Holy Cross Mathematics and Computer Science
MATH 372, Numerical Linear Algebra, Spring 2007
Syllabus and Schedule
Examples, Class Notes, Solutions, Etc.
Assignments
- Lab/Problem Set 1, due: Friday, January 26.
- Problem Set 2, due: Friday, February 2.
- Lab/Problem Set 3, due: Friday, February 9.
- Problem Set 4: From Watkins -- 2.1.17, 2.1.30, 2.1.31, 2.1.32,
2.2.10 with an added part: What is the smallest n for
which MATLAB computes significantly incorrect solutions for the system
Hn x = 1, where 1 denotes a n x 1
column with all entries = 1. Also, how are you measuring
"significantly incorrect?" (You may want to use Maple to do the
computations with exact rational arithmetic for purposes of comparison.),
2.2.14, 2.2.23. due: Friday. February 16 (also see below).
- Problem Set 5: From Watkins -- 2.3.13, 2.5.6, 2.7.25, 2.7.26.
due: Friday, February 23.
- Problem Set 6: From Watkins -- 3.1.5, 3.5.5, 3.5.6, 3.5.13, 3.5.24, 3.5.26.
due: Friday, March 2.
- Problem Set 7: From Watkins -- 3.2.7, 3.2.8, 3.2.16, 3.2.19, 3.2.27, 3.2.41.
due: Friday, March 16.
- Midterm Problem Set due: Friday, March 23.
- Problem Set 8: From Watkins -- 4.1.11, 4.1.13, 4.2.3, 4.2.12, 4.2.19, 4.2.21.
due: Friday, March 30.
- Problem Set 9: From Watkins -- 4.3.8, 4.3.9, 4.3.11, 5.2.17, 5.2.23, 5.3.10.
due: Friday, April 13.
- Problem Set 10: From Watkins -- 5.3.19, 5.3.40, 5.4.45,
5.4.49 parts a,b,c only (also assume the entries of
all matrices are actually real so B* is just the transpose
of B), 7.2.7 (use code from
Jacobi iteration handout from class on 4/11), 7.2.15 (use code from Gauss-Seidel
iteration handout from class on 4/13), Extra Problem: What can you say
about the locations of the eigenvalues of the matrices in Exercises
5.3.17 and 5.3.18 in Watkins based on the Gerschgorin Circle Theorem?
How would that information be useful in applying the shifted inverse power
method (that is, the power method on (A - sI)-1 for various
s)?
due: Friday, April 20.
- Lab/problem set 11 -- due: Monday,
April 30.
- Final Problem Set -- due: 5:00pm on
Wednesday, May 9.
Information and Announcements
- Class dinner 5:30pm on Thursday, May 10.
Related Links
Downloading Information
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Last modified: May 10, 2007