| Category | Assignment | Subject | Computer Science |
|---|---|---|---|
| University | - | Module Title | COSC 4364 Numerical Methods |
Submissions are to be made via Canvas. In the form of a zip file with a report file in PDF format and code files that are fairly commented.
Problem 1.
For a continuous function with a single root in the interval [-3,3] using the bisection method with the interval endpoints as starting points, derive how many steps are required to determine the root with an error of at most
Problem 2.
How many bisection steps are required for each decimal digit of accuracy?
Problem 3.
Problem 4.
Derive a division-free Newton iteration formula for computing the inverse square root of a positive number R.
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Problem 5.
Write a MATLAB program not using built-in functions that finds the root of the polynomial in the interval [2,3] by the following methods.
Use a nested formula for the polynomial evaluation, double precision, and error tolerance for the root of -
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