The common Re-nonnegative definite and Re-positive definite solutions to the matrix equations $ A_1XA_1^\ast = C_1 $ and $ A_2XA_2^\ast = C_2 $

Lina Liu,Yinlan Chen

doi:10.3934/math.2022026

The common Re-nonnegative definite and Re-positive definite solutions to the matrix equations $ A_1XA_1^\ast = C_1 $ and $ A_2XA_2^\ast = C_2 $

Lina Liu, Yinlan Chen

Open Access

https://doi.org/10.3934/math.2022026

Copy DOI

Journal: AIMS Mathematics	Publication Date: Jan 1, 2021
License type: cc-by

Affiliation: Hubei Normal University

#Definite Solutions #Consistent Conditions + Show 5 more

Abstract
Full-Text PDF
Similar Papers

Abstract

<abstract><p>In this paper, we consider the common Re-nonnegative definite (Re-nnd) and Re-positive definite (Re-pd) solutions to a pair of linear matrix equations $ A_1XA_1^\ast = C_1, \ A_2XA_2^\ast = C_2 $ and present some necessary and sufficient conditions for their solvability as well as the explicit expressions for the general common Re-nnd and Re-pd solutions when the consistent conditions are satisfied.</p></abstract>

Full Text