Geodesic
Riccati matrix differential equation and the discrete order preserving property
Archivum mathematicum, Tome 59 (2023) no. 1, pp. 125-131

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MR Zbl
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.
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.
DOI : 10.5817/AM2023-1-125
Classification : 34A40, 39A22
Keywords: Riccati matrix equation; order preserving property; symplectic matrix 
Štoudková Růžičková, Viera. Riccati matrix differential equation and the discrete order preserving property. Archivum mathematicum, Tome 59 (2023) no. 1, pp. 125-131. doi: 10.5817/AM2023-1-125
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     url = {http://geodesic.mathdoc.fr/articles/10.5817/AM2023-1-125/}
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[2] Stokes, A.N.: A special property of the matrix Riccati equation. Bull. Austral. Math. Soc. 10 (1974), 245–253. | DOI

[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

[4] Štoudková Růžičková, V.: Discrete Riccati matrix equation and the order preserving property. Linear Algebra Appl. 618 (2021), 58–75. | MR

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