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    Numerical Methods: Fixed-Point Iteration

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    Let g(x) = 0.5x + 1.5 and p0 = 4, and consider fixed-point iteration.
    a) Show that the fixed point is P=3
    b) Show that |P - Pn| = |P - Pn-1|/2 for n = 1, 2, 3...
    c) Show that |P - Pn| = |P - P0|/2^2 for n = 1, 2, 3...

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    Solution Summary

    This is a problem regarding fixed-point iteration that is solved with all calculations shown, in the handwritten attached picture file.