Least-Squares Fitting Using Orthogonal Multinomials

@article{Bartels1985LeastSquaresFU,
  title={Least-Squares Fitting Using Orthogonal Multinomials},
  author={Richard H. Bartels and John J. Jezioranski},
  journal={ACM Trans. Math. Softw.},
  year={1985},
  volume={11},
  pages={201-217}
}
Forsythe has given a method for generating basis polynomials in a single variable that are orthogonal with respect to a given inner product. Weisfeld later demonstrated that Forsythe's approach could be extended to polynomials in an arbitrary number of variables. In this paper we sharpen Weisfeld's results and present a method for computing weighted, multinomial, least-squares approximations to given data. 
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Generation and use of orthogonal polynomials for data-fitting with a digital computer

  • G. E. FORSYTHE
  • J. SIAM
  • 1957
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