Higham, Nicholas J. and Stewart, G. W. (1987) Numerical Linear Algebra in Statistical Computing. In: The State of the Art in Numerical Analysis. Oxford University Press, Oxford, UK, pp. 41-57. ISBN 0-19-853614-3
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Abstract
Some of the factors to be considered when applying the techniques of numerical linear algebra to statistical problems are discussed with reference to three particular examples: the use of the normal equations in regression problems; the use of perturbation theory to assess the effects of errors in regression matrices; and the phenomenon of benign degeneracy, in which the numerical problem becomes more difficult even as the associated statistical problem becomes easier.
| Item Type: | Book Section |
|---|---|
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 62 Statistics MSC 2010, the AMS's Mathematics Subject Classification > 65 Numerical analysis |
| Depositing User: | Nick Higham |
| Date Deposited: | 23 Nov 2008 |
| Last Modified: | 20 Oct 2017 14:12 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1195 |
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