- #1
DeadxBunny
- 30
- 0
Homework Statement
Consider an iteration function of the form F(x) = x + f(x)g(x), where f(r) = 0 and f'(r) != 0. Find the precise conditions on the function g so that the method of functional iteration will converge cubically to r if started near r.
Homework Equations
I really don't know.
The Attempt at a Solution
I have no idea how to even begin!
Thanks in advance!