Gerald Bourgeois

activity

20062014

most citedHow to solve the matrix equation XA-AX=f(X)

2 citations · 3 across the 10 of their papers we have counts for

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Showing 2012Show all

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math.RA2012

About the matrix function X->AX+XA

Gerald Bourgeois

Let K be an infinite field such that its characteristic is not 2. We show that, for every $A \in M_{n} (K)$ such that $rank (A) \geq n /2$ , there exists $B\in\mathcal{M}…

math.RA2012

Common Invariant Subspace and Commuting Matrices

Gerald Bourgeois

Let $K$ be a perfect field, $L$ be an extension field of $K$ and $A, B \in M_{n} (K)$ . If $A$ has $n$ distinct eigenvalues in $L$ that are explicitly known, then we can check i…