Abstract:
This paper focuses on solving nonlinear systems numerically. We propose an efficient family of
three-step iterative schemes with seventh-order of convergence. The
proposed methods are obtained by using the weight functions
procedure and they do not require the evaluation of second or higher
Frechet derivatives per iteration to proceed. Numerical comparisons
are made with other existing methods to confirm the theoretical
results and to show the performance of the presented schemes.
Key Words: Nonlinear systems, iterative methods,
order of convergence,multipoint methods.
2000 Mathematics Subject Classification: Primary: 65H10;
Secondary: 65D30.
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