Ontology type: schema:ScholarlyArticle
2014-06-24
AUTHORSÁ. Alberto Magreñán, Ioannis K. Argyros
ABSTRACTA new semi-local convergence analysis of the Gauss–Newton method for solving convex composite optimization problems is presented using the concept of quasi-regularity for an initial point. Our convergence analysis is based on a combination of a center-majorant and a majorant function. The results extend the applicability of the Gauss–Newton method under the same computational cost as in earlier studies using a majorant function or Wang’s condition or Lipchitz condition. The special cases and applications include regular starting points, Robinson’s conditions, Smale’s or Wang’s theory. More... »
PAGES37-56
http://scigraph.springernature.com/pub.10.1007/s40324-014-0018-5
DOIhttp://dx.doi.org/10.1007/s40324-014-0018-5
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