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

doi:10.1016/j.cam.2007.07.016

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

^*此作品的通信作者

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

39 引文斯高帕斯（Scopus）

摘要

The vibration of fast trains is governed by a quadratic palindromic eigenvalue problem (λ² A₁^T + λ A₀ + A₁) x = 0, where A₀, A₁ ∈ C^{n × n} and A₀^T = 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.

原文	英語
頁（從 - 到）	237-252
頁數	16
期刊	Journal of Computational and Applied Mathematics
卷	219
發行號	1
DOIs	https://doi.org/10.1016/j.cam.2007.07.016
出版狀態	已發佈 - 2008 9月 15

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10.1016/j.cam.2007.07.016

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title = "Vibration of fast trains, palindromic eigenvalue problems and structure-preserving doubling algorithms",

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.",

keywords = "Doubling algorithm, Nonlinear matrix equation, Palindromic eigenvalue problem, Structure-preserving",

author = "Chu, \{Eric King Wah\} and Hwang, \{Tsung Min\} and Lin, \{Wen Wei\} and Wu, \{Chin Tien\}",

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AU - Chu, Eric King Wah

AU - Hwang, Tsung Min

AU - Lin, Wen Wei

AU - Wu, Chin Tien

PY - 2008/9/15

Y1 - 2008/9/15

N2 - 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.

AB - 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.

KW - Doubling algorithm

KW - Nonlinear matrix equation

KW - Palindromic eigenvalue problem

KW - Structure-preserving

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JF - Journal of Computational and Applied Mathematics

IS - 1

ER -

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

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