[BANANA] Special LA/Opt seminar

[Gene H Golub]

LA/Opt Seminar
3:15 p.m.
Gates Building, Room 104

Tues, Aug 1, 2006

David Bindel
Univ CA, Berkeley
Title: Spectral Inclusion Regions for Bifurcation Analysis
Abstract:

  To analyze stability of equilibrium solution branches for nonlinear PDE
systems, one usually studies the eigenvalues of the linearized system
along the branch.  Since the discretized systems are large and usually
only a few eigenvalues are relevant to the analysis, it is natural to use
a projection method such as restarted Arnoldi to compute the rightmost
part of the spectra of these linearizations.  In this talk, we describe a
test using on spectral and pseudospectral inclusion bounds that allows us
to decide when we have sufficiently good estimates of all relevant
eigenvectors in order to declare whether or not a system is stable.



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