lapackers

[Ming Gu <mgu@math.berkeley.edu>]

               Math 290, Section 25, CS 298, Section 6,
                          Fall 2009
         (Matrix Computations and Scientific Computing)

Hope you had a wonderful summer. Our seminar starts next
week with a talk by our very own, Prof. Maciej Zworski. 

As always, we meet WEDNESDAYS 11:10 - noon in Room 380 Soda Hall, Berkeley 
campus.
The coordinators are Profs. J. Demmel (demmel@cs.berkeley.edu), 
M. Gu (mgu@math.berkeley.edu), and B. N. Parlett (parlett@math.berkeley.edu). 
The program will be a mixture of research talks and tutorials.
The tutorials will provide a partial sequel to Math 221.

Date: Sept 2
Speaker: Maciej Zworski, UC Berkeley
Title: Density of eigenvalues for small random perturbations 
       of Berezin-Toeplitz matrices 

Abstract: For the Berezin-Toeplitz quantization of complex valued
functions on a 2n-dimensional torus the expected number of eigenvalues
of small random perturbations of a quantized observable satises a
natural Weyl law, that is, a simple distribution law with density
determined by the original function.  In numerical experiments the
same Weyl law also holds for "false" eigenvalues created by
pseudospectral effects.

I will explain this well known quantization procedure which
generalizes the usual Toeplitz matrix construction, present some
simple numerical examples (and questions for numerical experts), and
indicate the ideas behind the proof.

Date:    Sept. 9 
Speaker: Prof. Velvel Kahan, UC Berkeley