UD Math

University of Delaware

Numerical linear and nonlinear algebra

Instructor Prof. Toby Driscoll
505 Ewing Hall
831-3383 or driscoll(AT)math.udel.edu
Office hours: Tue 9:30-11:00, Thur 1:30-3:00, or by appt
Meetings MWF 2:30-3:20, in Ewing 205

Matrixpedia

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Course calendar

August 2007
MondayTuesdayWednesdayThursdayFriday
27
28
29
Introduction
30
MATLAB
September 2007
MondayTuesdayWednesdayThursdayFriday
3
Labor Day--no class
4
5
Lab 1: Linear image processing
blur.m, motion.m
6
7
Orthogonality
Norms
11
SVD
13
14
Projectors
QR factorization
gs.m
18
19
Gram-Schmidt orthogonalization
mgs.m,gsdemo.m
20
21
Householder triangularization
24
Least squares
25
26
Guest lecture; review of HW 1
27
28
Conditioning
October 2007
MondayTuesdayWednesdayThursdayFriday
1
Floating point arithmetic
2
3
Stability
4
5
Lab 2: Stability experiments
Gaussian elimination, or triangular triangularization
9
Pivoting
lupivot.m
11
12
HW/Exam review
15
Midterm 1 (Chaps I-III)
16
Stability of LU; Cholesky
cholesky.m
18
19
Lab 3: Image restoration
blur.m, restoretest.mat
22
Eigenvalue preliminaries
23
24
Hessenberg reduction
25
26
FALL BREAK
Rayleigh quotient, inverse iteration
poweriter.m, inviter.m
30
31
QR algorithm
November 2007
MondayTuesdayWednesdayThursdayFriday
1
2
Lab 4: Pseudospectra and dynamics
lab4.mat
5
Overview of iterative LA
6
7
Arnoldi iteration
8
9
Arnoldi and eigenvalues
arnoldi.m, arnoldidemo.m
12
GMRES
13
14
Lanczos iteration
15
16
Midterm 2 (Chaps IV-V)
19
Conjugate gradients
20
21
Lab 5: Large-scale image restoration
22
THANKSGIVING
23
THANKSGIVING
26
Nonlinear systems of equations
27
28
Lab 5a: 2D image reconstruction (direct)
letterR.png
29
30
Lab 5b: 2D image reconstruction (iterative)
adam.png
December 2007
MondayTuesdayWednesdayThursdayFriday
3
4
5
6
7
10
11
12
13
14
17
18
19
20
21