On solvability of the matrix equation AXB = C over a principal ideal domain
نویسندگان
چکیده
منابع مشابه
Diagonal and Monomial Solutions of the Matrix Equation AXB=C
In this article, we consider the matrix equation $AXB=C$, where A, B, C are given matrices and give new necessary and sufficient conditions for the existence of the diagonal solutions and monomial solutions to this equation. We also present a general form of such solutions. Moreover, we consider the least squares problem $min_X |C-AXB |_F$ where $X$ is a diagonal or monomial matrix. The explici...
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ژورنال
عنوان ژورنال: Modeling, Control and Information Technologies
سال: 2020
ISSN: 2707-1049,2707-1030
DOI: 10.31713/mcit.2020.09