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Backward error analysis for the constrained and weighted linear least squares problem when using the weighted $QR$ factorization
Responsible organisation
1995 (English)In: SIAM Journal on Matrix Analysis and Applications, ISSN 0895-4798, Vol. 16, no 2, 675-687 p.Article in journal (Refereed) Published
Abstract [en]

Backward errors are derived for the solution of the constrained and weighted linear least squares problem when using the weighted $QR$ factorization with column pivoting, [SIAM J. Matrix Anal. Appl., 13 (1992), pp. 1298�1313]. On the way to achieving this goal we attain a detailed description of the errors produced when using our $M$-invariant reflections.

Place, publisher, year, edition, pages
1995. Vol. 16, no 2, 675-687 p.
Keyword [en]
rounding errors, least squares, QR factorization, weights
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-3981Local ID: 4398OAI: oai:DiVA.org:miun-3981DiVA: diva2:29013
Available from: 2008-09-30 Created: 2009-09-21Bibliographically approved

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Gulliksson, Mårten
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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
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