A structured staircase algorithm for skew-symmetric/symmetric pencils
Please always quote using this URN:urn:nbn:de:0296-matheon-2473
- We present structure preserving algorithms for the numerical com- putation of structured staircase forms of skew-symmetric/symmetric matrix pencils along with the Kronecker indices of the associated skew- symmetric/symmetric Kronecker-like canonical form. These methods allow deflation of the singular structure and deflation of infinite eigenvalues with index greater than one. Two algorithms are proposed: one for general skew-symmetric/symmetric pencils and one for pencils in 0 which the skew-symmetric matrix is a direct sum of 0 and J = −I I . 0 We show how to use the structured staircase form to solve boundary value problems arising in control applications and present numerical examples.
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| Author: | Ralph Byers, Volker Mehrmann, Hongguo Xu |
|---|---|
| URN: | urn:nbn:de:0296-matheon-2473 |
| Referee: | Frank Schmidt |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2005/09/14 |
| Release Date: | 2005/11/04 |
| Preprint Number: | 260 |
