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.


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