%0 Journal Article
%A Torkashvand, Vali
%A Kazemi, Manochehr
%A Moccari, Mandana
%T Structure a Family of Three-Step with-Memory Methods for Solving Nonlinear Equations and Their Dynamics
%J Mathematical Analysis and Convex Optimization
%V 2
%N 2
%U http://maco.lu.ac.ir/article-1-88-en.html
%R 10.52547/maco.2.2.12
%D 2021
%K With-memory method, Basin of attraction, Accelerator parameter, R- order convergence, Nonlinear equations,
%X In this work, we will ﬁrst propose an optimal three-step without-memory method for solving nonlinear equations. Then, by introducing the self-accelerating parameters, the with-memory-methods have been built. They have a ﬁfty-nine percentage improvement in the convergence order. The proposed methods have not the problems of calculating the function derivative. We use these Steffensen- type methods to solve nonlinear equations with simple zeroes with the appropri- ate initial approximation of the root. we have solved a few nonlinear problems to justify the theoretical study. Finally, are described the dynamics of the with- memory method for complex polynomials of degree two.
%> http://maco.lu.ac.ir/article-1-88-en.pdf
%P 119-137
%& 119
%!
%9 Research Article
%L A-10-113-1
%+ Member of Young Researchers and Elite club Shahr-e-Qods Branch Islamic Azad University, Tehran, Iran
%G eng
%@ 2717-0624
%[ 2021