Hybrid Steffensen’s Method for Solving Nonlinear Equation  

作　　者：Hamideh Eskandari Hamideh Eskandari(Department of Mathematics, Payame Noor University, Tehran, Iran)

机构地区：[1]Department of Mathematics, Payame Noor University, Tehran, Iran

出　　处：《Applied Mathematics》2022年第9期745-752,共8页应用数学（英文）

摘　　要：In this paper, we are going to present a class of nonlinear equation solving methods. Steffensen’s method is a simple method for solving a nonlinear equation. By using Steffensen’s method and by combining this method with it, we obtain a new method. It can be said that this method, due to not using the function derivative, would be a good method for solving the nonlinear equation compared to Newton’s method. Finally, we will see that Newton’s method and Steffensen’s hybrid method both have a two-order convergence.In this paper, we are going to present a class of nonlinear equation solving methods. Steffensen’s method is a simple method for solving a nonlinear equation. By using Steffensen’s method and by combining this method with it, we obtain a new method. It can be said that this method, due to not using the function derivative, would be a good method for solving the nonlinear equation compared to Newton’s method. Finally, we will see that Newton’s method and Steffensen’s hybrid method both have a two-order convergence.

关 键 词：CONVERGENCE Simple Root Newton’s Method Steffensen’s Method Nonlinear Equation Iteration Method Steffensen’s Hybrid Method 

分 类 号：O29[理学—应用数学]