TY - JOUR
T1 - Vibration of fast trains, palindromic eigenvalue problems and structure-preserving doubling algorithms
AU - Chu, Eric King Wah
AU - Hwang, Tsung Min
AU - Lin, Wen Wei
AU - Wu, Chin Tien
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
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
UR - http://www.scopus.com/inward/record.url?scp=45249084990&partnerID=8YFLogxK
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U2 - 10.1016/j.cam.2007.07.016
DO - 10.1016/j.cam.2007.07.016
M3 - Article
AN - SCOPUS:45249084990
VL - 219
SP - 237
EP - 252
JO - Journal of Computational and Applied Mathematics
JF - Journal of Computational and Applied Mathematics
SN - 0377-0427
IS - 1
ER -