Use of Residuals in Forsythe's Method for Polynomial Curve Fitting

Orthogonal polynomials are widely used in discrete least squares polynomial curve fitting. Here we explain why a variant proposed recently by several authors is superior and propose a logical extension which produces better results under some circumstances.

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Veröffentlicht in:IMA journal of applied mathematics 1979-08, Vol.24 (1), p.99-108
Hauptverfasser: FYFE, D. J., OKE, K. H.
Format: Artikel
Sprache:eng
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Zusammenfassung:Orthogonal polynomials are widely used in discrete least squares polynomial curve fitting. Here we explain why a variant proposed recently by several authors is superior and propose a logical extension which produces better results under some circumstances.
ISSN:0272-4960
1464-3634
DOI:10.1093/imamat/24.1.99