On the polynomial matrix equation AX + YB = C

Stanisław H. Żak · IEEE Transactions on Automatic Control · 1985

In this note an algorithm for finding a unique solution\{X, Y\}of the bilateral polynominal matrix equationAX + YB = Cis presented. The solution is obtained by solving a set of linear equations. Relations between the bilateral polynomial equation and the unilateral one are also discussed.

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