Determination of Jordan chains by extended matrices
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 22_Publication in policy or professional journal
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 879-893 |
| Journal / Publication | Communications in Numerical Methods in Engineering |
| Volume | 14 |
| Issue number | 9 |
| Publication status | Published - Sep 1998 |
| Externally published | Yes |
Link(s)
Abstract
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.
Research Area(s)
- Derogatory eigenproblems, Jordan blocks, Jordan chains, Segre characteristic
Citation Format(s)
Determination of Jordan chains by extended matrices. / Wong, S. C.; Leung, A. Y T.
In: Communications in Numerical Methods in Engineering, Vol. 14, No. 9, 09.1998, p. 879-893.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 22_Publication in policy or professional journal
