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Using Majorizing Sequences for the Semi-local Convergence of a High-Order and Multipoint Iterative Method along with Stability Analysis.
- Source :
-
Journal of Mathematical Extension . 2021, Vol. 15 Issue 2, p1-32. 32p. - Publication Year :
- 2021
-
Abstract
- This paper deals with the study of relaxed conditions for semi-local convergence for a general iterative method, k-step Newton's method, using majorizing sequences. Dynamical behavior of the mentioned method is also analyzed via Julia set and basins of attraction. Numerical examples of nonlinear systems of equations will be examined to verify the given theory. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 17358299
- Volume :
- 15
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Extension
- Publication Type :
- Academic Journal
- Accession number :
- 151373622
- Full Text :
- https://doi.org/10.30495/JME.2021.1390