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Math 753/853 Newton's method

Newton's method is an algorithm for finding solutions $x$ of a nonlinear equation $f(x) = 0$, where $f$ is differentiable. In general $f$ and $x$ can be multidimensional ($f: \mathbb{R}^n \rightarrow \mathbb{R}^n$), 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.
gibson/teaching/fall-2016/math753/newtonmethod.txt · Last modified: 2016/10/06 09:25 by gibson