Newton's method is an algorithm for finding solutions
of a nonlinear equation
, where
is differentiable. In general
and
can be multidimensional (
), but for now we'll just consider the one-dimensional case.
Some excellent online resources for Newton's method
Netwon's method, Wikipedia. Really nice explanation, animation of iteration of method, history, error analysis, and overview of what can go wrong.
Newton's method, Wolfram Alpha. Terse, error analysis, nice plots of Julia sets.
Newton's Method, Paul's Online Math Notes. Nice wordy description of algorithm with illustrative graphs, with two examples.