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The matrix equation $XA-AX=f(X)$ when $A$ is diagonalizable
Published 31 Jul 2014 in math.RA | (1407.8468v1)
Abstract: $K$ is an algebraically closed field with characteristic $0$ and $f$ is a polynomial or a holomorphic function. We study all solutions of the equation $XA-AX=f(X)$, in the unknown $X\in M_n(K)$, when $A\in M_n(K)$ is diagonalizable.
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