Annotated Reading List Week5
This reading list will provide a list of
material to read to keep up in the course. The list will contain options, where
you may read one of several treatments of the same material.
The
list:
Key:
Ell = Randy Ellis, Scientific
Computing Notes
Rec = Gerald
Recktenwald, Numerical Methods with
Matlab
Mol = Cleve Moler, Numerical
Computing with Matlab
Week 5:
Topics:- Norms and condition
numbers.
Class 28 of Ell covers
norms and condition numbers. The treatment in Ell is somewhat different than
what we did. In particular I did not cover the Frobenius norm. Furthermore, I
did not discuss using Eigevalues for computing the Matrix 2-norm. In passing
Class 29 of Ell discusses LU decomposition, strictly speaking LU decomposition
is last weeks topic.
Vector and
matrix norms are covered in Rec sections 7.1.2 and 7.2.4 respectively. Section
8.3 of Rec discusses conditioning and the effects of small perturbations on
ill-conditioned systems. My lectures this week follow the presentation in
Rec.
As usual Mol uses the
fewest words to cover a topic, and you can find his treatment of norms and
condition numbers in section 2.9.
Posted: Fri - October 14, 2005 at 12:04 PM