The primeness degree of an nD polynomial matrix

Wood, J., Rogers, E. and Owens, D.H. (1997) The primeness degree of an nD polynomial matrix. 36th IEEE Conference on Decision and Control IEEE, 4254-9.


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Primeness of nD polynomial matrices is of fundamental importance in multidimensional systems theory. In this paper we define a quantity which describes the ``amount of primeness'' of a matrix and identify it as the concept of grade in commutative algebra. This enables us to produce a theory which unifies many existing results, such as the Bezout identities and complementation laws, while placing them on a firm algebraic footing. We also present applications to autonomous systems, behavioural minimality of regular systems, and transfer matrix factorization.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Southampton Wireless Group
ePrint ID: 250464
Accepted Date and Publication Date:
Date Deposited: 13 Feb 2000
Last Modified: 31 Mar 2016 13:50
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