Keyword: The Secant Method : Search

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articleNo Access
CONSTRUCTION OF DERIVATIVE-FREE ITERATIVE METHODS FROM CHEBYSHEV'S METHOD
- J. A. EZQUERRO,
- A. GRAU,
- M. GRAU-SÁNCHEZ, and
- M. A. HERNÁNDEZ
Analysis and Applications01 May 2013
Preview Abstract
From some modifications of Chebyshev's method, we consider a uniparametric family of iterative methods that are more efficient than Newton's method, and we then construct two iterative methods in a similar way to the Secant method from Newton's method. These iterative methods do not use derivatives in their algorithms and one of them is more efficient than the Secant method, which is the classical method with this feature.

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