Title:
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Recent Progress in the Solution of
the Hamiltonian Eigenvalue Problem


David S. Watkins
Department of Mathematics
Washington State University
Pullman, WA 99164-3113

Abstract
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The Hamiltonian Eigenvalue problem arises in numerous applications, so
it would be very useful to have efficient, stable eigensolvers that
preserve Hamiltonian structure.  This problem has turned out to be
more difficult than expected and has even earned the name "Van Loan's
curse".  In this talk we will introduce the Hamiltonian eigenvalue
problem, discuss some applications, pinpoint the difficulties, and
talk about some encouraging recent progress.