Article ID Journal Published Year Pages File Type
8897991 Linear Algebra and its Applications 2018 23 Pages PDF
Abstract
We provide necessary and sufficient conditions for the generalized ⋆-Sylvester matrix equation, AXB+CX⋆D=E, to have exactly one solution for any right-hand side E. These conditions are given for arbitrary coefficient matrices A, B, C, D (either square or rectangular) and generalize existing results for the same equation with square coefficients. We also review the known results regarding the existence and uniqueness of solution for generalized Sylvester and ⋆-Sylvester equations.
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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