An efficient fourth order weighted-Newton method for systems of nonlinear equations

@article{Sharma2012AnEF,
  title={An efficient fourth order weighted-Newton method for systems of nonlinear equations},
  author={Janak Raj Sharma and Rangan K. Guha and Rajni Sharma},
  journal={Numerical Algorithms},
  year={2012},
  volume={62},
  pages={307-323}
}
In this paper, we develop a fourth order method for solving the systems of nonlinear equations. The algorithm is composed of two weighted-Newton steps and requires the information of one function and two first Fréchet derivatives. Therefore, for a system of n equations, per iteration it uses n + 2n 2 evaluations. Computational efficiency is compared with Newton’s method and some other recently published methods. Numerical tests are performed, which confirm the theoretical results. From the… CONTINUE READING