Structure-preserving algorithms for palindromic quadratic eigenvalue problems arising from vibration of fast trains

Tsung Ming Huang, Wen Wei Lin, Jiang Qian

研究成果: 雜誌貢獻期刊論文同行評審

32 引文 斯高帕斯(Scopus)

摘要

In this paper, based on Patel's algorithm (1993), we propose a structure-preserving algorithm or solving palindromic quadratic eigenvalue problems (QEPs). We also show the relationship between the structure-preserving algorithm and the URV-based structure-preserving algorithm by Schröder (2007). For large sparse palindromic QEPs, we develop a generalized Τ-skew-Hamiltonian implicitly restarted shift-and-invert Arnoldi algorithm for solving the resulting Τ-skew-Hamiltonian pencils. Numerical experiments show that our proposed structure-preserving algorithms perform well on the palindromic QEP arising from a finite element model of high-speed trains and rails.

原文英語
頁(從 - 到)1566-1592
頁數27
期刊SIAM Journal on Matrix Analysis and Applications
30
發行號4
DOIs
出版狀態已發佈 - 2008 十二月 1

ASJC Scopus subject areas

  • Analysis

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