vali torkashvand - department of applied mathmatics, hamedan branch, islamic azad university, hameda iran
taher lotfi - department of applied mathmatics, hamedan branch, islamic azad university, hameda iran
mohammad ali fariborzi araghi - Department of Mathematics, Central Tehran Branch, Islamic Azad University,Tehran, Iran.

in this paper, we present an i-point, i=1.2.3.4 with memory methods for solving nonlinear equations is proposed. The mehtodology is based on zheng et al.family methods 7and devoted to the improvement of the exist-ing derivative free methods without memory proposed by zheng et al. to achieve this goal a parameter is introduced wthich is calculater with the help of newtons insterpolatory polynomial. the self-accelerating parameter has the property of simple structure and easy calulation, which do not increase the been increased from 2.4.8 and 16 to 3.6.12 and 24 , respectively without any extra evaluation. another advantage of the new methods is this fact that they remove the severe condition ƒ(z) #0 in a neighborhood of the required root imposed on newtons method. numerival ex-amples and the comparison with existing mehods are included to confirm theoretical results and high compu tational efficeincy.

nonlinear equations, mehtods with memory acceleration of convergence, efficiency index