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- Title
Convergence Ball Analysis of a Modified Newton's Method Under Hölder Continuous Condition in Banach Space.
- Authors
QINGBIAO WU; HONGMIN REN
- Abstract
A modified Newton's method which computes derivatives every other step is used to solve a nonlinear operator equation. An estimate of the radius of its convergence ball is obtained under Hölder continuous Fréchet derivatives in Banach space. An error analysis is given which matches its convergence order.
- Subjects
NEWTON-Raphson method; NUMERICAL analysis; ITERATIVE methods (Mathematics); KANTOROVICH method; BANACH spaces; ERROR analysis in mathematics; NONLINEAR operator equations
- Publication
Asian Academy of Management Journal of Accounting & Finance, 2013, Vol 9, Issue 1, p243
- ISSN
1823-4992
- Publication type
Article