Abstract
Multivariate (n-D) polynomial matrix factorization is one of important research contents in multidimensional (n-D) systems, circuits, and signal processing. In this paper, several results on n-D polynomial matrices factorization over arbitrary coefficient fields are proved. Based on these results, generalizations of some results on general matrix factorization are obtained for given n-D polynomial matrices whose maximal order minors or lower order minors satisfy certain conditions. The proposed results fit for arbitrary coefficient field and have a wide range of application.
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