Cheg 258 - Lecture Notes - Jan. 27, 1999

Announcements

Class notes

The main points of the lecture were

Condition numbers, norms, and error

Goals:

After this class you should be able to:

Calculate the norm of a vector or a matrix.
Determine if a set of equations are ill-conditioned.

Reading

The class notes, Chapter 2 of Hanna, and Chapter 3 of Kahaner.

Questions of the Day

Which is largest, the 2-norm or the 1-norm? Can you think of a simple physical example?
Why is the condition number of a permutation matrix unity?

Matlab Example Codes

example 7a example 7b

Homework Exercises (Due Feb. 3, 1999)

problem 7
solution

David.T.Leighton.1@nd.edu