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Convergence of the modified Halley's method for multiple zeros under Hölder continuous derivative.
- Source :
-
Numerical Algorithms . Dec2011, Vol. 58 Issue 4, p497-512. 16p. - Publication Year :
- 2011
-
Abstract
- In this paper, the estimate of the radius of the convergence ball of the modified Halley's method for finding multiple zeros of nonlinear equations is provided under the hypotheses that the derivative f of function f is Hölder continuous, and f is bounded. The uniqueness ball of solution is also established. Finally, some examples are provided to show applications of our theorem. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10171398
- Volume :
- 58
- Issue :
- 4
- Database :
- Academic Search Index
- Journal :
- Numerical Algorithms
- Publication Type :
- Academic Journal
- Accession number :
- 67105448
- Full Text :
- https://doi.org/10.1007/s11075-011-9466-5