SYMMETRIC 2 x 2 MATRIX FUNCTIONS WITH ORDER PRESERVING PROPERTY

被引：0

作者：

Ruzickova, Viera Stoudkova ^{[1
]}

机构：

[1] Brno Univ Technol, Inst Math, Fac Mech Engn, Brno, Czech Republic

来源：

OPUSCULA MATHEMATICA | 2024年 / 44卷 / 06期

关键词：

Riccati matrix equation; order preserving property; symmetric matrix function;

D O I：

10.7494/OpMath.2024.44.6.853

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：853 / 882

页数：30

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