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    Local Convergence of the Gauss-Newton Method for Infective-Overdetermined Systems

    Autor: 
    Amat, Sergio
    Argyros, Ioannis K
    Magreñán, Á. Alberto (1)
    Fecha: 
    09/2014
    Palabra clave: 
    the Gauss-Newton method; Hilbert spaces; majorant condition; local convergence; radius of convergence; injective-overdetermined systems; JCR; Scopus
    Tipo de Ítem: 
    Articulo Revista Indexada
    URI: 
    https://reunir.unir.net/handle/123456789/5609
    DOI: 
    http://dx.doi.org/10.4134/JKMS.2014.51.5.955
    Dirección web: 
    http://koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2014_v51n5_955
    Open Access
    Resumen:
    We present, under a weak majorant condition, a local convergence analysis for the Gauss-Newton method for injective-overdetermined systems of equations in a Hilbert space setting. Our results provide under the same information a larger radius of convergence and tighter error estimates on the distances involved than in earlier studies such us [10, 11, 13, 14, 18]. Special cases and numerical examples are also included in this study.
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