Cheg 258 - Lecture Notes - Jan. 31, 2001

Announcements

Class notes

The main points of the lecture were

• Condition numbers, norms, and error

Goals:

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

Reading

• The class notes, Chapter 8 of Recktenwald, 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