Teaching polynomial fitting to a set of data via orthogonal polynomials

The problem of polynomial least squares fitting to a set of data leads to a system of linear equations. The solution of such a system is usually considered as something purely technical which lacks interest and is left for students to solve. We consider that the use of orthogonal polynomials here is...

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Bibliographic Details
Published in:International journal of mathematical education in science and technology 1998-07, Vol.29 (4), p.481-487
Main Authors: Moreno Balcázar, Juan José, Lorite, Fernando Reche
Format: Article
Language:English
Online Access:Get full text
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Summary:The problem of polynomial least squares fitting to a set of data leads to a system of linear equations. The solution of such a system is usually considered as something purely technical which lacks interest and is left for students to solve. We consider that the use of orthogonal polynomials here is numerically necessary and provides interesting didactic contributions.
ISSN:0020-739X
1464-5211
DOI:10.1080/0020739980290402