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- Title
Convergence Behavior for Newton-Steffensen's Method under γ-Condition of Second Derivative.
- Authors
Yonghui Ling; Xiubin Xu; Shaohua Yu
- Abstract
The present paper is concerned with the semilocal as well as the local convergence problems of Newton-Steffensen's method to solve nonlinear operator equations in Banach spaces. Under the assumption that the second derivative of the operator satisfies γ-condition, the convergence criterion and convergence ball for Newton-Steffensen's method are established.
- Subjects
STOCHASTIC convergence; NEWTON-Raphson method; DERIVATIVES (Mathematics); BANACH spaces; NONLINEAR operator equations; PROBLEM solving
- Publication
Abstract & Applied Analysis, 2013, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2013/682167