Abstract
In this paper, some new results on zero prime factorization for a normal full rank n-D (n>2) polynomial matrix are presented. Assume that d is the greatest common divisor (g.c.d.) of the maximal order minors of a given n-D polynomial matrix F 1. It is shown that if there exists a submatrix F of F 1, such that the reduced minors of F have no common zeros, and the g.c.d. of the maximal order minors of F equals d, then F 1 admits a zero right prime (ZRP) factorization if and only if F admits a ZRP factorization. A simple ZRP factorizability of a class of n-D polynomial matrices based on reduced minors is given. An advantage is that the ZRP factorizability can be tested before carrying out the actual matrix factorization. An example is illustrated.
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Lin, Z. Further Results on n-D Polynomial Matrix Factorizations. Multidimensional Systems and Signal Processing 12, 199–208 (2001). https://doi.org/10.1023/A:1011192914450
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DOI: https://doi.org/10.1023/A:1011192914450