文献类型：期刊文献

中文题名：Sensitivity Analysis of Semi-simple Eigenvalues of Regular Quadratic Eigenvalue Problems

英文题名：Sensitivity Analysis of Semi-simple Eigenvalues of Regular Quadratic Eigenvalue Problems

作者：Hui-qing XIE[1]

机构：[1]Department of Mathematics, East China University of Science and Technology

年份：2015

卷号：31

期号：2

起止页码：499

中文期刊名：Acta Mathematicae Applicatae Sinica

外文期刊名：应用数学学报（英文版）

收录：CSTPCD;;Scopus;CSCD:【CSCD2015_2016】；PubMed;

基金：Supported by Shanghai Natural Science Fund(No.15ZR1408400)

语种：英文

中文关键词：sensitivity analysis; quadratic eigenvalue problems; multiple eigenvalue; matrix-valued functions

外文关键词：sensitivity analysis; quadratic eigenvalue problems; multiple eigenvalue; matrix-valued functions

摘要：This paper discusses the sensitivity analysis of semisimple eigenvalues and associated eigen-matrix triples of regular quadratic eigenvalue problems analytically dependent on several parameters. The directional derivatives of semisimple eigenvalues are obtained. The average of semisimple eigenvalues and corresponding eigen-matrix triple are proved to be analytic, and their partial derivatives are given. On these grounds, the sensitivities of the semisimple eigenvalues and corresponding eigenvector matrices are defined.
This paper discusses the sensitivity analysis of semisimple eigenvalues and associated eigen-matrix triples of regular quadratic eigenvalue problems analytically dependent on several parameters. The directional derivatives of semisimple eigenvalues are obtained. The average of semisimple eigenvalues and corresponding eigen-matrix triple are proved to be analytic, and their partial derivatives are given. On these grounds, the sensitivities of the semisimple eigenvalues and corresponding eigenvector matrices are defined.