Math-305, Numerical Methods & Matrices
Section 1.5 — Fixed Point Method with Aitken Acceleration

Dr. Kevin G. TeBeest
You should always perform 3 or 4 iterations of my classroom example(s) BEFORE attempting the homework.
  1. Do this problem involving Aitken acceleration.    (pdf file)

  2. What is the purpose of Aitken acceleration?

  3. What is the rate of convergence of the fixed point method with Aitken acceleration?
    Linear? Quadratic? Cubic? Exponential?

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