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 reg...

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Bibliographic Details
Published inIEEE transactions on circuits and systems. II, Express briefs Vol. 55; no. 1; pp. 61 - 64
Main Author Wang, Mingsheng
Format Journal Article
LanguageEnglish
Published IEEE 01.01.2008
Subjects
Algebra
Circuits
Materials requirements planning
Matrix factorizations
minor primeness
Modules (abstract algebra)
multidimensional ( n -D) systems
n -D polynomial matrices
polynomial ring
Polynomials
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Summary: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.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
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content type line 23
ISSN:1549-7747
DOI:10.1109/TCSII.2007.909866