DocumentCode
810770
Title
One more counterexample in n -D systems-unimodular versus elementary operations
Author
Sebek, Michael
Author_Institution
Inst. of Inf. Theory & Autom., Czechoslovak Acad. of Sci., Prague, Czechoslovakia
Volume
33
Issue
5
fYear
1988
fDate
5/1/1988 12:00:00 AM
Firstpage
502
Lastpage
503
Abstract
By a simple counterexample, it is shown that there are unimodular matrices which cannot be written as products of elementary matrices in the ring of n -D polynomials. As a consequence, some methods for the solution of n -D matrix polynomial equations published recently, which are based on the elementary operations in the ring of n -D polynomials, do not work
Keywords
matrix algebra; polynomials; elementary matrices; n-D matrix polynomial equations; unimodular matrices; Automation; Control design; Control systems; Equations; Information theory; Polynomials;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.1239
Filename
1239
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