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 |