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ŠTOUDKOVÁ RŮŽIČKOVÁ, V.
Originální název
Discrete Riccati matrix equation and the order preserving property
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
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.
Klíčová slova
Riccati matrix equation, order preserving property, symplectic matrix, iteration
Autoři
Vydáno
3. 2. 2021
Nakladatel
Elsevier
ISSN
0024-3795
Periodikum
LINEAR ALGEBRA AND ITS APPLICATIONS
Ročník
618
Číslo
6
Stát
Spojené státy americké
Strany od
58
Strany do
75
Strany počet
18
URL
https://www.sciencedirect.com/science/article/pii/S0024379521000409
Plný text v Digitální knihovně
http://hdl.handle.net/11012/201671
BibTex
@article{BUT168953, author="Viera {Štoudková Růžičková}", title="Discrete Riccati matrix equation and the order preserving property", journal="LINEAR ALGEBRA AND ITS APPLICATIONS", year="2021", volume="618", number="6", pages="58--75", doi="10.1016/j.laa.2021.01.021", issn="0024-3795", url="https://www.sciencedirect.com/science/article/pii/S0024379521000409" }