Calculus of nth roots and third order iterative methods

Authors
Gutierrez, JM Hernandez, MA Salanova, MA
Citation
Jm. Gutierrez et al., Calculus of nth roots and third order iterative methods, NONLIN ANAL, 47(4), 2001, pp. 2875-2880
Citations number
9
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
4
Year of publication
2001
Pages
2875 - 2880
Database
ISI
SICI code
0362-546X(200108)47:4<2875:CONRAT>2.0.ZU;2-M
Abstract
We apply a family of iterative methods to the problem of extracting the nth root of a positive number R, that is, to solve the nonlinear equation t(n) - R = 0. For each value of n we obtain the method in the family for which the highest order of convergence is reached.