Abstract
The vibration of fast trains is governed by a quadratic palindromic eigenvalue problem (λ2 A1T + λ A0 + A1) x = 0, where A0, A1 ∈ Cn × n and A0T = A0. Accurate and efficient solution can only be obtained using algorithms which preserve the structure of the eigenvalue problem. This paper reports on the successful application of the structure-preserving doubling algorithms.
Original language | English |
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Pages (from-to) | 237-252 |
Number of pages | 16 |
Journal | Journal of Computational and Applied Mathematics |
Volume | 219 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2008 Sept 15 |
Keywords
- Doubling algorithm
- Nonlinear matrix equation
- Palindromic eigenvalue problem
- Structure-preserving
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics