newtonraphson(f,df,​xo,tol)

Newton Raphson Method comparison with BISECTION and REGULA-FALSI METHOD
125 Downloads
Updated 22 Aug 2016

View License

Let the given equation be f(x) = 0 and the initial approximation for the root is x0. Draw a tangent to the curve y = f(x) at x0 and extend the tangent until x-axis. Then the point of intersection of the tangent and the x-axis is the next approximation for the root of f(x) = 0. Repeat the procedure with x0 = x1 until it converges.
BISECTION and REGULA-FALSI METHOD please refer previously uploaded function

f(x) =x^3-3*x+1
the above function has two roots in between -2 to -1 and in between 1 to 2.

% Newton Raphson Method comparison with BISECTION and REGULA-FALSI METHOD
%%
clear all
clc
x=-3:0.01:3;
y=x.^3-3*x+1;
plot(x,y)
grid on
%%
a=1;
b=2;
xo=2;
tol=0.01;
f=inline('x^3-3*x+1');
df=inline('3*x^2-3');
disp('Regula falsi Method')
disp('--------------------')
R=Regulafalsi(f,a,b,tol);
disp('Bisection Method')
disp('--------------------')
B=bisection(f,a,b,tol);
disp('Newton Raphson Method ')
disp('----------------------')
N=newtonraphson(f,df,xo,tol);

reference:
https://mat.iitm.ac.in/home/sryedida/public_html/caimna/transcendental/iteration%20methods/newton/newton.html

Cite As

N Narayan rao (2024). newtonraphson(f,df,xo,tol) (https://www.mathworks.com/matlabcentral/fileexchange/58749-newtonraphson-f-df-xo-tol), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2013a
Compatible with any release
Platform Compatibility
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
Version Published Release Notes
1.0.0.0

image