Publication detail

SYMMETRIC 2 x 2 MATRIX FUNCTIONS WITH ORDER PRESERVING PROPERTY

ŠTOUDKOVÁ RŮŽIČKOVÁ, V.

English title

SYMMETRIC 2 x 2 MATRIX FUNCTIONS WITH ORDER PRESERVING PROPERTY

Type

WoS Article

Language

en

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.

Keywords in English

Riccati matrix equation; order preserving property; symmetric matrix function

Released

2024-10-10

Publisher

AGH University Press

Location

KRAKOW

ISSN

1232-9274

Volume

44

Number

6

Pages from–to

853–882

Pages count

30

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"
}