Lecture 12.
We continued where I left off on
Wednesday with some details on how to use permutation vectors and/or permutation
matrices.
I illustrated the use of
Matlab lu and Recktenwald's lupiv.
The discussion turned to some
linear algebra and properties of systems that have unique solutions, no
solutions, or infinitely many solutions. Some simple two dimensional examples
were given as visual tools. Floating point arithmetic and rounding error
introduces the concept of systems that may be ill conditioned.
We looked at vector and matrix
norms,so that we could discuss conditioning and condition numbers, and how they
effect the accuracy of a solution of a system of linear
equations.
Posted: Fri - October 6, 2006 at 01:04 PM