Efficient iterative methods with and without memory possessing high efficiency indices

• Main Authors: Lotfi, Taher, Soleymani, Fazlollah, Noori, Zohreh, Kilicman, Adem, Haghani, Farhad Khaksar
• Format: Article
• Language: English
• Published: Hindawi Publishing Corporation 2014
• Online Access: http://psasir.upm.edu.my/id/eprint/37412/1/Efficient%20iterative%20methods%20with%20and%20without%20memory%20possessing%20high%20efficiency%20indices.pdf; http://psasir.upm.edu.my/id/eprint/37412/; http://www.hindawi.com/journals/ddns/2014/912796/

Two families of derivative-free methods without memory for approximating a simple zero of a nonlinear equation are presented. The proposed schemes have an accelerator parameter with the property that it can increase the convergence rate without any new functional evaluations. In this way, we constru...