A convergence analysis for directional two-step Newton methods

A convergence analysis for directional two-step Newton methods

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Article ID: iaor20108163
Volume: 55
Issue: 4
Start Page Number: 503
End Page Number: 528
Publication Date: Dec 2010
Journal: Numerical Algorithms
Authors: ,
Abstract:

A semilocal convergence analysis for directional two-step Newton methods in a Hilbert space setting is provided in this study. Two different techniques are used to generate the sufficient convergence results, as well as the corresponding error bounds. The first technique uses our new idea of recurrent functions, whereas the second uses recurrent sequences. We also compare the results of the two techniques.

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