A simple yet efficient two-step fifth-order weighted-Newton method for nonlinear models. (English) Zbl 07676516
Summary: An iterative method with fifth order of convergence for solving nonlinear systems is formulated and analyzed. Primary goal of the development of method is to keep the both, convergence order and computational efficiency, as high as possible. Both of these factors are investigated thoroughly in theoretical as well as numerical manner. Comparison with the existing iterative methods of similar order is carried out to examine the performance of method. Numerical testing clearly indicates the high degree of precision and efficiency of the new method.
MSC:
| 65H10 | Numerical computation of solutions to systems of equations |
| 65J10 | Numerical solutions to equations with linear operators |
| 49M15 | Newton-type methods |
Software:
MathematicaReferences:
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