Multiplicative Newton’s Methods with Cubic Convergence
| Autor: | UNAL, Emrah, CUMHUR, İshak, GOKDOGAN, Ahmet |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: |
Multiplicative derivative
multiplicative Newton method cubic convergence iterative method Astrophysics::High Energy Astrophysical Phenomena ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION MathematicsofComputing_NUMERICALANALYSIS GeneralLiterature_REFERENCE(e.g. dictionaries encyclopedias glossaries) |
| Zdroj: | Volume: 5, Issue: 3 299-307 New Trends in Mathematical Sciences |
| ISSN: | 2147-5520 |
| Popis: | In this paper, we develop some modifications of the multiplicative Newton method which are third-order convergence. We use the multiplicative Newton Theorem and Newton Cotes quadrature formulas to present these new modifications of the multiplicative Newton method. Using the multiplicative Taylor expansion, we give also the convergence analysis of these new methods. Furthermore, we compare the multiplicative Newton methods with the classical Newton methods in details. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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