A semilocal convergence analysis for the method of tangent parabolas

A semilocal convergence analysis for the method of tangent parabolas

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We present a semilocal convergence analysis for the method of tangent parabolas (Euler-Chebyshev) using a combination of Lipschitz and center Lipschitz conditions on the Fréchet derivatives involved. This way we produce a majorizing sequence which converges under weaker conditions than before. The e...

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Bibliographic Details
Main Author: Ioannis K. Argyros
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2005-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Banach space
tangent parabola
Euler-Chebyshev method
majorizing sequence
Fréchet-derivative
Lipschitz-center conditions
Online Access:https://www.ictp.acad.ro/jnaat/journal/article/view/786

Internet

https://www.ictp.acad.ro/jnaat/journal/article/view/786

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