Least-squares fitting using orthogonal multinomials-Reference-Cited by-同舟云学术

Least-squares fitting using orthogonal multinomials

Published:1985-09 Issue:3 Volume:11 Page:201-217
ISSN:0098-3500
Container-title:ACM Transactions on Mathematical Software
language:en
Short-container-title:ACM Trans. Math. Softw.

Author:

Bartels Richard H.¹,Jezioranski John J.²

Affiliation:

1. Department of Computer Science, University of Waterloo, Waterloo, Ontario, Canada N2L 3G2

2. Ontario Cancer Institute, 500 Sherbourne, St., Toronto, Ontario, Canada M4X 1K9

Abstract

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.

Publisher

Association for Computing Machinery (ACM)

Subject

Applied Mathematics,Software

Link

https://dl.acm.org/doi/pdf/10.1145/214408.214410

Reference6 articles.

1. Some Orthogonal Methods of Curve and Surface Fitting

2. Generation and use of orthogonal polynomials for data-fitting with a digital computer;FORSYTHE G.E;J. SIAM,1957

3. The pfort verifier

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