On the semilocal convergence of derivative free methods for solving nonlinear equations


  • Ioannis K. Argyros Cameron University, USA
  • Hongmin Ren Hangzhou Polytechnic, China




Banach space, derivative free method, Newton's method, divided difference, recurrence relations
Abstract views: 269


We introduce a Derivative Free Method (DFM) for solving nonlinear equations in a Banach space setting. We provide a semilocal convergence analysis for DFM using recurrence relations. Numerical examples validating our theoretical results are also provided in this study to show that DFM is faster than other derivative free methods [9] using similar information.


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How to Cite

Argyros, I. K., & Ren, H. (2012). On the semilocal convergence of derivative free methods for solving nonlinear equations. Rev. Anal. Numér. Théor. Approx., 41(1), 3–17. https://doi.org/10.33993/jnaat411-964