Question

Question about math:

I need someone to explain to me what the tolerance means in this program about newtons iteration:
Halley:=proc(f,x0,n,tol)
local g,x,h,k;
x[0]:=x0;
g:=D(f);
h:=D(D(f));

for k from 0 to n-1 do
x[k+1]:=evalf(x[k]-((2*f(x[k])*g(x[k]))/(2*(g(x[k]))^2-f(x[k])*h(x[k]))));

if abs(x[k+1]-x[k]) 14 years ago

Answer 1

lets say my function is x^2+4x+4

my inital guess is -2.1

i want 10 iterations

but what does the tolerance tell us?

Answer 2

is that a math qn?

Answer 3

yes it is