Palindromic eigenvalue problems: A brief survey

Eric King wah Chu, Tsung Ming Huang, Wen Wei Lin, Chin Tien Wu

研究成果: 雜誌貢獻期刊論文同行評審

16 引文 斯高帕斯(Scopus)


The T-palindromic quadratic eigenvalue problem (λ2B + λC + A)x = 0, with A,B,C ε Cn×n, CT = C and BT = A, governs the vibration behaviour of trains. Other palindromic eigenvalue problems, quadratic or higher order, arise from applications in surface acoustic wave filters, optimal control of discrete-time systems and crack modelling. Numerical solution of palindromic eigenvalue problems is challenging, with unacceptably low accuracy from the basic linearization approach. In this survey paper, we shall talk about the history of palindromic eigenvalue problems, in terms of their history, applications, numerical solution and generalization. We shall also speculate on some future directions of research.

頁(從 - 到)743-779
期刊Taiwanese Journal of Mathematics
發行號3 A
出版狀態已發佈 - 2010 六月

ASJC Scopus subject areas

  • 數學(全部)


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