Numerical methods for palindromic eigenvalue problems
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Thu, 19/02/2009 14:00 |
Dr Christian Mehl (University of Birmingham) |
Computational Mathematics and Applications  |
Comlab |
| 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. | |||