DocumentCode :
841332
Title :
Using the Cayley-Hamilton theorem with N-partitioned matrices
Author :
Warwick, K.
Author_Institution :
University of Newcastle upon Tyne, Newcastle upon Tyne, England
Volume :
28
Issue :
12
fYear :
1983
fDate :
12/1/1983 12:00:00 AM
Firstpage :
1127
Lastpage :
1128
Abstract :
A definition is given for the characteristic equation of an 
-partitioned matrix. It is then proved that this matrix satisfies its own characteristic equation. This can then be regarded as a version of the Cayley-Hamilton theorem, of use with -dimensional systems.
-partitioned matrix. It is then proved that this matrix satisfies its own characteristic equation. This can then be regarded as a version of the Cayley-Hamilton theorem, of use with -dimensional systems.Keywords :
Matrices; Circuit synthesis; Equations; Image processing; Multidimensional systems; Polynomials;
fLanguage :
English
Journal_Title :
Automatic Control, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9286
Type :
jour
DOI :
10.1109/TAC.1983.1103193
Filename :
1103193
Link To Document :
