Homework #3
#Question 1 Results
Part (i)
| solver | initial guess(es) | ea | number of iterations |
|---|---|---|---|
| falsepos | 1, 50 | 2.16e-06 | 10 |
| bisect | 1, 50 | 3.94e-07 | 6 |
| newtraph | 1, 50 | 9.92e-06 | 24 |
| mod_secant | 1, 50 | 7.63e-06 | 624 |
Part(iii)
The file used to create the plots is "HW3_Script this file contains a series of for loops that take data from the root functions and places them into a "Table" from here it organizes the data and titles it. The convergence plot uses the information from the "Table" to plot the information on a a graph that is setup by calling the "setdefaults" function.
Part(ii)
check "convergence.png" graph
#Question 2 Results
Divergent
| Iteration | x_i | Approx Error |
|---|---|---|
| 1 | 2 | 12.5 |
| 2 | 2 | 9.5703 |
| 3 | 2 | 7.8262 |
| 4 | 2 | 6.6491 |
| 5 | 2 | 5.7943 |
Convergent
| Iteration | x_i | Approx Error |
|---|---|---|
| 1 | 0.2 | 1250 |
| 2 | 0.2 | 1.6531e05 |
| 3 | 0.2 | 4.5122e11 |
| 4 | 0.2 | 4.5122e11 |
| 5 | 0.2 | 4.5122e11 |