Calculus of nth roots and third order iterative methods
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Universidad de La Rioja
info
ISSN: 0362-546X
Year of publication: 2001
Volume: 47
Issue: 4
Pages: 2875-2880
Type: Article
More publications in: Nonlinear Analysis
Abstract
A family of iterative methods is analyzed for the problem of extracting the nth root of a positive number R. The method is used to solve the nonlinear equation t n - R = 0. For each value of n, the method is used for the family for which the highest order of convergence is reached.