Simultaneous iterative method for the derivatives of several eigenpairs of unsymmetric damped systems

被引：5

作者：

Xie, Huiqing ^{[1
]}

机构：

[1] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

来源：

MECHANICAL SYSTEMS AND SIGNAL PROCESSING | 2015年 / 64-65卷

关键词：

Eigenvector derivative; Eigenvalue derivative; Damped system; Iterative method; REPEATED EIGENVALUES; COMPUTING DERIVATIVES; EIGENVECTORS; COMPUTATION; SENSITIVITY; DISTINCT;

D O I：

10.1016/j.ymssp.2015.04.005

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, a new iterative method is proposed to calculate a few eigenpair derivatives of damped systems. The proposed method simultaneously computes the derivatives of several simple eigenvalues and their corresponding eigenvectors. Eigenpair derivatives are directly determined in n-space. Moreover, our method does not require the left eigenvectors. Convergence theory of the proposed method is given. On these grounds, using vector epsilon-algorithm, acceleration techniques for our method are provided and analyzed. Finally some numerical experiments are reported to show the efficiency of the proposed methods. (C) 2015 Elsevier Ltd. All rights reserved.

引用

页码：377 / 384

页数：8

共 20 条

[1] Eigenderivative analysis of asymmetric non-conservative systems [J].

Adhikari, S ;

Friswell, MI .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2001, 51 (06) :709-733

[2] DERIVATIVES OF EIGENVALUES AND EIGENVECTORS OF MATRIX FUNCTIONS [J].

ANDREW, AL ;

CHU, KWE ;

LANCASTER, P .

SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 1993, 14 (04) :903-926

[3]

ANDREW AL, 1979, J I MATH APPL, V24, P209

[4]

Andrew AL, 2000, NUMER LINEAR ALGEBR, V7, P151, DOI 10.1002/1099-1506(200005)7:4<151::AID-NLA191>3.3.CO

[5]

2-D

[6]

Andrew AL, 2002, OPER THEOR, V130, P43

[7]

Brezinski C., 1974, Linear Algebra and Its Applications, V8, P77, DOI 10.1016/0024-3795(74)90010-X

[8]

Brezinski C., 1991, Extrapolation Methods: Theory and Practice, V2

[9] Derivatives of complex eigenvectors using Nelson's method [J].

Friswell, MI ;

Adhikari, S .

AIAA JOURNAL, 2000, 38 (12) :2355-2357

[10]

Gohberg I., 1982, Matrix polynomials

← 1 2 →