Title: Eigenvalue problems for ordinary differential operators and certain Toeplitz matrices           

Speaker: Oksana Guba, UNM Dept of Math & Statistics

Date/Time: Wednesday, October 28, 2009 at 9:00 – 10:00 am        

Location: CSRI Building, Room 90 (Sandia NM)

Brief Abstract: The stability of many physical systems depends on spectral properties of ordinary differential operators posed on the entire line. For numerical purposes,
one restricts the all-line spectral problem to a finite interval spectral problem. The question of how the two problems are related then arises. In this talk, we will discuss eigenvalue problems for an ordinary differential operator acting on the whole line (Problem 1) and large but bounded intervals (Problem 2). More precisely, we will focus on properties of resolvents, eigenvalues, eigenfunctions, and Green's functions for both problems. Also, we will address some of numerical aspects of Problem 2. This includes numerical eigenvalue problems for certain Toeplitz matrices and implementations of QR algorithm in LAPACK.

CSRI POC: James Strickland, (505) 844-8421