Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 237-252 |
| Number of pages | 16 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 219 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2008 Sep 15 |
Fingerprint
Keywords
- Doubling algorithm
- Nonlinear matrix equation
- Palindromic eigenvalue problem
- Structure-preserving
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics
Cite this
Vibration of fast trains, palindromic eigenvalue problems and structure-preserving doubling algorithms. / Chu, Eric King Wah; Hwang, Tsung-Min; Lin, Wen Wei; Wu, Chin Tien.
In: Journal of Computational and Applied Mathematics, Vol. 219, No. 1, 15.09.2008, p. 237-252.Research output: Contribution to journal › Article
}
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
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
UR - http://www.scopus.com/inward/citedby.url?scp=45249084990&partnerID=8YFLogxK
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 -