Canonical form for H-symplectic matrices
| dc.contributor.author | Groenewald, G.J. | |
| dc.contributor.author | Janse van Rensburg, D.B. | |
| dc.contributor.author | Ran, A.C.M. | |
| dc.contributor.researchID | 12066680 - Groenewald, Gilbert Joseph | |
| dc.contributor.researchID | 10838368 - Janse van Rensburg, Dawid Benjamin | |
| dc.contributor.researchID | 20000212 - Ran, Andreas Cornelis Maria | |
| dc.date.accessioned | 2019-02-08T10:30:14Z | |
| dc.date.available | 2019-02-08T10:30:14Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | In this paper we consider pairs of matrices (A,H), with A and H either both real or both complex, H is invertible and skew-symmetric and A is H -symplectic, that is, ATH A = H. A canonical form for such pairs is derived under the transformations (A,H) → (S −1AS, STH S) for invertible matrices S. In the canonical form for the pair, the matrix A is brought in standard (real or complex) Jordan normal form, in contrast to existing canonical forms | |
| dc.identifier.citation | Groenewald, G.J. et al. 2018. Canonical form for H-symplectic matrices. (In Bart, H., Ter Horst, S., Ran, A.C.M. & Woerdeman, H.J., eds. Operator theory, analysis and the state space approach: in Honor of Rien Kaashoek). Operator theory: advances and applications, 271:269-290. [https://doi.org/10.1007/978-3-030-04269-1_11] | en_US |
| dc.identifier.isbn | 978-3-030-04269-1 (Online) | |
| dc.identifier.issn | 0255-0156 | |
| dc.identifier.issn | 978-3-030-04268-4 | |
| dc.identifier.uri | http://hdl.handle.net/10394/31802 | |
| dc.identifier.uri | https://link.springer.com/chapter/10.1007/978-3-030-04269-1_11 | |
| dc.identifier.uri | https://doi.org/10.1007/978-3-030-04269-1_11 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.subject | Indefinite inner product space | en_US |
| dc.subject | Canonical forms | en_US |
| dc.subject | H-symplectic matrices | en_US |
| dc.title | Canonical form for H-symplectic matrices | en_US |
| dc.type | Book chapter | en_US |
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