It is fun to look at how the iterates move in newton’s iterations in the case of function. The iterate derived in the previous post is as follows
If one start at start around 2 we quickly converge to the solution. 🙂
But what happens when we start near a point where derivative of the sin function is zero ? It goes into oblivion.
Moral of the story is if you are using newtons iteration one must be careful if the derivative of the function is nearly zero.
To be continued.