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V-invariant methods, generalised least squares problems, and the Kalman filter
School of Mathematical Sciences, Australian National University.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2004 (English)In: ANZIAM journal (Print), ISSN 1446-1811, E-ISSN 1446-8735, Vol. 45, no Part C, 232-247 p.Article in journal (Refereed) Published
Abstract [en]

V-invariant methods for the generalised least squares problem extend the techniques based on orthogonal factorization for ordinary least squares to problems with multiscaled, even singular covariances. These methods are summarised briefly here, and the ability to handle multiple scales indicated. An application to a class of Kalman filter problems derived from generalised smoothing splines is considered. Evidence of severe illconditioning of the covariance matrices is demonstrated in several examples. This suggests that this is an appropriate application for the V-invariant techniques.

Place, publisher, year, edition, pages
2004. Vol. 45, no Part C, 232-247 p.
Research subject
Scientific Computing
URN: urn:nbn:se:ltu:diva-4762Local ID: 2c0ea1e0-ab88-11db-aeba-000ea68e967bOAI: diva2:977636
Validerad; 2004; 20070117 (evan)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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Söderkvist, Inge
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