on an efficient family with memory with high order of convergence for solving nonlinear ‎equations‎

The primary goal of this work is to introduce general family steffensen-like methods with memory of the high efficiency indices.to achieve this target two parameters are introduced which are calculated with the help of newton’s interpolatory polynomial.it is shown that the r-order convergence of the proposed methods has been increased from 2;4;8,... and 2^n to 3.5,7,14, ... and 3.5*2^n-1,respectively without any extra evaluation.computational results confirm the efficient and robust character of presented methods.