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On the relationship between the Method of Least Squares and Gram-Schmidt orthogonalization

Drygas, Hilmar

The method of Least Squares is due to Carl Friedrich Gauss. The Gram-Schmidt orthogonalization method is of much younger date. 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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Citation
In: Mathematische Schriften Kassel 10, 02 / (2010) , S. ; 
@article{urn:nbn:de:hebis:34-2010081934130,
  author    ={Drygas, Hilmar},
  title    ={On the relationship between the Method of Least Squares and Gram-Schmidt orthogonalization},
  copyright  ={https://rightsstatements.org/page/InC/1.0/},
  language ={en},
  year   ={2010}
}