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gibson:teaching:fall-2016:math753:newtonmethod

# Math 753/853 Newton's method

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.