Question

in matlab Using the polynomial entered and the starting guess , compute the root of the polynomial using the Newton-Raphson method. Repeat the method until the percent error between the most recent two iterations is less than the percent error entered by the user . Determine the percent error of the most recent two iterations using the formula. Output the final value of the root found with the Newton-Raphson method and the number of iterations the method took to converge to that value (as shown in the sample output).

the equation used is percent error = ((Vn-Vn-1)/Vn-1)) *(100)

the polynomial is the vector you enter

here is my code so far

vector = input("Enter a vector this vector will be your polynomial ");

v0=input('what is your starting guess ');

percenterror=input('Enter percent error: ');

Answer 1

`Hey,

Note: If you have any queries related the answer please do comment. I would be very happy to resolve all your queries.

clc%clears screen
clear all%clears history
close all%closes all files
format long;
vector = input('Enter a vector this vector will be your polynomial ');
v0=input('what is your starting guess ');
percenterror=input('Enter percent error: ');
f=@(x) polyval(vector,x);
g=@(x) polyval(polyder(vector),x);
for i=1:100
v1=v0-f(v0)/g(v0);
if(abs((v1-v0)/v0)*100<percenterror)
break;
end
v0=v1;
end
fprintf('Root is %f\n',v1);
fprintf('Iterations taken is %d\n',i);

Kindly revert for any queries

Thanks.