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Homework Help: Newtons method and convergence

  1. Feb 6, 2010 #1
    In Newton's method, I am having difficulty understanding why the convergence is quadratic.
    I can imagine the closer and closer approximations moving along the x-axis as the base of a right angle triangle, but I cannot see from here how I arrive at the convergence being quadratic.
    Any one know of any sources that explain this in a straightforward manner? Or would any one like to attempt to explain this for me?! It's really bugging me!
    Thanks in advance.
  2. jcsd
  3. Feb 7, 2010 #2
    Should it be obvious that for, say, x2 - 2, the rate of convergence of the error should be quadratic? The examples I find on the internet are far from obvious, even those that proport to be geometrical interpretations!
    Any help would be really appreciated!
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