2009-09-01, English, Article, Journal or magazine article edition: Fast solving of weighted pairing least-squares systems. Courrieu, Pierre

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Physical Description
  • Magazine/​Journal article
Published
  • Elsevier B.V., 2009 Sept 1
Language
  • English

Edition details

Title
  • Fast solving of weighted pairing least-squares systems.
Appears In
  • Journal of Computational and Applied Mathematics, v.231, no.1, 2009 Sept 1, p.39(10) (ISSN: 0377-0427)
Author
  • Courrieu, Pierre
Published
  • Elsevier B.V., 2009 Sept 1
Physical Description
  • Magazine/​Journal article
Subjects
Target Audience
  • Academic
Summary
  • To link to full-text access for this article, visit this link: http:/​/​dx.doi.org/​10.1016/​j.cam.2009.01.016 Byline: Pierre Courrieu Abstract: This paper presents a generalization of the "weighted least-squares" (WLS), named "weighted pairing least-squares" (WPLS), which uses a rectangular weight matrix and is suitable for data alignment problems. Two fast solving methods, suitable for solving full rank systems as well as rank deficient systems, are studied. Computational experiments clearly show that the best method, in terms of speed, accuracy, and numerical stability, is based on a special {1, 2, 3}-inverse, whose computation reduces to a very simple generalization of the usual "Cholesky factorization-backward substitution" method for solving linear systems. Author Affiliation: LPC, UMR 6146, CNRS-University of Provence, Marseille, France Article History: Received 1 September 2008
Terms of Use
  • COPYRIGHT 2009 Elsevier B.V.
Language
  • English
Database
  • Gale Academic OneFile
Identifier
  • 200850173

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