MTH 451 Class Notes
MTH 451 Class Notes
I follow
Trefethen and Bau's book. However, some material comes from
Demmel's linear algebra book.
There is no point in just retelling
Trefethen; the notes have introductory material to many
of the subjects
discussed in Trefethen's book. This provides an air of complementarity
and value to these notes.
These notes are a record of what was covered in class.
The notes are posted within 2 days
of the lecture.
There are some key computational demos at the end of this page
(and there are many more on the resource page). Students tend to
dismiss these demos.
You should not. Take the time to download
and run them and do so while at the same time looking
at the code.
Below is a complete list of class lectures.
The 451 sequence for
Summer 2020 is constructed from a subset of these:
Class 1-11, 13-18, 21-24.
Class 1
Class 2
Class 3
Class 4
Class 5
Class 6
Class 7
Class 8
Class 9
Class 10
Class 11
Class 12
Class 13
Class 14
Class 15
Class 16
Class 17
Class 18
Class 19
Class 20
Class 21
Class 22
Class 23
Class 24
These class lectures cover the "Lectures" numbered
1-14, 20-28 of Trefethen and Bau's book.
MTH 341 Notes
Linear Algebra I class notes, following Lay's Linear Algebra book.
MTH 342 Notes
Linear Algebra II class notes, following Axler's Linear Algebra Done Right book.
A Gram Schmidt Illustration using matlab
A least squares matlab example
A simple and explicit A=QR factorization example
SVD and further computational examples are found the resource page.
A code that shows how poorly conditioned polynomial interpolation can get.
and and .
Lecture19 from Trefethen and Bau, as a matlab mlx file. Download and run in matlab.
A fixed point iteration example,
problem 1. Anpther fixed point iteration example,
problem 2.
A code that shows how Newton rootfinding is performed (the compressed/tar file
contains 3 files needed for the demo.
Conjugate gradient codes.