an:04171116
Zbl 0712.15010
Mitra, Sujit Kumar
A pair of simultaneous linear matrix equations \(A_ 1XB_ 1=C_ 1,A_ 2XB_ 2=C_ 2\) and a matrix programming problem
EN
Linear Algebra Appl. 131, 107-123 (1990).
00127157
1990
j
15A24
pair of simultaneous linear matrix equations; matrix programming problem; solvability; existence
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.
M.E.Sezer