Computation of mixed partial derivatives of eigenvalues and eigenvectors by simultaneous iteration

被引：0

作者：

Andrew, AL ^{[1
]}

Tan, RCE

机构：

[1] La Trobe Univ, Dept Math, Bundoora, Vic 3083, Australia

[2] Natl Univ Singapore, Dept Math, Singapore 119260, Singapore

来源：

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 1999年 / 15卷 / 09期

关键词：

second-order sensitivities of eigenvalues and eigenvectors; subspace iteration; acceleration of convergence;

D O I：

10.1002/(SICI)1099-0887(199909)15:9<641::AID-CNM278>3.0.CO;2-1

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A new simultaneous iteration method is presented for computing mixed second-order partial derivatives of several eigenvalues and the corresponding eigenvectors of a matrix which depends smoothly on some real-valued design parameters. Numerical results illustrate the viability of the method, and show it to be more stable than a previously published iterative method for derivatives of eigenvectors corresponding to subdominant eigenvalues. Copyright (C) 1999 John Wiley & Sons, Ltd.

引用

页码：641 / 649

页数：9

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