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Calculus of nth roots and third order iterative methods

✍ Scribed by J.M. Gutiérrez; M.A. Hernández; M.A. Salanova

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
187 KB
Volume
47
Category
Article
ISSN
0362-546X

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✦ Synopsis

We apply a family of iterative methods to the problem of extracting the (n)th 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.

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