- #1
twoski
- 181
- 2
Homework Statement
Use Newtons method to compute the cube root of 5. Do the first 10 iterations. [itex]x_{(0)}=1[/itex]
determine the fixed points of the iteration and determine whether they are repelling/attracting. if attracting, then determine if the convergence is linear or quadratic. draw the x[itex]^{(k+1)} vs. x^{(k)}[/itex] diagram. for what values of [itex]x^{(0)}[/itex] does Newton's method converge?
The Attempt at a Solution
So i did the first 10 iterations for x^(n). After n=5, all following iterations will give the same value.
I am confused as to how we determine what the fixed points are and whether they are attracting/repelling.