Preprint
On the relationship between the Method of Least Squares and Gram-Schmidt orthogonalization
Zusammenfassung
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.
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.
Zitieren
@article{urn:nbn:de:hebis:34-2010081934130,
author={Drygas, Hilmar},
title={On the relationship between the Method of Least Squares and Gram-Schmidt orthogonalization},
year={2010}
}
0500 Oax 0501 Text $btxt$2rdacontent 0502 Computermedien $bc$2rdacarrier 1100 2010$n2010 1500 1/eng 2050 ##0##urn:nbn:de:hebis:34-2010081934130 3000 Drygas, Hilmar 4000 On the relationship between the Method of Least Squares and Gram-Schmidt orthogonalization / Drygas, Hilmar 4030 4060 Online-Ressource 4085 ##0##=u http://nbn-resolving.de/urn:nbn:de:hebis:34-2010081934130=x R 4204 \$dPreprint 4170 Mathematische Schriften Kassel ;; 10, 02 7136 ##0##urn:nbn:de:hebis:34-2010081934130
2010-08-19T12:10:45Z 2010-08-19T12:10:45Z 2010 urn:nbn:de:hebis:34-2010081934130 http://hdl.handle.net/123456789/2010081934130 eng Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ Linear models Method of Least Squares simple regression Steiner-theorem orthogonal projection Gram-Schmidt orthogonalization 510 On the relationship between the Method of Least Squares and Gram-Schmidt orthogonalization Preprint 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. open access Drygas, Hilmar Mathematische Schriften Kassel ;; 10, 02 Mathematische Schriften Kassel 10, 02
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