Derivatives of Eigenvalues and Eigenvectors for a General Matrix

AIAA Journal ◽  
1974 ◽  
Vol 12 (5) ◽  
pp. 721-722 ◽  
Author(s):  
CARL S. RUDISILL
Keyword(s):  
Eigenvalues And Eigenvectors ◽  
General Matrix ◽  
Derivatives Of

Derivatives of Eigenvalues and Eigenvectors of Matrix Functions

1993 ◽  
Vol 14 (4) ◽  
pp. 903-926 ◽  
Author(s):  
Alan L. Andrew ◽  
K.-W. Eric Chu ◽  
Peter Lancaster
Keyword(s):  
Matrix Functions ◽  
Eigenvalues And Eigenvectors ◽  
Derivatives Of

scholarly journals Dynamic and Sensitivity Analysis General Non-Conservative Asymmetric Mechanical Systems

2018 ◽  
Vol 68 (2) ◽  
pp. 105-124 ◽  
Author(s):  
Milan Žmindák
Keyword(s):  
Sensitivity Analysis ◽  
Modal Analysis ◽  
Dynamic Systems ◽  
Mechanical Systems ◽  
Conservative System ◽  
Eigenvalues And Eigenvectors ◽  
Linear Dynamic Systems ◽  
Discretization Methods ◽  
Linear Dynamic ◽  
Derivatives Of

AbstractIn this paper the concept of generalized form of proportional damping is proposed. Classical modal analysis of non-conservative continua is extended to multi DOF linear dynamic systems with asymmetric matrices. Mode orthogonality relationships have been generalized to non-conservative systems. Several discretization methods of continua are presented. Finally, an expression for derivatives of eigenvalues and eigenvectors of non-conservative system is presented. Examples are provided to illustrate the proposed methods.

Direct computation of derivatives of eigenvalues and eigenvectors

1990 ◽  
Vol 36 (3-4) ◽  
pp. 251-255 ◽  
Author(s):  
Alan L Andrew ◽  
Frank R De Hoog ◽  
Roger C.E Tan
Keyword(s):  
Eigenvalues And Eigenvectors ◽  
Direct Computation ◽  
Derivatives Of

Derivatives of eigenvalues and eigenvectors in non-self-adjoint systems.

AIAA Journal ◽  
1973 ◽  
Vol 11 (2) ◽  
pp. 250-251 ◽  
Author(s):  
R. H. PLAUT ◽  
K. HUSEYIN
Keyword(s):  
Eigenvalues And Eigenvectors ◽  
Adjoint Systems ◽  
Derivatives Of
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