An iterative method for partial derivatives of eigenvectors of quadratic eigenvalue problems

被引：11

作者：

Xie, Huiqing ^{[1
]}

机构：

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

来源：

BIT NUMERICAL MATHEMATICS | 2012年 / 52卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Partial derivatives of eigenvectors; Iterative method; Quadratic eigenvalue problems; CORRESPONDING EIGENVECTORS; COMPUTATION; SYSTEMS;

D O I：

10.1007/s10543-011-0366-9

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

An iterative method is proposed to compute partial derivatives of eigenvectors of quadratic eigenvalue problems with respect to system parameters. Convergence theory of the proposed method is established. Numerical experiments demonstrate that the proposed method can be used efficiently for partial derivatives of eigenvectors corresponding to dominant eigenvalues.

引用

页码：525 / 536

页数：12

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