NDLI: Further Results on n-D Polynomial Matrix Factorizations

Content Provider	Springer Nature Link
Author	Lin, Zhiping
Copyright Year	2001
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.
Starting Page	199
Ending Page	208
Page Count	10
File Format	PDF
ISSN	09236082
Journal	Multidimensional Systems and Signal Processing
Volume Number	12
Issue Number	2
e-ISSN	15730824
Language	English
Publisher	Kluwer Academic Publishers
Publisher Date	2001-01-01
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Artificial Intelligence (incl. Robotics) Electronic and Computer Engineering Signal, Image and Speech Processing
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Artificial Intelligence Signal Processing Information Systems Computer Science Applications Software Hardware and Architecture

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Further Results on n-D Polynomial Matrix Factorizations