Seminar Numerische Mathematik WS 2011/12

Responsible:	Christian Mehl, Volker Mehrmann,
LV-Termine:	Do 14-16 im MA 648
Contents:	Perturbation Theory for Eigenvalue Problems

Literature:	[StSu] G.W. Stewart, Ji Guang Sun. Matrix perturbation theory. Academic Press, Inc., Boston, 1990. ISBN: 0-12-670230-6 [Va] Richard S. Varga. Gersgorin and his circles. Springer Series in Computational Mathematics, 36. Springer-Verlag, Berlin, 2004. ISBN: 3-540-21100-4

The seminar will be held in English.

Date	Presenter	Title	Chapter
Schedule:

Th 20.10.2011		Preliminary meeting
Th 10.11.2011	Vinh Ma	General perturbation theorems	[StSu] IV.1
Th 17.11.2011	Rainer Hartmann	Gersgorin theory I	[Va] 1.1 + 1.2
Th 24.11.2011	Jin Zhuang	Gersgorin theory II	[Va] 1.3 + 1.4
Th 01.12.2011	Carola Schütt	Normal and diagonalizable matrices	[StSu] IV.3 + II.3.3
Th 08.12.2011	Andreas Klöss	Hermitian matrices	[StSu] IV.4
Th 12.01.2012	Christian Zahradnik	Theory of simple invariant subspaces	[StSu] V.1/V.2
Th 19.01.2012	Dörte Wedding/Marina Rotärmel	Hermitian matrices	[StSu] V.3
Th 26.01.2012	Marina Rotärmel/Dörte Wedding	The singular value decomposition	[StSu] V.4

Guests are welcome!

Guidelines for the written handout:

Deadline for sending in a pdf file of the written handout is 17.2.2012.
Everything that was mentioned in the talk should also be in the handout (including proofs).
Proofs that are not given in the literature source need not to be explicitly carried out. If only an idea of proof is given, this is sufficient for the handout as well. However, missing steps in proofs given in the literature source should be worked out in detail.