Math. 455-01 Second Supplementary Assignment
-
Program Algorithm~5 in the handout
Univariate interval Newton methods using
INTLIB_90.
- Apply the program to the function f and the
function f' of problem 3b, page 9.
- Use the results to provide the answer to problem 3b, page
9,
as well as a mathematical proof that the answer is correct.
(Hint: Once small intervals have been found containing the
zeros of f and f', evaluate f over these
intervals and, using interval arithmetic, at the end points
2 and 4, to get upper and lower bounds on the maximum of
|f| over [2,4].)
Contact the instructor if you have any questions about this.