Inexact searches on the L-curve

Authors

  • Hugo Lara Urdaneta Universidad Centroccidental Lisandro Alvarado, Venezuela
  • Adalys Alvarez Universidad Nacional Abierta, Venezuela
  • Freddy Torrealba Anzola Universidad Centroccidental Lisandro Alvarado, Venezuela

Keywords:

III-posed problems, Thikonov regularization, L-curve, inexact searches

Abstract

In a Tikhonov regularization scheme to solve discrete linear ill-posed problems, selecting the parameter value is a key task. We use Wolfe inexact search on the L-curve to choose a λ regularization parameter value far from critical areas of the L-curve. Numerical results are shown comparing the inexact scheme with other exact searches.

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Author Biographies

Hugo Lara Urdaneta, Universidad Centroccidental Lisandro Alvarado, Venezuela

Departamento de Investigaci´on de Operaciones, Universidad Centroccidental “Lisandro Alvarado”, Barquisimeto

Freddy Torrealba Anzola, Universidad Centroccidental Lisandro Alvarado, Venezuela

Departamento de F´ısica, Universidad Centroccidental “Lisandro Alvarado”, Barquisimeto, Venezuela

Publicaciones en Ciencias y Tecnologia Vol 3 nro 1 año 2009

Published

2009-09-28

How to Cite

[1]
H. Lara Urdaneta, A. Alvarez, and F. Torrealba Anzola, “Inexact searches on the L-curve”, Publ.Cienc.Tecnol, vol. 3, no. 1, pp. 15-22, Sep. 2009.

Issue

Vol. 3 No. 1 (2009): January-June

Section

Research Article

Creative Commons Reconocimiento-NoComercial-CompartirIgual 4.0 Internacional (CC BY-NC-SA 4.0)

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