- Meeting Time and Place
Wed. 3:30 - 5:00 p.m. Jones 131

Office: Jones 128, Tel: 221-2042.

E-mail: ckli@math.wm.edu, http://cklixx.people.wm.edu

We will described some current research linear algebra problems arising from applications. Participants are required to summarize the topics in each meeting, and may present problems of their interest. Here are some basic references.

- Handbook on Linear Algebra.
- Introduction of Quantum Computing.
- Other material on web or from reserach papers.

**
Other learning experience and possible otucomes **

- Students will learn Matlab, Maple to do computer experiments.
- Substantial results may lead to writing projection Math 300, or research papers submitted to research journals.
- Interested students may continue the research in the summer under the support of NSF grant (US citizens or permanent residents), or other research grants offered by the Charles Center.

** Assessment **

- Attend and participate in class discussion. 40%
- Write a short summary, search reference, and add comments after class. 40%
- Do a presentation relating matrix theory and other subjects. 20%

** Presentation schedule **

- Aug. 31. CK Li. Extreme points of convex sets.
- Sept. 7. Diane Pelejo. More on extreme points of convex sets.
- Sept. 14. Chao Ma. Extremal ranks for zero-one matrices.
- Sept. 21. No meeting.
- Sept. 28. Junping Shi. Matrix problems in mathematical biology.
- Sept. 28. Li / Pelejo. Discussion of stability problems.
- Oct. 5. Li. Further discussion on stability problem.
- Oct. 12. Li. Working note of Li and Shi on stability problem.
- Oct. 19. Hambric. Sign patterns for stability.
- Oct. 26. Hambric. Sign patterns for stability, II.
- Nov. 2. CK Li. Decomposition of Permutataions
- Nov. 9. Diane Pelejo. Ph.D. defense.
- Nov. 16. Jamie Arians. Google Page Rank Algorithm
- Nov. 30. CK Li. Quantum channels and quantum states