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

journal article in Web of Science

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.

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 in English

Riccati matrix equation; order preserving property; symmetric matrix function

Released

10.10.2024

Publisher

AGH UNIV SCIENCE & TECHNOLOGY 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",
  year="2024",
  volume="44",
  number="6",
  month="October",
  pages="853--882",
  publisher="AGH UNIV SCIENCE & TECHNOLOGY PRESS",
  address="KRAKOW",
  issn="1232-9274"
}