Affiliation:
1. School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China
2. College of Science, Inner Mongolia Agricultural University, Hohhot 010018, China
Abstract
In this paper, we give the necessary and sufficient conditions for the existence of general solutions, self-adjoint solutions, and positive solutions to the system of AiXBi+CiYDi+EiZFi=Gi(i=1,2) under additional conditions. In addition, we derive the representation of general solutions to the system of AiXBi+CiYDi+EiZFi=Gi(i=1,2), and provide the matrix representation of the self-adjoint solutions and the positive solutions in the sense of the star order.
Funder
NNSFs of China
NSF of Inner Mongolia
Key Laboratory of Infinite-Dimensional Hamilton System and Its Algorithm Application (Inner Mongolia Normal University), Ministry of Education
Inner Mongolia Autonomous Region University Innovation Team Development Plan
Inner Mongolia Agricultural University Basic Discipline Research Launch Fund Project
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