Discrete Riccati matrix equation and the order preserving property
| dc.contributor.author | Štoudková Růžičková, Viera | cs |
| dc.coverage.issue | 6 | cs |
| dc.coverage.volume | 618 | cs |
| dc.date.accessioned | 2021-09-27T14:52:07Z | |
| dc.date.available | 2021-09-27T14:52:07Z | |
| dc.date.issued | 2021-02-03 | cs |
| dc.description.abstract | It is known that if a symmetric matrix differential equation has the order preserving property and the matrix dimension is at least 2, then this equation is the Riccati matrix differential equation (see A.N. Stokes, A special property of the matrix Riccati equation, Bull. Austral. Math. Soc., 1974). In this paper we prove that a similar statement holds for discrete matrix equations as well. In the proof we use a new approach, in which we extend a discrete function to a continuous one by using the iteration theory and then apply the known result for the continuous case. | en |
| dc.description.embargo | 2023-02-03 | cs |
| dc.format | text | cs |
| dc.format.extent | 58-75 | cs |
| dc.format.mimetype | application/pdf | cs |
| dc.identifier.citation | LINEAR ALGEBRA AND ITS APPLICATIONS. 2021, vol. 618, issue 6, p. 58-75. | en |
| dc.identifier.doi | 10.1016/j.laa.2021.01.021 | cs |
| dc.identifier.issn | 0024-3795 | cs |
| dc.identifier.other | 168953 | cs |
| dc.identifier.uri | http://hdl.handle.net/11012/201671 | |
| dc.language.iso | en | cs |
| dc.publisher | Elsevier | cs |
| dc.relation.ispartof | LINEAR ALGEBRA AND ITS APPLICATIONS | cs |
| dc.relation.uri | https://www.sciencedirect.com/science/article/pii/S0024379521000409 | cs |
| dc.rights | Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International | cs |
| dc.rights.access | openAccess | cs |
| dc.rights.sherpa | http://www.sherpa.ac.uk/romeo/issn/0024-3795/ | cs |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | cs |
| dc.subject | Riccati matrix equation | en |
| dc.subject | order preserving property | en |
| dc.subject | symplectic matrix | en |
| dc.subject | iteration | en |
| dc.title | Discrete Riccati matrix equation and the order preserving property | en |
| dc.type.driver | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | acceptedVersion | en |
| sync.item.dbid | VAV-168953 | en |
| sync.item.dbtype | VAV | en |
| sync.item.insts | 2023.02.03 00:52:49 | en |
| sync.item.modts | 2023.02.03 00:14:23 | en |
| thesis.grantor | Vysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematiky | cs |
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