Title :
Remarks on
-D Polynomial Matrix Factorization Problems
Author_Institution :
Chinese Acad. of Sci., Beijing
Abstract :
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.
Keywords :
matrix decomposition; multidimensional systems; process algebra; computer algebra; minor prime factorization; multidimensional systems; n-D polynomial matrix factorizations; signal processing; Algebra; Circuits; Materials requirements planning; Modules (abstract algebra); Polynomials; $n$-D polynomial matrices; Matrix factorizations; minor primeness; multidimensional ($n$-D) systems; polynomial ring;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2007.909866