Question

Prove that rate of convergence of newton raphson method is quadratic.

Answer 1

Answer:

4

I've googled this and I've seen different types of proofs but they all use notations that I don't understand.

But first of all, I need to understand what quadratic convergence means, I read that it has to do with the speed of an algorithm. Is this correct?

Ok, so I know that this is the Newton-Raphson method:

xn+1=xn−f(xn)f′(xn)

How do I prove that it converges?

Thanks.