Title :
Decomposition theorem and k-hyperconnection expressions for general k-order cofactors
Author_Institution :
Univ. of Sci. & Technol., Beijing, China
Abstract :
Two k-hyperconnection expressions of a general k-order cofactor Y (ij) are presented for the indefinite parameter matrix Y of a linear system by applying directed hypergraph theory. A decomposition theorem of Y(ij) is derived. By this theorem, the multi-level tearing and analysis can be carried out easily for any linear large system. This will increase the scale of systems which can be topologically analysed by a computer
Keywords :
directed graphs; linear systems; matrix algebra; decomposition theorem; directed hypergraph theory; general k-order cofactors; indefinite parameter matrix; k-hyperconnection expressions; linear system; multi-level tearing; Admittance; Circuits and systems; Frequency domain analysis; Linear systems; Matrix decomposition; Polynomials;
Conference_Titel :
Circuits and Systems, 1991. Conference Proceedings, China., 1991 International Conference on
Conference_Location :
Shenzhen
DOI :
10.1109/CICCAS.1991.184457