Convergence and numerical analysis of a family of two-step steffensen's methods |
| |
Affiliation: | Departamento de Matemática Aplicada y Estadística Universidad Politécnica de Cartagena Edificio de Minas, Paseo de Alfonso XIII, n52 Cartagena, Murcia 30230, Spain |
| |
Abstract: | We provide sufficient conditions for the semilocal convergence of a family of two-step Steffensen's iterative methods on a Banach space. The main advantage of this family is that it does not need to evaluate neither any Fréchet derivative nor any bilinear operator, but having a high speed of convergence. Some numerical experiments are also presented. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|