On Relationships between a Linear Matrix Equation and Its Four Reduced Equations
نویسندگان
چکیده
Given the linear matrix equation AXB=C, we partition it into form A1X11B1+A1X12B2+A2X21B1+A2X22B2=C, and then pre- post-multiply both sides of by four orthogonal projectors generated from coefficient matrices A1, B1, B2 to obtain reduced equations. In this situation, each equations involves just one unknown submatrices X11, X12, X21, X22, respectively. paper, study relationships between general solution AXB=C solutions using some highly selective analysis tools in relation ranks, ranges, generalized inverses matrices.
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ژورنال
عنوان ژورنال: Axioms
سال: 2022
ISSN: ['2075-1680']
DOI: https://doi.org/10.3390/axioms11090440