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

https://www.opuscula.agh.edu.pl/om-vol44iss6art5

Full text in the Digital Library

http://hdl.handle.net/11012/250782

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

opuscula_math_4440