1. Local convergences for families of six order chebyshev-haley method

  • Yurti G. Zarhins
Keywords: Local convergence, six order, Chebyshev-Haley method


This paper presents a local convergences method for families of super- Haley method of higher convergences ordering for approximating the solutions of non-linear equations in the Banach spaces. The proposed convergences condition involves hypothesis on the first as well as second Frechet-derivatives of the operators involved. Previous researches apply hypothesis up to three Frechet derivatives. Numeric example is also given in this paper.