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