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Cordero, Alicia; Hueso, José L.; Martínez, Eulalia; Torregrosa, Juan R.

A modified Newton-Jarratt’s composition. (English) Zbl 1251.65074

Numer. Algorithms 55, No. 1, 87-99 (2010).
Summary: A reduced composition technique is used on Newton and Jarratt’s methods in order to obtain an optimal relation between convergence order, functional evaluations and number of operations. Following this aim, a family of methods is obtained whose efficiency indices are proved to be better for systems of nonlinear equations.

Cited in 1 Review
Cited in 116 Documents

MSC:

65H10 Numerical computation of solutions to systems of equations
65H05 Numerical computation of solutions to single equations

Keywords:

nonlinear equations and systems; Newton’s method; fixed point iteration; convergence order; Jarratt’s methods
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\textit{A. Cordero} et al., Numer. Algorithms 55, No. 1, 87--99 (2010; Zbl 1251.65074)
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References:

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