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Third-order iterative methods under Kantorovich conditions

✍ Scribed by S. Amat; S. Busquier


Book ID
108175863
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
176 KB
Volume
336
Category
Article
ISSN
0022-247X

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Calculus of nth roots and third order it
✍ J.M. GutiΓ©rrez; M.A. HernΓ‘ndez; M.A. Salanova πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 187 KB

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.