# Vibration of fast trains, palindromic eigenvalue problems and structure-preserving doubling algorithms

Eric King Wah Chu, Tsung-Min Hwang, Wen Wei Lin, Chin Tien Wu

Research output: Contribution to journalArticle

32 Citations (Scopus)

### 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 237-252 16 Journal of Computational and Applied Mathematics 219 1 https://doi.org/10.1016/j.cam.2007.07.016 Published - 2008 Sep 15

### Fingerprint

Doubling
Eigenvalue Problem
Vibration
Efficient Solution

### Keywords

• Doubling algorithm
• Nonlinear matrix equation
• Palindromic eigenvalue problem
• Structure-preserving

### ASJC Scopus subject areas

• Computational Mathematics
• Applied Mathematics

### Cite this

Vibration of fast trains, palindromic eigenvalue problems and structure-preserving doubling algorithms. / Chu, Eric King Wah; Hwang, Tsung-Min; Lin, Wen Wei; Wu, Chin Tien.

In: Journal of Computational and Applied Mathematics, Vol. 219, No. 1, 15.09.2008, p. 237-252.

Research output: Contribution to journalArticle

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