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A polynomial formula for the solution of the matrix equation \(AX-XA=C\) with a coefficient of simple structure. (English) Zbl 1178.15012

Summary: An explicit formula for some particular solution of the matrix equation \(AX - XA = C\) is obtained when \(A\) is a simple matrix. This formula is polynomial with respect to \(A\) and \(C\).

MSC:

15A24 Matrix equations and identities