SES # | Lecture summaries | HANDOUTs |
---|---|---|
1 | No handouts | |
2 |
Performance experiments with matrix multiplication (PDF) Ideal-cache terminology (PDF) | |
3 | Experiments with cache-oblivious matrix-multiplication (PDF) | |
4 |
Notes on floating-point (PDF) *Note: Files in this section are from a previous version of the course. | |
5 | No handouts | |
6 | No handouts | |
7 | No handouts | |
8 | No handouts | |
9 | No handouts | |
10 |
Gram-Schmidt notes (PDF) Householder notes (PDF) *Note: Files in this section are from a previous version of the course. | |
11 | No handouts | |
12 | No handouts | |
13 | Hessenberg factorization and its applications, power methods |
Hessenberg handout (PDF) *Note: Files in this section are from a previous version of the course. |
14 | No handouts | |
15 | No handouts | |
16 | No handouts | |
17 | No handouts | |
18 | No handouts | |
19 | Shewchuk, Jonathan Richard. "An Introduction to the Conjugate Gradient Method Without the Agonizing Pain." August 4, 1994. Pages 8, and 20. (PDF) | |
20 | No handouts | |
21 |
Summary of options for solving linear systems (PDF) Notes on sparse-direct solvers (PDF) *Note: Second file in this section is from a previous version of the course. | |
22 | Nonlinear conjugate gradient, and conjugate-gradient eigensolvers | No handouts |
23 |
Overview of optimization (PDF) Notes on adjoint methods (PDF) | |
24 | No handouts | |
25 |
Adjoint methods for recurrences, CCSA algorithms
|
Adjoint methods for recurrence relations (PDF) Svanberg, Krister. "A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations." SIAM Journal on Optimization 12, no. 2 (2002): 555-573. Pages 1-10. |
26 | No handouts | |
27 | Quasi-Newton methods | No handouts |
28 | No handouts | |
29 | No handouts | |
30 | Jones, D. R., C. D. Perttunen, and B. E. Stuckman. "Lipschitzian Optimization Without the Lipschitz Constance." Journal of Optimization Theory and Application 79 no. 1 (1993): 157. First few pages. (PDF - 1.5MB) | |
31 |
Notes on error analysis of the trapezoidal rule and Clenshaw-Curtis quadrature in terms of Fourier series. (PDF) Two numerical experiments with trapezoidal rule (PDF) | |
32 | "Clenshaw-Curtis Quadrature." Wikipedia. | |
33 | No handouts |