I'm looking for a necessary and sufficient condition for unique solutions to the Sylvester matrix equation
AX-XD=B over the field F_{2}.
Does anybody know about such condition that involves the coprimeness of the minimal polynomials of A and D ?
Yossi Peretz
It can be proved easily that if the minimal polynomials of A,D are co-prime over F_{2} then unique solution exists for any choice of B.
The question now is: is this condition is also necessary for the existance of unique solution for any choice of B?
0 votes
0 thanks
- Badges
- Science topic
- Similar topics
- Mathematics
- Algebra
- Matrix
More Yossi Peretz's questions See All
Similar questions and discussions