Newton Raphson Method

Hello everybody...
The following is a sample program to understand finding solution of a non linear equation using Newton Raphson Method. This program is not a generalised one. But you can understand the basic idea of the method and how to implement it using MATLAB. For more information about this method please try this

% This programme is to find the solution of a non linear equation by Newton Raphson method.
% This is not a generalized program
clc;
clear all;
format long;
syms x;
e = 1e-5;                      % setting the tolerance value
dx = e + 1;
f = log(2-x) + x^2;               % enter your function here;
x = 7;                          % initially assumed value of x
count = 0;                      % setting counter to know the no of iterations taken
p = zeros(1,1);
while (abs(dx) > e)             % initialising the iteration and continue until the error is less than tolerance
    dx = eval(f/(diff(f)));     % calculating dx, diff is used for finding the differentiation of the fuction
    x = x - dx                 % updating the value of x
    count = count + 1;          % incrimenting the counter
    p(count) = x;
    drawnow();
    plot(abs(p),'r','linewidth',3);
    grid;
    if (count > 300)
        fprintf('Error...! Solution not converging !!! \n');  % printing the error message
        break;
    end
end
% plot(abs(p));
if (count < 300)
    fprintf('The solution = ');  %printing the result
    x
    fprintf('\nNumber of iteration taken = %d\n',count);
end

Try it for different functions
Thank you...