On the R-order of convergence of Newton's method under mild differentiability conditions

Journal of Computational and Applied Mathematics

Volumn 197, Issue 1, 2006, Pages 53-61

  Ezquerro, J A ^a   Hernandez M A ^a  

^a UNIVERSITY OF LA RIOJA   (Spain)

Author keywords

A priori error bounds; Newton's method; Nonlinear equations in Banach spaces; Nonlinear integral equation; R order of convergence; Semilocal convergence theorem

Indexed keywords

ERROR ANALYSIS; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; THEOREM PROVING;

A PRIORI ERROR BOUNDS; NEWTON'S METHOD; NONLINEAR EQUATIONS IN BANACH SPACES; NONLINEAR INTEGRAL EQUATIONS; R-ORDER OF CONVERGENCE; SEMILOCAL CONVERGENCE THEOREM;

CONVERGENCE OF NUMERICAL METHODS;

EID: 33746808688     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.10.023     Document Type: Article

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