Roth's similarity theorem on the consistency of Sylvester's matrix equation AX − XA = C can be extended to a theorem on rank minimization if the common eigenvalues of A and B are nonderogatory or semisimple.
Roth's similarity theorem and rank minimization in the presence of nonderogatory or semisimple eigenvalues
FERRANTE, AUGUSTO;
2013
Abstract
Roth's similarity theorem on the consistency of Sylvester's matrix equation AX − XA = C can be extended to a theorem on rank minimization if the common eigenvalues of A and B are nonderogatory or semisimple.
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