Publication result detail
SYMMETRIC 2 x 2 MATRIX FUNCTIONS WITH ORDER PRESERVING PROPERTY
ŠTOUDKOVÁ RŮŽIČKOVÁ, V.
Original Title
SYMMETRIC 2 x 2 MATRIX FUNCTIONS WITH ORDER PRESERVING PROPERTY
English Title
SYMMETRIC 2 x 2 MATRIX FUNCTIONS WITH ORDER PRESERVING PROPERTY
Type
WoS Article
Original Abstract
It is known that the discrete matrix Riccati equation has the order preserving property under some assumptions. In this paper we formulate and prove the converse statement for the case when the dimensions of the matrices are 2 x 2 and the order preserving property holds for all such symmetric matrices.
English abstract
It is known that the discrete matrix Riccati equation has the order preserving property under some assumptions. In this paper we formulate and prove the converse statement for the case when the dimensions of the matrices are 2 x 2 and the order preserving property holds for all such symmetric matrices.
Keywords
Riccati matrix equation; order preserving property; symmetric matrix function
Key words in English
Riccati matrix equation; order preserving property; symmetric matrix function
Authors
ŠTOUDKOVÁ RŮŽIČKOVÁ, V.
RIV year
2025
Released
10.10.2024
Publisher
AGH University Press
Location
KRAKOW
ISBN
1232-9274
Periodical
Opuscula Mathematica
Volume
44
Number
6
State
Republic of Poland
Pages from
853
Pages to
882
Pages count
30
URL
Full text in the Digital Library
BibTex
@article{BUT193594,
author="Viera {Štoudková Růžičková}",
title="SYMMETRIC 2 x 2 MATRIX FUNCTIONS WITH ORDER PRESERVING PROPERTY",
journal="Opuscula Mathematica",
year="2024",
volume="44",
number="6",
pages="853--882",
doi="10.7494/OpMath.2024.44.6.853",
issn="1232-9274",
url="https://www.opuscula.agh.edu.pl/om-vol44iss6art5"
}Documents