[Turkmath:7649] Yeditepe Universitesi Matematik Bolumu Seminerleri: 26 Nisan 2011 /Yediitepe University , Department of Mathematics, Departmental Seminar onApril 26, 2011

[Itır Mogultay]

Degerli Liste Uyeleri;

Yeditepe Universitesi Matematik Bolumu Seminerleri kapsaminda 26 Nisan Salı gunu  Koc Universitesi Matematik Bolumu Ogretim Uyesi  "Emre Mengı" konusmaci olacaktir.  Konusma ile ilgili detayli bilgi asagidadir:

Gun: 26 Nisan, Sali, 2pm-3pm.
Yer: Yeditepe Universitesi Matematik Bolumu Seminer Odasi.
Konusmaci: Emre Mengi (Koc Universitesi).

Baslik: Nearest Pencils with Specified Eigenvalues

Ozet: We consider the distance (w.r.t. the operator 2-norm)
from a pencil A-lambda B to the nearest pencil with eigenvalues
lying in a given region in the complex plane. This distance was
suggested to estimate the shape of an algebraic curve given
moments over the region enclosed by the algebraic curve. We
derive a singular value optimization characterization for the distance.
The derived characterization can be solved numerically by the help
of quasi-Newton and Lipschitz-based algorithms. If time permits, I will
talk about a special case; the distance to the nearest matrix with a
multiple eigenvalue (studied extensively by Wilkinson and Ruhe in
1970s) and its connection with the pseudospectra, the set of eigenvalues
of all matrices within an epsilon neighborhood.



Saygilarimla;
ITIR MOGULTAY.

___________________________________________________________________________

Dear Group Members;

On April 26, 2011, our seminar speaker at the Department of Mathematics, Yeditepe University,  will be  " Emre Mengi" from the Department of Mathematics, Koc University. The title and the abstract of hıs talk are given below:

Date: April 26, 2pm-3pm
Place: Seminar room, Department of Mathematics, Yeditepe University
Speaker: Emre Mengi (Koc University)

Title: Nearest Pencils with Specified Eigenvalues

Abstract: We consider the distance (w.r.t. the operator 2-norm)
from a pencil A-lambda B to the nearest pencil with eigenvalues
lying in a given region in the complex plane. This distance was
suggested to estimate the shape of an algebraic curve given
moments over the region enclosed by the algebraic curve. We
derive a singular value optimization characterization for the distance.
The derived characterization can be solved numerically by the help
of quasi-Newton and Lipschitz-based algorithms. If time permits, I will
talk about a special case; the distance to the nearest matrix with a
multiple eigenvalue (studied extensively by Wilkinson and Ruhe in
1970s) and its connection with the pseudospectra, the set of eigenvalues
of all matrices within an epsilon neighborhood.


Sincerely;
ITIR MOGULTAY.


___________________________________________________

Itır Mogultay
Assistant Professor
Department of Mathematics
Yeditepe University, Turkey

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