Date 
Speaker,
Title and
Abstract 
April
19 
Dr. Niloufer MACKEY Department of Mathematics Western Michigan University STRUCTURED FACTORIZATIONS: WHEN DO THEY EXIST, AND CAN WE COMPUTE THEM? (Continuation of the April 12th talk) 
April
12 
Dr. Niloufer MACKEY Department of Mathematics Western Michigan University STRUCTURED FACTORIZATIONS: WHEN DO THEY EXIST, AND CAN WE COMPUTE THEM? The factorization of a general matrix into a product of structured factors plays a key role in theoretical and computational linear algebra. In this talk we consider the following question: if we apply one of the standard factorizations to a matrix that is already structured, to what extent do the factors have additional structure related to that of the original matrix? And when such structured factorizations exist, can we develop structurepreserving iterations to compute them? We will try to provide some answers! 
April 5 
Ludwig
KUZNIA Department of Mathematics Western Michigan University VARIATIONAL PRINCIPLES IN NONLINEAR FUNCTIONAL ANALYSIS It is well known that in a problem of minimization of lower semicontinuous function f on subsets of Banach space a minimizer may fail to exist. Nevertheless, for some classes of spaces we can prove existence of "small" functions h such that the perturbed function attains its minimum. Traditionally, such results are called variational principles (for example, there are Ekeland's variational principle for metric spaces or BorweinPreiss variational principle for Hilbert spaces). In this talk we discuss how Baire category theorem can be used to prove existence of infinitely many smooth functions h such that f+h attains its minimum. Our presentation is based on 1993 paper by Deville,Godefroy and Zizler. 
March 29 
Ovidiu
FURDUI Department of Mathematics Western Michigan University HOLOMORPHIC FUNCTIONS ON THE UNIT BALL (Continuation) 
March 22 
Ovidiu
FURDUI Department of Mathematics Western Michigan University HOLOMORPHIC FUNCTIONS ON THE UNIT BALL The
classical spaces of holomorphic functions on the unit ball of C^{n }
are introduced, characterizations of lacunary series which belong to
various spaces of holomorphic functions in terms of the Taylor
coefficients are given ,some well known results are reviewed and an
open problem is also discussed.

March 15 
Professor Jim Zhu Department of Mathematics Western Michigan University SHALL WE BUY AND HOLD ? Buy good
mutual funds and hold on to them is touted by many investment advisors
as a sound investment method. We will examine this method using both
theoretical analysis and simulation on historical data. Here you can
find talk's slides and a
related paper

March 8 
Dr.Lixin
Shen Department of Mathematics Western Michigan University COMPUTING OPTICAL FLOW A
fundamental problem in the processing of image sequences is the
measurement of optical flow (or image velocity). In this talk, I will
introduce the concept of optical flow and review various methods for
the estimation of optical flow

February 22 
Yuri
S.Ledyaev Department of Mathematics Western Michigan University Lagrange Stability and Lyapunov Functions (Continuation ) We
continue our survey of Lagrange stability, Lyapunov stability and
asymptotic stability from February 8th. We'll focus on equivalent
analytical description of these concepts in terms of Lyapunov
functions. We'll look at analytical properties of Lyapunov
functions and their relation to analytical properties of righthand
sides of differential equations and inclusions discussing
classical results and examples as well as some recent ones.

February
15 
Dr.
Heike Fassbender AG Numerik Institut Computational Mathematics Fachbereich 1  Mathematik und Informatik TU Braunschweig Braunschweig Germany The coneigenvalues of a matrix as the second set of its eigenvaluesAbstract (click here) 
February 8 
Yuri
S.Ledyaev Department of Mathematics Western Michigan University Lagrange Stability and Lyapunov Functions We
discuss Lagrange stability of solutions of differential
equations and differential inclusions and characterization of these
properties in terms of Lyapunpv functions. This talk presents a review
of known results in this field with an emphasis on converse
Lyapunov
function theorems .

Last modified : April 6, 2006