DocumentCode :
1173551
Title :
Realizability of communication nets: An application of the Zadeh criterion
Author :
Chen, Chuan
Volume :
21
Issue :
1
fYear :
1974
fDate :
1/1/1974 12:00:00 AM
Firstpage :
150
Lastpage :
151
Abstract :
The concepts of pseudo-Boolean matrix multiplication and pseudo-Boolean matrix adjoint are reviewed. For a given symmetric matrix 
to be realizable as the terminal capacity matrix of an unoriented communication net, it is necessary and sufficient for to be idempotent with respect to multiplication. Another equivalent condition is for to be self-adjoint.
to be realizable as the terminal capacity matrix of an unoriented communication net, it is necessary and sufficient for to be idempotent with respect to multiplication. Another equivalent condition is for to be self-adjoint.Keywords :
Boolean matrices; Communication networks; Large-scale networks and systems; Matrix methods; Automatic control; Bismuth; Circuit theory; Digital filters; Eigenvalues and eigenfunctions; Electronic equipment testing; Gold; Linear matrix inequalities; Signal processing; Symmetric matrices;
fLanguage :
English
Journal_Title :
Circuits and Systems, IEEE Transactions on
Publisher :
ieee
ISSN :
0098-4094
Type :
jour
DOI :
10.1109/TCS.1974.1083810
Filename :
1083810
Link To Document :
