Dr. Kevin G. TeBeest
You should always perform 3 or 4 iterations of my classroom example(s) BEFORE attempting the homework.
- Do these problems (click).
- Review how to plot multiple functions on a common plot in the Maple Tutorial entitled Basics if necessary.
- Under what conditions is the fixed point method guaranteed to converge? Answer in a complete and comprehensible sentence.
- Under what conditions will the fixed point method converge faster? Answer in a complete and comprehensible sentence.
- What will the Fixed Point Method do if g'(x) = 0.2 near the root? See the lecture for the answer.
- What will the Fixed Point Method do if g'(x) = -0.8 near the root? See the lecture for the answer.
- What will the Fixed Point Method do if g'(x) = 1.1 near the root? See the lecture for the answer.
- What is the rate of convergence of the fixed point method?
Linear? Quadratic? Cubic? Exponential?