Electronic Resource
Chichester
:
Wiley-Blackwell
Communications in Numerical Methods in Engineering
14 (1998), S. 879-893
ISSN:
1069-8299
Keywords:
derogatory eigenproblems
;
Jordan blocks
;
Jordan chains
;
Segre characteristic
;
Engineering
;
Numerical Methods and Modeling
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
The major obstacle to determination of the Jordan chains for a highly degenerated eigenproblem is that the triangular combinations of the principal vectors in a Jordan chain are also principal vectors and the linear combinations of the eigenvectors of all Jordan blocks associated with the same eigenvalue are also eigenvectors. These indeterminate constants will hide the Jordan block structure and make the analysis very difficult. We propose an extended matrix method to find the Jordan chains and eliminate the indeterminate constants so that the Jordan block structure can be computed sequentially. An example with the Segre characteristic [(321)11] is given. © 1998 John Wiley & Sons, Ltd.
Type of Medium:
Electronic Resource
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