Cheg 258 - Lecture Notes - Feb. 12, 2001

Announcements

• The first hour exam will be held in class on Wednesday, 2/28. Note that two of the problems (half of the exam) will be drawn from old first and second hour exams. Thus, if you have any questions about them come to the review sessions!

Class notes

The main points of the lecture were

• Singular Value Decomposition

Goals:

• Know how to use singular value decomposition to solve systems of equations, and to compress data.

Reading

• The class notes and Ch. 6 of Kahaner.

Question of the Day:

• Due to roundoff errors, matrices are never perfectly singular. How can we use singular value decomposition in an algorithm to get "good" answers to such nearly singular problems?

Matlab Example Codes

example 12