Achieving an extended convergence analysis for the secant method under a restricted Hölder continuity condition

Author:

Ren H. M.ORCID,Argyros I. K.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Control and Optimization,Modelling and Simulation,Numerical Analysis

Reference23 articles.

1. Amat, S., Magreñán, A.A., Romero, N.: On a two-step relaxed Newton-type method. Appl. Math. Comput. 219, 11341–11347 (2013)

2. Argyros, I.K.: On the Secant method. Publ. Math. Debrecen. 43, 223–238 (1993)

3. Argyros, I.K.: An improved error analysis for Newton-like methods under generalized conditions. J. Comput. Appl. Math. 157(1), 169–185 (2003)

4. Argyros, I.K.: New sufficient convergence conditions for the secant method. Czechoslovak Math. J. 55(1), 175–187 (2005)

5. Argyros, I.K.: Computational theory of iterative methods. In: Chui, C.K., Wuytack, L. (eds.) Series: studies in computational mathematics, vol. 15. Elservier Publ. Co., New York (2007)

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