How to show that Newton's method has the linear convergence rate with 1-1/m?

Question

How to show that Newton's method has the linear convergence rate with 1-1/m ? (For a zero of multiplicity m>=2)

score 2 · Answer 1 · answered Apr 01 '15 at 14:47

2

Let $f(x)=(x-a)^mg(x)$, with $g(x)\neq0$

answered Apr 01 '15 at 14:47

Empy2

1 Answers1