Palindromic eigenvalue problems: A brief survey

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

    研究成果: 雜誌貢獻文章同行評審

    15 引文 斯高帕斯(Scopus)

    摘要

    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.

    原文英語
    頁(從 - 到)743-779
    頁數37
    期刊Taiwanese Journal of Mathematics
    14
    發行號3 A
    DOIs
    出版狀態已發佈 - 2010 六月

    ASJC Scopus subject areas

    • Mathematics(all)

    指紋 深入研究「Palindromic eigenvalue problems: A brief survey」主題。共同形成了獨特的指紋。

    引用此