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Numerical linear and nonlinear algebra
| Instructor |
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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
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| Meetings |
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MWF 2:30-3:20, in Ewing 205 |
Matrixpedia
Jump to the Matrixpedia site.
Course calendar
August 2007
| Monday | Tuesday | Wednesday | Thursday | Friday |
27 |
28 |
29 Introduction |
30 |
MATLAB |
September 2007
| Monday | Tuesday | Wednesday | Thursday | Friday |
3 Labor Day--no class |
4 |
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
| Monday | Tuesday | Wednesday | Thursday | Friday |
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 |
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November 2007
| Monday | Tuesday | Wednesday | Thursday | Friday |
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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
| Monday | Tuesday | Wednesday | Thursday | Friday |
3 |
4 |
5 |
6 |
7 |
10 |
11 |
12 |
13 |
14 |
17 |
18 |
19 |
20 |
21 |
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