scholarly journals Fifth-Order Iterative Method for Solving Multiple Roots of the Highest Multiplicity of Nonlinear Equation

Algorithms ◽  
2015 ◽  
Vol 8 (3) ◽  
pp. 656-668 ◽  
Author(s):  
Juan Liang ◽  
Xiaowu Li ◽  
Zhinan Wu ◽  
Mingsheng Zhang ◽  
Lin Wang ◽  
...  
Keyword(s):  
Nonlinear Equation ◽  
Iterative Method ◽  
Multiple Roots ◽  
Fifth Order

Three-Step Method with Fifth-Order Convergence for Nonlinear Equation

2013 ◽  
Vol 846-847 ◽  
pp. 1274-1277
Author(s):  
Ying Peng Zhang ◽  
Li Sun
Keyword(s):  
Nonlinear Equation ◽  
Iterative Method ◽  
Efficiency Index ◽  
Newton Methods ◽  
Order Convergence ◽  
Step Method ◽  
Second Derivatives ◽  
Fifth Order ◽  
Modified Newton Methods ◽  
Better Than

We present a fifth-order iterative method for the solution of nonlinear equation. The new method is based on two ordinary methods, which are modified Newton methods without second derivatives. Its efficiency index is 1.37973 which is better than that of Newton's method. Numerical results show the efficiency of the proposed method.

Fifth-order iterative method for finding multiple roots of nonlinear equations

2010 ◽  
Vol 57 (3) ◽  
pp. 389-398 ◽  
Author(s):  
Xiaowu Li ◽  
Chunlai Mu ◽  
Jinwen Ma ◽  
Linke Hou
Keyword(s):  
Iterative Method ◽  
Nonlinear Equations ◽  
Multiple Roots ◽  
Fifth Order

Three-Step Method with Fifth-Order Convergence for Nonlinear Equation

2012 ◽  
Vol 524-527 ◽  
pp. 3824-3827 ◽  
Author(s):  
Li Sun ◽  
Liang Fang ◽  
Yun Wang
Keyword(s):  
Nonlinear Equation ◽  
Iterative Method ◽  
Efficiency Index ◽  
Order Method ◽  
Order Convergence ◽  
Step Method ◽  
Third Order ◽  
Second Derivatives ◽  
Fifth Order ◽  
Better Than

We present a fifth-order iterative method for the solution of nonlinear equation. The new method is based on the Noor's third-order method, which is a modified Householder method without second derivatives. Its efficiency index is 1.4953 which is better than that of Newton's method and Noor's method. Numerical results show the efficiency of the proposed method.

Sign in / Sign up

Export Citation Format

Share Document