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The matrix equation $XA-AX=f(X)$ when $A$ is diagonalizable by Bourgeois, Gerald is a scholarly article available to read on EtoBox.

What is The matrix equation $XA-AX=f(X)$ when $A$ is diagonalizable about?

$K$ 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.

Author

Bourgeois, Gerald

Published

2014

Language

EN