Singular Dependence of Repeated Eigenvalues

1981 ◽  
pp. 1443-1456
Author(s):  
Bernard Rousselet
Keyword(s):  
Repeated Eigenvalues

Inverse sensitivity method to self-adjoint systems with repeated eigenvalues

AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 933-938
Author(s):  
H. W. Song ◽  
L. F. Chen ◽  
W. L. Wang
Keyword(s):  
Adjoint Systems ◽  
Repeated Eigenvalues ◽  
Sensitivity Method

Asymptotic behavior of repeated eigenvalues of perturbed self-adjoint elliptic operators

2021 ◽  
pp. 1-16
Author(s):  
Alexander Dabrowski
Keyword(s):  
General Type ◽  
Differential Operators ◽  
Laplacian Operator ◽  
Variational Characterization ◽  
Repeated Eigenvalues ◽  
Direct Extension ◽  
Asymptotic Formulae ◽  
Elliptic Differential Operators ◽  
Domain Perturbations ◽  
Boundary Deformation

A variational characterization for the shift of eigenvalues caused by a general type of perturbation is derived for second order self-adjoint elliptic differential operators. This result allows the direct extension of asymptotic formulae from simple eigenvalues to repeated ones. Some examples of particular interest are presented theoretically and numerically for the Laplacian operator for the following domain perturbations: excision of a small hole, local change of conductivity, small boundary deformation.

Modal sensitivities for repeated eigenvalues and eigenvalue derivatives

AIAA Journal ◽  
1992 ◽  
Vol 30 (3) ◽  
pp. 850-852 ◽  
Author(s):  
Jinsiang Shaw ◽  
Suhada Jayasuriya
Keyword(s):  
Repeated Eigenvalues ◽  
Eigenvalue Derivatives

Simplified calculation of eigenvector derivatives with repeated eigenvalues

AIAA Journal ◽  
1996 ◽  
Vol 34 (4) ◽  
pp. 859-862 ◽  
Author(s):  
Da-tong Song ◽  
Wan-zhi Han ◽  
Su-huan Chen ◽  
Zhi-ping Qiu
Keyword(s):  
Repeated Eigenvalues ◽  
Eigenvector Derivatives ◽  
Simplified Calculation

Comment on "Eigenvector Derivatives with Repeated Eigenvalues"

AIAA Journal ◽  
1990 ◽  
Vol 28 (10) ◽  
pp. 1846-1846 ◽  
Author(s):  
William C. Mills-Curran
Keyword(s):  
Repeated Eigenvalues ◽  
Eigenvector Derivatives
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