Proseminar Matrix Analysis (SS 22)
Here you find information about the proseminar on Matrix Analysis in the summer term 2022.
2022-05-24
General Information
- Organizers
Please contact Ihno Schrot if you have questions regarding this seminar.
- Kick-Off Meeting Date
- Monday, April 25, 14:00, in SR 9 (INF 205)
- Date
- Mondays, 14:00 - 16:00
- Room
- Seminarroom 9 (SR 9) in INF 205
We meet in person.
- Level:
- Bachelor students Master students cannot attend this seminar. But, we offer a seminar for Master students, too.
- Language
- German
- Requirements
- You should have attended at least the following courses:
- Analysis 1
- Linear Algebra 1
The following courses are recommended but less important:
- Analysis 2
- Introduction to Numerics
You can of course still join the seminar if you are missing one of the latter courses, but we recommend that you attend the courses in parallel then.
- Registration
- To participate in the proseminar, please register for the proseminar on MÜSLI. The number of participants is limited to 14.
Kick-Off Meeting
The kick-off meeting takes place on Monday, April 25, 14:00, in SR 9 (INF 205). Here, we
- discuss organizational matters,
- form pairs if necessary,
- distribute the topics,
- discuss the schedule.
Topics
The topics will be the chapters of the book Horn, Roger A., and Charles R. Johnson. Matrix analysis. Cambridge university press, 2012. Each speaker pair will choose one chapter and present parts of this chapter.
The password will be shared in the information email for the kick-off meeting and in the kick-off meeting.
The relevant chapters are:
- Unitary Similarity and Unitary Equivalence
- Canonical Forms for Similarity and Triangular Factorizations
- Hermitian Matrices, Symmetric Matrices, and Congruences
- Norms for Vectors and Matrices
- Location and Perturbation of Eigenvalues
- Positive Definite and Semidefinite Matrices
- Positive and Nonnegative Matrices
Goal of the Seminar
Teach your fellow students your topic in an understandable yet professional way!
Expectations
In order to complete the seminar successfully you have to
- attend the weekly meetings,
- prepare and do a presentation of 90min (+10min discussion) in pairs
You do not need to write an essay.
Further we expect
- a thorough understanding of your topic,
- professional display and communication of Mathematics,
- scientific literature work,
- a professional presentation (the presentation technique is up to you).
Schedule
| Date | Topic | Speakers | Comments |
|---|---|---|---|
| April 25th | Kick-Off Meeting | None | |
| May 23rd | Unitary Similarity and Unitary Equivalence | Leo, Yoko | |
| May 30th | Hermitian Matrices, Symmetric Matrices, and Congruences | Amelia, Mingyang | |
| June 13th | Norms for Vectors and Matrices | Janina, Levente | |
| June 27th | Location and Perturbation of Eigenvalues | Anna, David | This talk has been postponed by one week. |
| July 04th | Positive Definite and Semidefinite Matrices | Roujing, Valentin | This talk has been postponed by one week. |
| None | Canonical Forms for Similarity and Triangular Factorizations | None | This talk has been dropped. |
| None | Positive and Nonnegative Matrices | None | This talk has been dropped. |
Grading
We primarly rate your talks based on this rubric.
Literature
We expect you to identify and use further literature if necessary on your own! The following literature suggestions are to be understood as starting points.
- Basis for all talks
The password will be shared in the information email for the kick-off meeting and in the kick-off meeting.
