Saturday, September 18, 2010

H3 #3

3. In Assignment 2, we found a solution to x^4-3x^2-3=0 in [1,2] based on a fixed-point iteration method by finding a fixed point for the function g(x) = (3x^2 + 3) ^ 1/4 starting with p0=1. We found that the fixed iteration converges to the solution fairly quickly. In this problem, show the following:

a. Show the the function g maps the interval [1,2] into [1,2]...

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