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Homework Help: Convergence criteria for fixed point iteration

  1. Feb 24, 2010 #1
    1. The problem statement, all variables and given/known data
    Most functions can be rearranged in several ways to give x = g(x) with which to begin the fixed-point
    iteration method. For f(x) = e^x − 2x^2 , one g(x) is x = +- sqrt(e^x/2)
    a) Using the convergence criteria, show that this converges to the root near 1.5 if the positive value is used and to the root near -0.5 if the negative is used. Do not carry out iterations!


    2. Relevant equations



    3. The attempt at a solution
    what is convergence criteria for fixed point iteration, how can i solve this problem?
     
  2. jcsd
  3. Feb 24, 2010 #2
    There is no such thing as "the" convergence criteria for fixed point iteration. The criteria in question are to be found in your textbook or notes, and in order to help you, we would need to know what exactly your problem refers to.
     
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