2751 | Received 18 Aug 2010, Accepted 03 Jan 2011, Published online: 03 Jun 2011
 
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Abstract

Algorithms for calculating sequences of upper and lower bounds for an estimate of the optimal backward error for linear least squares problems are developed, based on the Gauss quadrature theory. Numerical results show that the bounds converge quickly and are therefore useful in practice.

2000 AMS Subject Classifications :

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