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)


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 languageEnglish
Pages (from-to)237-252
Number of pages16
JournalJournal of Computational and Applied Mathematics
Issue number1
Publication statusPublished - 2008 Sep 15



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

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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