Cheg 258 - Lecture Notes - Mar. 9, 2001

Announcements

The first hour exam has been graded, and the class performance was quite good. The mean was 29.3/40 with a standard deviation of 5.7. A stem and leaf plot of the class results is given below:

05  |  
10  |  
15  |  6 6 9 
20  |  2 3 3 4 1 0
25  |  8 7 9 8 9 8 6 8
30  |  1 3 0 2 4 4 2 4 4 2 0 1 1 0 1 1 0 1
35  |  8 5 7 5 6 5 5 8
40  |

Class notes

Scanned Notes

The main points of the lecture were

Systems of Non-Linear Equations

Goals:

After this class you should be able to:

Solve a system of non-linear equations using Newton's method.

Reading

The class notes and Chapter 7 of Kahaner and 6 of Recktenwald.

Question of the Day:

Name two examples of where you might want to solve systems of non-linear equations.
Why might the Jacobian of a system of equations be singular? What does it mean physically?

Matlab Example Codes

example 20

Homework Exercises (Due Mar. 23, 2001)

problem 20
solution

David.T.Leighton.1@nd.edu