DocumentCode :
1184180
Title :
and ö. Hüseyin; Relative primeness of multidimensional polynomial matrices
Author :
Ozguler, B. ; Sezer, E. ; Huseyin, O.
Volume :
27
Issue :
8
fYear :
1980
fDate :
8/1/1980 12:00:00 AM
Firstpage :
729
Lastpage :
732
Abstract :
A sufficient condition is given for the relative primeness (RP\´ness) of two multidimensional polynomial matrices 
and 
of sizes 
and 
, such that (i) 
is greater than 
, (ii) there are rows of and 
which form a nonsingular matrix. The sufficient condition is in the form of a rank test on a constant matrix having block Toeplitz structure and becomes both necessary and sufficient in the scalar case.
and of sizes and , such that (i) is greater than , (ii) there are rows of and which form a nonsingular matrix. The sufficient condition is in the form of a rank test on a constant matrix having block Toeplitz structure and becomes both necessary and sufficient in the scalar case.Keywords :
Multivariable polynomials; Polynomial matrices; Circuit synthesis; Circuit theory; Matrix converters; Multidimensional systems; Network synthesis; Notice of Violation; Polynomials; Resistors; Sufficient conditions; Testing;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1980.1084868
Filename :
1084868
Link To Document :
