A local convergence analysis of Chebyshev-Halley method having third order of convergence for approximating zero of non-linear operator f(v)=0 by using convex majorant function and their condition in B-space(Banach sp...
In the paper [1], authors have suggested and analyzed a predictor-corrector Halley method for solving nonlinear equations. In this paper, we modified this method by using the finite difference scheme, which had a quan...
Supported by the National Natural Science Foundation of China (Grant Nos.60773043;60473114);the Key Project Foundation of Scientific Research, Ministry of Education of China (Grant No.309017);the Doctoral Program Foundation of Ministry of Education of China (Grant No.20070359014);the Natural Science Key Foundation of Education Department of Anhui Province (Grant No.KJ2010A237);the Research Funds for Young Innovation Group of Education Department of Anhui Province (Grant No.2005TD03);the Provincial Foundation for Excellent Young Talents of Colleges and Universities of Anhui Province (Grant No.2010SQRL118);the Research Funds for Young Teachers in the College of Education Department of Anhui Province (Grant No.2008jq1158)
Using the forms of Newton iterative function, the iterative function of Newton’s method to handle the problem of multiple roots and the Halley iterative function, we give a class of iterative formulae for solving equ...