Convergence of Newton’s method under the gamma condition

• Argyros, Ioannis K. ^[1]
  1. [1] Cameron University

     Cameron University

     Estados Unidos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 25, Nº. 3, 2006, págs. 293-306
• Idioma: inglés
• DOI: 10.4067/S0716-09172006000300006
• Enlaces
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• Resumen

  • We provide a semilocal as well as a local convergence analysis of Newton’s method using the gamma condition [1], [10], [11]. Using more precise majorizing sequences than before [4], [8]—[11] and under at least as weak hypotheses, we provide in the semilocal case: finer error bounds on the distances involved and an at least as precise information on the location of the solution; in the local case: a larger radius of convergence.

• Referencias bibliográficas
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