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Some higher-order modifications of Newton’s method for solving nonlinear equations
- Source :
-
Journal of Computational & Applied Mathematics . Dec2008, Vol. 222 Issue 2, p477-486. 10p. - Publication Year :
- 2008
-
Abstract
- Abstract: In this paper we consider constructing some higher-order modifications of Newton’s method for solving nonlinear equations which increase the order of convergence of existing iterative methods by one or two or three units. This construction can be applied to any iteration formula, and per iteration the resulting methods add only one additional function evaluation to increase the order. Some illustrative examples are provided and several numerical results are given to show the performance of the presented methods. [Copyright &y& Elsevier]
- Subjects :
- *EQUATIONS
*ALGEBRA
*MATHEMATICS
*NUMERICAL analysis
Subjects
Details
- Language :
- English
- ISSN :
- 03770427
- Volume :
- 222
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Computational & Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 34744245
- Full Text :
- https://doi.org/10.1016/j.cam.2007.11.018