| Title:
|
Riccati matrix differential equation and the discrete order preserving property (English) |
| Author:
|
Štoudková Růžičková, Viera |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
59 |
| Issue:
|
1 |
| Year:
|
2023 |
| Pages:
|
125-131 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we recall discrete order preserving property related to the discrete Riccati matrix equation. We present results obtained by applying this property to the solutions of the Riccati matrix differential equation. (English) |
| Keyword:
|
Riccati matrix equation |
| Keyword:
|
order preserving property |
| Keyword:
|
symplectic matrix |
| MSC:
|
34A40 |
| MSC:
|
39A22 |
| idZBL:
|
Zbl 07675581 |
| idMR:
|
MR4563023 |
| DOI:
|
10.5817/AM2023-1-125 |
| . |
| Date available:
|
2023-02-22T14:35:29Z |
| Last updated:
|
2023-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/151557 |
| . |
| Reference:
|
[1] Coppel, W.A.: Disconjugacy.Lecture Notes in Mathematics, vol. 220, Springer-Verlag, Berlin-New York, 1971. Zbl 0224.34003 |
| Reference:
|
[2] Stokes, A.N.: A special property of the matrix Riccati equation.Bull. Austral. Math. Soc. 10 (1974), 245–253. 10.1017/S0004972700040855 |
| Reference:
|
[3] Šimon Hilscher, R.: Asymptotic properties of solutions of Riccati matrix equations and inequalities for discrete symplectic systems.Electron. J. Qual. Theory Differ. Equ. No. 54 (2015), 1–16. MR 3391867 |
| Reference:
|
[4] Štoudková Růžičková, V.: Discrete Riccati matrix equation and the order preserving property.Linear Algebra Appl. 618 (2021), 58–75. MR 4213703 |
| . |
