Homocentric convergence ball of the secant method
β Scribed by Kewei Liang
- Book ID
- 107500797
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 2007
- Tongue
- English
- Weight
- 210 KB
- Volume
- 22
- Category
- Article
- ISSN
- 1005-1031
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π SIMILAR VOLUMES
In this work, we obtain a semilocal convergence result for the secant method in Banach spaces under mild convergence conditions. We consider a condition for divided differences which generalizes those usual ones, i.e., Lipschitz continuous and Holder continuous conditions. Also, we obtain a result f
Newton's method Divided difference Recurrence relations a b s t r a c t We introduce a three-step Chebyshev-Secant-type method (CSTM) with high efficiency index for solving nonlinear equations in a Banach space setting. We provide a semilocal convergence analysis for (CSTM) using recurrence relatio