A NINTH ORDER ITERATIVE METHOD FOR SOLVING NON-LINEAR EQUATIONS WITH HIGH-EFFICIENCY INDEX

2020 ◽  
Vol 9 (7) ◽  
pp. 5283-5290
Author(s):  
M. S. K. Mylapalli ◽  
R. K. Palli ◽  
R. Sri
Keyword(s):  
Iterative Method ◽  
High Efficiency ◽  
Linear Equations ◽  
Efficiency Index ◽  
Non Linear ◽  
Non Linear Equations

Real Continuation Method and its Application in Kinematic Synthesis

2000 ◽  
Author(s):  
Liu Anxin ◽  
Yang Tingli
Keyword(s):  
High Efficiency ◽  
Continuation Method ◽  
Linear Equations ◽  
Path Generation ◽  
Kinematic Synthesis ◽  
Real Solutions ◽  
Non Linear ◽  
Four Bar Linkage ◽  
Non Linear Equations

Abstract Real continuation method for finding real solutions to non-linear equations is proposed. Synthesis of planar four-bar linkage for path generation with nine precision points is studied using this method. The proposed method has high efficiency and can best be used for solving synthesis problems.

scholarly journals Five-point thirty-two optimal order iterative method for solving non-linear equations

2021 ◽  
Vol 25 (Spec. issue 2) ◽  
pp. 401-409
Author(s):  
Malik Ullah ◽  
Fayyaz Ahmad
Keyword(s):  
Iterative Method ◽  
Linear Equations ◽  
Initial Guess ◽  
Convergence Order ◽  
Optimal Order ◽  
Order Convergence ◽  
Derivative Free ◽  
Non Linear ◽  
High Order Convergence ◽  
Non Linear Equations

A five-point thirty-two convergence order derivative-free iterative method to find simple roots of non-linear equations is constructed. Six function evaluations are performed to achieve optimal convergence order 26-1 = 32 conjectured by Kung and Traub [1]. Secant approximation to the derivative is computed around the initial guess. High order convergence is attained by constructing polynomials of quotients for functional values.

scholarly journals Interval and Speed of Convergence on Iterative Methods

2017 ◽  
pp. 112-114
Author(s):  
Iswarmani Adhikari
Keyword(s):  
Iterative Method ◽  
Iterative Methods ◽  
Linear Equations ◽  
Initial Guess ◽  
Similar Process ◽  
Speed Of Convergence ◽  
Non Linear ◽  
Non Linear Equations

The iterative method is a tool of solving the non-linear equations to get their approximate roots with some errors of tolerance. Repetition of the similar process is applied successively on such iterations to compute a sequence of increasingly accurate estimates of the roots. In this paper, the construction of an iterative method for solving an equation, its convergence and the determination of interval of convergence for the approximate choice of initial guess and the speed of convergence are highlighted.The Himalayan Physics Vol. 6 & 7, April 2017 (112-114)

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