On the relationship between the method of least squares and Gram–Schmidt orthogonalization

Authors

  • Hilmar Drygas University of Kassel

DOI:

https://doi.org/10.12697/ACUTM.2011.15.01

Keywords:

Gram-Schmidt orthogonalization, Least Squares method, linear models, orthogonal projection, simple regression, Steiner's theorem

Abstract

A method for solving Least Squares Problems is developed which automatically results in the appearance of the Gram–Schmidt orthogonalizers. Given these orthogonalizers an induction-proof is available for solving Least Squares Problems.

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Published

2011-12-31

Issue

Vol. 15 No. 1 (2011)

Section

Articles