Seminar series
Date
Thu, 19 Feb 2009
Time
14:00 -
15:00
Location
Comlab
Speaker
Dr Christian Mehl
Organisation
University of Birmingham
We discuss numerical methods for the solution of the palindromic eigenvalue problem Ax=λ ATx, where A is a complex matrix. Such eigenvalue problems occur, for example, in the vibration analysis of rail tracks.
The structure of palindromic eigenvalue problems leads to a symmetry in the spectrum: all eigenvalues occur in reciprocal pairs. The need for preservation of this symmetry in finite precision arithmetic requires the use of structure-preserving numerical methods. In this talk, we explain how such methods can be derived.