Publication 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

Type

journal article in Web of Science

Language

English

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

Riccati matrix equation; order preserving property; symmetric matrix function

Authors

ŠTOUDKOVÁ RŮŽIČKOVÁ, V.

Released

10. 10. 2024

Publisher

AGH UNIV SCIENCE & TECHNOLOGY PRESS

Location

KRAKOW

ISBN

1232-9274

Periodical

Opuscula Mathematica

Year of study

44

Number

6

State

Republic of Poland

Pages from

853

Pages to

882

Pages count

30

URL

https://doi.org/10.7494/OpMath.2024.44.6.853

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://doi.org/10.7494/OpMath.2024.44.6.853"
}