Hauptseminar Advanced Matrix Analysis (MA602022)
Wintersemester 2011/12
Prof. Dr. Michael M. Wolf, Dr. David Reeb
- Place and date: Thursdays 16:15-17:45, seminar room 03.10.011, Registration
- Contents: * Majorization * Variational principles * Matrix norms * Operator convex and operator monotone functions * Positive and completely positive maps * Non-negative and stochastic matrices * Matrix perturbation theory * Matrix calculus * Matrix groups and semigroups * Fast matrix multiplication * Matrix polynomials and polynomial identities * Eigenvalue inequalities and Horn's conjecture
- Literature: The first five topics are covered in Bhatia "Matrix Analysis" (Springer) and Bhatia "Positive Definite Matrices" (Princeton). For the remaining topics special literature will be provided.
- Prerequisites: Linear Algebra 2 (MA1102)
- Participation in each seminar session is compulsory (schedule below)
News
- Please be prepared for our joint discussion of Matrix Norms in the seminar session on November 24. For the specific points to be discussed, see the drop-down box in the schedule below.
- If you are not able to get a hold of Bhatia's books, you can come by my office (03.12.040, Dr. David Reeb) and get my copy for xeroxing.
- If you have questions during your preparation, contact Dr. David Reeb.
Format of the Presentations
- Duration: approx. 75 minutes, plus time for questions/discussion
- Medium: blackboard (possibly overhead slides or Powerpoint, but then need to go slowly)
- Language: English or German
- In the drop-down boxes in the schedule below it is incidated which points should be covered at least in each presentation. The presenter may want to add other points at his/her choosing for the presentation.