Generalized Eigenproblem

2010 ◽  
pp. 227-241
Author(s):  
Peter Butkovič
Keyword(s):  
Generalized Eigenproblem

Papers on the Generalized Eigenproblem

G.W. Stewart ◽  
2010 ◽  
pp. 632-694
Author(s):  
Misha E. Kilmer ◽  
Dianne P. O’Leary
Keyword(s):  
Generalized Eigenproblem

The Generalized Eigenproblem

G.W. Stewart ◽  
2010 ◽  
pp. 105-109
Author(s):  
Zhaojun Bai
Keyword(s):  
Generalized Eigenproblem

A homotopy algorithm for a symmetric generalized eigenproblem

1993 ◽  
Vol 4 (1) ◽  
pp. 167-195 ◽  
Author(s):  
Kuiyuan Li ◽  
Tien-Yien Li
Keyword(s):  
Homotopy Algorithm ◽  
Generalized Eigenproblem

Eigenvector Derivatives of Generalized Nondefective Eigenproblems With Repeated Eigenvalues

1995 ◽  
Vol 117 (1) ◽  
pp. 207-212 ◽  
Author(s):  
Y.-Q. Zhang ◽  
W.-L. Wang
Keyword(s):  
Recent Work ◽  
New Method ◽  
First Eigenvalue ◽  
Numerical Examples ◽  
Repeated Eigenvalues ◽  
Generalized Eigenproblem ◽  
Eigenvalue Derivatives ◽  
Eigenvector Derivatives ◽  
Eigenvalue And Eigenvector ◽  
Derivatives Of

A new method is presented for computation of eigenvalue and eigenvector derivatives associated with repeated eigenvalues of the generalized nondefective eigenproblem. This approach is an extension of recent work by Daily and by Juang et al. and is applicable to symmetric or nonsymmetric systems. The extended phases read as follows. The differentiable eigenvectors and their derivatives associated with repeated eigenvalues are determined for a generalized eigenproblem, requiring the knowledge of only those eigenvectors to be differentiated. Moreover, formulations for computing eigenvector derivatives have been presented covering the case where multigroups of repeated first eigenvalue derivatives occur. Numerical examples are given to demonstrate the effectiveness of the proposed method.

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