A pair of simultaneous linear matrix equations \(A_ 1XB_ 1=C_ 1,A_ 2XB_ 2=C_ 2\) and a matrix programming problem. (English) Zbl 0712.15010

This paper extends the author’s earlier result on solvability of a pair of simultaneous equations \(A_ 1\times B_ 1=C_ 1\) and \(A_ 2\times B_ 2=C_ 2\) on the complex field to a general field. Together with a set of necessary and sufficient conditions for the existence of a common solution, an expression for the general solution is provided.
Reviewer: M.E.Sezer


15A24 Matrix equations and identities
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