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Operations-Research-Spektrum

, Volume 8, Issue 3, pp 181–184 | Cite as

Average linear least squares regression

  • H. Späth
OR-Software

Summary

We describe an algorithm and a corresponding FORTRAN subroutine for finding a regression vectorx withn components such that
$$F(x) = \sum\limits_{i = 1}^s {w_i \left\| {A_i x - b_i } \right\|}$$
is minimized, where ∥.∥ denotes the Euclidean norm,W i >0,A i are design matrices withm i rows andn columns, andb i are observation vectors withm i components (i=1,...,s).

Keywords

Euclidean Norm Observation Vector Design Matrice FORTRAN Subroutine 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Zusammenfassung

Wir beschreiben einen Algorithmus und eine zugehörige FORTRAN-Subroutine zur Auffindung einesn-komponentigen Parametervektorsx derart daß
$$F(x) = \sum\limits_{i = 1}^s {w_i \left\| {A_i x - b_i } \right\|}$$
minimiert wird, wobei ∥.∥ die Euklidische Norm bezeichnet,W i >0,A i Versuchsmatrizen mitm i Zeilen undn Spalten undb i Beobachtungsvektoren der Längem i (i= 1,...,s)sind.

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References

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    Voss H, Eckhardt U (1980) Linear convergence of generalized Weiszfeld's method. Computing 25:243–251Google Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • H. Späth
    • 1
  1. 1.Fachbereich MathematikUniversität OldenburgOldenburgF. R. Germany

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