Local Convergence for an Improved Jarratt-type Method in Banach Space
- Argyros, Ioannis K.
- González Sánchez, Daniel
ISSN: 1989-1660
Argitalpen urtea: 2015
Alea: 3
Zenbakia: 4
Orrialdeak: 20-25
Mota: Artikulua
Beste argitalpen batzuk: IJIMAI
Laburpena
We present a local convergence analysis for an improved Jarratt-type methods of order at least five to approximate a solution of a nonlinear equation in a Banach space setting. The convergence ball and error estimates are given using hypotheses up to the first Fre´chet derivative in contrast to earlier studies using hypotheses up to the third Fre´chet derivative. Numerical examples are also provided in this study, where the older hypotheses are not satisfied to solve equations but the new hypotheses are satisfied.