Remarks on n-D polynomial matrix factorization problems

Multidimensional (n-D) polynomial matrix factorizations are intimately linked to many problems of multidimensional systems and Signal processing. This paper gives a new result for a n-D polynomial matrix to have an minor prime factorization using methods from computer algebra. This result may be regarded as a generalization of a previous criterion under a special restriction [IEEE Trans. Circuits Syst. II: Exp Briefs, vol.52, no. 9 (2005)]. Examples are given to illustrate results using computer algebra software system Singular.