## 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

### MSC:

 15A24 Matrix equations and identities
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### References:

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