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    National Tsing Hua University Institutional Repository > 理學院 > 數學系 > 期刊論文 >  Structure-Preserving Algorithms for Palindromic Quadratic Eigenvalue Problems Arising from Vibration of Fast Trains

    Please use this identifier to cite or link to this item: http://nthur.lib.nthu.edu.tw/dspace/handle/987654321/45723

    Title: Structure-Preserving Algorithms for Palindromic Quadratic Eigenvalue Problems Arising from Vibration of Fast Trains
    Authors: Tsung-Ming Huang;Wen-Wei Lin;Jiang Qian
    教師: 林文偉
    Date: 2008
    Publisher: Society for Industrial and Applied Mathematics
    Relation: Siam Journal on Matrix Analysis and Applications,Society for Industrial and Applied Mathematics,Volume 30,Issue 4(October 2008),Pages: 1566-1592,Year of Publication: 2008
    Keywords: palindromic quadratic eigenvalue problem
    Abstract: In this paper, based on Patel's algorithm (1993), we propose a structure-preserving algorithm for 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 $\top$-skew-Hamiltonian implicitly restarted shift-and-invert Arnoldi algorithm for solving the resulting $\top$-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.
    URI: http://www.siam.org/
    Appears in Collections:[數學系] 期刊論文

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