Discrete Riccati matrix equation and the order preserving property
Loading...
Date
2021-02-03
Authors
ORCID
Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Altmetrics
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.
Description
Citation
LINEAR ALGEBRA AND ITS APPLICATIONS. 2021, vol. 618, issue 6, p. 58-75.
https://www.sciencedirect.com/science/article/pii/S0024379521000409
https://www.sciencedirect.com/science/article/pii/S0024379521000409
Document type
Peer-reviewed
Document version
Accepted version
Date of access to the full text
2023-02-03
Language of document
en
Study field
Comittee
Date of acceptance
Defence
Result of defence
Document licence
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
http://creativecommons.org/licenses/by-nc-nd/4.0/