## New efficient derivative free family of seventh-order methods for solving systems of nonlinear equations

- Mona Narang, Saurabh Bhatia, Vinay Kanwar
- Numerical Algorithms
- 2016

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@inproceedings{Sharma2013AnED, title={An Efficient Derivative Free Iterative Method for Solving Systems of Nonlinear Equations}, author={Janak Raj Sharma and Himani Arora}, year={2013} }

- Published 2013

We present a derivative free method of fourth order convergence for solving systems of nonlinear equations. The method consists of two steps of which first step is the well-known Traub’s method. First-order divided difference operator for functions of several variables and direct computation by Taylor’s expansion are used to prove the local convergence order. Computational efficiency of new method in its general form is discussed and is compared with existing methods of similar nature. It is… CONTINUE READING