Use of the (Articolo in rivista)

Type
Label
  • Use of the (Articolo in rivista) (literal)
Anno
  • 2003-01-01T00:00:00+01:00 (literal)
Alternative label
  • Lampariello, F.; Sciandrone, M. (2003)
    Use of the
    in Journal of optimization theory and applications
    (literal)
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  • Lampariello, F.; Sciandrone, M. (literal)
Pagina inizio
  • 65 (literal)
Pagina fine
  • 82 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#numeroVolume
  • 119 (literal)
Rivista
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  • A new algorithm for nonlinear least-squares problems is defined, its convergence properties are proved, and computational experiments are performed (literal)
Note
  • ISI Web of Science (WOS) (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • Istituto di Analisi dei Sistemi ed Informatica - CNR (literal)
Titolo
  • Use of the (literal)
Abstract
  • In this work a new stabilization scheme for the Gauss-Newton method is defined, where the minimum norm solution of the linear least-squares problem is normally taken as search direction, and the standard Gauss-Newton equation is suitably modified only at a subsequence of iterates. Moreover, the stepsize is computed by means of a nonmonotone line search technique. The global convergence of the proposed algorithm model is proved under standard assumptions, and the superlinear rate of convergence is ensured for the zero-residual case. A specific implementation algorithm is described, where the use of the pure Gauss-Newton iteration is conditioned to the progress made in the minimization process by controlling the stepsize. The results of a computational experimentation performed on a set of standard test problems are reported. (literal)
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