1. Lecture 11 Graphics
ChE 310

3. Fixed Point Iteration

4. When NOT to use Newton Raphson Method

5. Note on ‘functions’
We have been largely concerned with root finding of functions in the typical, math, linear form e.g.:
F(x) = x*3 + sin(x) *x/45
Often in engineering the function is more like this:
The function could be a block of code, a multivariate problem, or an independent M-file!
In this case the secant or modified secant methods are very valuable!
CODE

6. Inverse Quadratic Interpolation – avoids complex roots
Richard Brent

7. ‘fzero’ built in function
NOTE: can leave empty as [ ]
Like Brent’s but updated with a few new features

8. Practice
Also show on the last one how to use SOLVER again in excel