Earthquake location based on the gradient method and on minima of beams of directions

Earthquake location is usually made by means of the Gauss-Newton iterative method, known in seismology as the Geiger method. As this method may fail to be efficient in some cases, attention is turned to the possibilities offered to the problem by the gradient method, which is always convergent, and,...

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Autor principal: Gershanik, Simón
Formato: Articulo
Lenguaje:Inglés
Publicado: 1973
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/138933
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id I19-R120-10915-138933
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Geofísica
spellingShingle Geofísica
Gershanik, Simón
Earthquake location based on the gradient method and on minima of beams of directions
topic_facet Geofísica
description Earthquake location is usually made by means of the Gauss-Newton iterative method, known in seismology as the Geiger method. As this method may fail to be efficient in some cases, attention is turned to the possibilities offered to the problem by the gradient method, which is always convergent, and, when properly used, may lead to the vicinity of the solution after a few iterations. But in the vicinity of the solution, the gradient method becomes slowly convergent. Therefore, in addition, another convergent method based on the minimum value, g , of the sum of the squared residuals taken on a beam of directions, is presented. In it the sum g is approximated by a polynomial of Laplace spherical harmonics. The new method includes the gradient method as a particular case; it is well suited in the vicinity of the solution and may lead quickly to it.
format Articulo
Articulo
author Gershanik, Simón
author_facet Gershanik, Simón
author_sort Gershanik, Simón
title Earthquake location based on the gradient method and on minima of beams of directions
title_short Earthquake location based on the gradient method and on minima of beams of directions
title_full Earthquake location based on the gradient method and on minima of beams of directions
title_fullStr Earthquake location based on the gradient method and on minima of beams of directions
title_full_unstemmed Earthquake location based on the gradient method and on minima of beams of directions
title_sort earthquake location based on the gradient method and on minima of beams of directions
publishDate 1973
url http://sedici.unlp.edu.ar/handle/10915/138933
work_keys_str_mv AT gershaniksimon earthquakelocationbasedonthegradientmethodandonminimaofbeamsofdirections
bdutipo_str Repositorios
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