| Popis: |
A sufficient condition is given for the relative primeness (RP'ness) of two multidimensional polynomial matrices A(s_1, \cdots ,s_p) and B(s_1,\cdots ,s_p) of sizes \sigma \times r and \kappa \times r , such that (i) \kappa + \sigma is greater than r , (ii) there are r rows of A(s_1, \cdots ,s_p) and B(s_1, \cdots ,s_p) which form a nonsingular matrix. The sufficient condition is in the form of a rank test on a constant matrix having block Toeplitz structure and becomes both necessary and sufficient in the scalar case. |
