Polyfit — A package for polynomial fitting

Polynomials P( x) of arbitrary degree are fitted with or without constraints, to a given set of points ( X n , Y n ), n = 1,…, N; N > 1, using the least squares method. A weight ω n may be assigned to each point and/or an error — or fluctuation — Δ Y n to the respective Y n 's. Two kinds of...

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Bibliographic Details
Published in:Computer physics communications 1989-03, Vol.52 (3), p.427-442
Main Author: Sciutto, S.J.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical methods in physics
Numerical approximation and analysis
Physics
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Summary:Polynomials P( x) of arbitrary degree are fitted with or without constraints, to a given set of points ( X n , Y n ), n = 1,…, N; N > 1, using the least squares method. A weight ω n may be assigned to each point and/or an error — or fluctuation — Δ Y n to the respective Y n 's. Two kinds of constraints may be specified: 1) Fixed subset of the polynomial's coefficients and 2) P( ξ q ) = η q , q = 1,…, Q, Q > 0 for given points ( ξ q , η q ), q = 1,…, Q. The problem is reduced to a system of linear equations solved by the Gauss reduction technique.
ISSN:0010-4655
1879-2944
DOI:10.1016/0010-4655(89)90117-3