Newton-Raphson algorithm stuck running after 4 or 5 iterations

Neeta Dsouza answered . 2025-07-09 21:39:20

Converting to numeric data type is much faster than using symbolic values

 

syms x real
%I have defined f to be an explicit function of x, so that you can directly input 
%the value to get the output instead of using subs()
f(x) = x^5-2*x^3+4*x+2;
error_lim = 1e-5;
%% newton raphson
%as a result, d_f is also an explicit function of x
d_f = diff(f)

d_f(x) = 

m = 5;
while true
    %conversion to double
    e = m - double(f(m)/d_f(m));
    err = abs(e-m);
    %fprintf("error = %g\n", err)
    if err < error_lim
        break
    end
    m = e;
    %fprintf("x_p = %g\n", m)
end
%Succesful completion of while loop and result is obtained
fprintf("the root newton raphson method is %g\n", e)

the root newton raphson method is -0.581803

 

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