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Iterative refinement of the singular-value decomposition solution to the regression equations

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Publication:671660
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DOI10.1016/0167-9473(96)00010-2zbMath0900.62276OpenAlexW1994021157WikidataQ126527190 ScholiaQ126527190MaRDI QIDQ671660

Juan-Miguel Gracia

Publication date: 27 February 1997

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-9473(96)00010-2

zbMATH Keywords

CollinearityOrthogonal decompositions


Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Linear inference, regression (62J99)



Uses Software

  • UNCMND
  • pchip
  • SAS/STAT


Cites Work

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  • Benchmarking numerical accuracy of statistical algorithms
  • Numerical methods for solving linear least squares problems
  • Elimination with weighted row combinations for solving linear equations and least squares problems
  • Regression and the Moore-Penrose pseudoinverse
  • A comparison of algorithms for forming the QR decomposition for use in regression
  • On the Iterative Refinement of Least Squares Solutions
  • Iterative refinement of linear least squares solutions I
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