CSCI3656 Numerical Computing :: Project Two solution


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1. Using the quadratic formula, compute the roots of f(x) = 4x
2 −3x−3.
Show your work.
2. Implement bisection for root finding.
3. Transform the function f into an appropriate function g for a fixed
point problem. Show your work.
4. Implement the fixed point method. Make sure you use good stopping
criteria; see Sauer, section 1.2.4.
5. Using your implementations, compare the two root finding methods for
finding the root of f. Which is faster? Can you find a function such
that the other root finding method is faster? For f, you know the true
roots. What if you didn’t know the true roots? How do you compute
accuracy if you don’t know the true answer?