Why do I get this error: A(I): index out of bounds; value 2 out of bound 1 (line 13)

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function root=newtonmethod(f,fprime,x0,maxiter,tol)
%input:
% f string that names the function f(x).
% fprime string that names the derivative f’(x).
% x0 the initial point
% tol is the termination tolerances
% maxiter the maximum number of iteration
x(1) = x0;
n = 2;
while abs(f(x(n))) > tol & n < maxiter
m = n+1;
x(m) = x(n) - f(x(n))/fprime(x(n));
if x(n) - f(x(n))/fprime(x(n)) < 0
root = x(n);
break;
end
end
root = x(n)

回答(2 个)

Daniel kiracofe
Daniel kiracofe 2016-11-13
Because the very first time the while statement's condition is checked, n=2, and x is a vector that has 1 element. You are asking to evaluate the 2nd element of an array that has only 1 element. You probably want to start with n=1 instead of n=2.

Roger Stafford
Roger Stafford 2016-11-14
Besides the error that Daniel gives you, another error is that ’n’ never changes within your while-loop, so the (corrected) loop would never stop unless you just happened to start with the right value.

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