Riccati matrix differential equation and the discrete order preserving property
Archivum Mathematicum (2023)
- Issue: 1, page 125-131
- ISSN: 0044-8753
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Abstract
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topŠtoudková Růžičková, Viera. "Riccati matrix differential equation and the discrete order preserving property." Archivum Mathematicum (2023): 125-131. <http://eudml.org/doc/298993>.
@article{ŠtoudkováRůžičková2023,
abstract = {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.},
author = {Štoudková Růžičková, Viera},
journal = {Archivum Mathematicum},
keywords = {Riccati matrix equation; order preserving property; symplectic matrix},
language = {eng},
number = {1},
pages = {125-131},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Riccati matrix differential equation and the discrete order preserving property},
url = {http://eudml.org/doc/298993},
year = {2023},
}
TY - JOUR
AU - Štoudková Růžičková, Viera
TI - Riccati matrix differential equation and the discrete order preserving property
JO - Archivum Mathematicum
PY - 2023
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
IS - 1
SP - 125
EP - 131
AB - 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.
LA - eng
KW - Riccati matrix equation; order preserving property; symplectic matrix
UR - http://eudml.org/doc/298993
ER -
References
top- Coppel, W.A., Disconjugacy, Lecture Notes in Mathematics, vol. 220, Springer-Verlag, Berlin-New York, 1971. (1971) Zbl0224.34003
- Stokes, A.N., 10.1017/S0004972700040855, Bull. Austral. Math. Soc. 10 (1974), 245–253. (1974) DOI10.1017/S0004972700040855
- 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. (2015) MR3391867
- Štoudková Růžičková, V., Discrete Riccati matrix equation and the order preserving property, Linear Algebra Appl. 618 (2021), 58–75. (2021) MR4213703
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