Recall from calculus that Newtons method is an iterative
Chapter , Problem 30(choose chapter or problem)
Recall from calculus that Newtons method is an iterative procedure to find the roots of a given function P. Indeed, the Newton iteration is just xn+1 = xn P(xn) P (xn) . (a) Show that a root x of P for which P (x) = 0 is a fixed point for the Newton iteration. (b) Suppose P(x) = x3 x. Determine whether the fixed points for the corresponding Newton iteration are attracting or repelling.
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