Vibration of fast trains, palindromic eigenvalue problems and structure-preserving doubling algorithms

被引：34

作者：

Chu, Eric King-Wah ^{[1
]}

Hwang, Tsung-Min ^{[2
]}

Lin, Wen-Wei ^{[3
]}

Wu, Chin-Tien ^{[4
]}

机构：

[1] Monash Univ, Sch Math Sci, Clayton, Vic 3800, Australia

[2] Natl Taiwan Normal Univ, Dept Math, Taipei 11677, Taiwan

[3] Natl Tsing Hua Univ, Dept Math, Hsinchu 300, Taiwan

[4] Natl Taiwan Ocean Univ, Dept Comp Sci & Engn, Chilung 20224, Taiwan

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 219卷 / 01期

关键词：

palindromic eigenvalue problem; nonlinear matrix equation; structure-preserving; doubling algorithm;

D O I：

10.1016/j.cam.2007.07.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The vibration of fast trains is governed by a quadratic palindromic eigenvalue problem (lambda(2)A(1)(T) + lambda A(0) + A(1))x = 0. where A(0), A1 epsilon C-n (x) (n) and A(0)(T) = A(0). 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. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：237 / 252

页数：16

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