Cheg 258 - Lecture Notes - Feb. 4, 2000

Announcements

Class notes

The main points of the lecture were

• Errors in Systems of Equations
• Linear Regression

Goals:

• Calculate the error in the solution of a system of linear equations.
• Fit a line to a set of data using linear regression.

Reading

• The class notes and Chapter 6 of Kahaner and Hanna.

Questions of the Day

• If the right hand side b of the problem A x = b is a result of measurements which have a precision of 1%, what is the upper limit on the condition number of A for the solution to have any significance?
• In the class example (diffusion through a membrane between two reservoirs), can we use linear regression if we don't know the equilibrium concentration?

Matlab Example Codes

example 8