DECOMPOSITION THEOREM AND k-HYPERCONNECTION EXPRESSIONS FOR GENERAL k-ORDER COFACTORS  

DECOMPOSITION THEOREM AND k-HYPERCONNECTION EXPRESSIONS FOR GENERAL k-ORDER COFACTORS

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作  者:黄汝激 

机构地区:[1]University of Science and Technology,Beijing

出  处:《Journal of Electronics(China)》1991年第4期307-316,共10页电子科学学刊(英文版)

摘  要:Two k-hyperconnection expressions of a general k-order cofactor Y<sub>(i,j)</sub> are presentedfor the indefinite parameter matrix Y of a linear system by applying directed hypergraph theory,and based on it a decomposition theorem of Y<sub>(i,j)</sub> is derived.By this theorem,the multi-leveltearing and analysis can be carried out easily for any linear large system.This is a new mul-tilevel topological analysis method.Using proposed method the scale of systems which can betopologically analysed by a computer will be enlarged.Two k-hyperconnection expressions of a general k-order cofactor Y_((i,j)) are presented for the indefinite parameter matrix Y of a linear system by applying directed hypergraph theory, and based on it a decomposition theorem of Y_((i,j)) is derived.By this theorem,the multi-level tearing and analysis can be carried out easily for any linear large system.This is a new mul- tilevel topological analysis method.Using proposed method the scale of systems which can be topologically analysed by a computer will be enlarged.

关 键 词:Directed hypergrsph theory k-Order COFACTOR k-Hyperconnection MULTILEVEL TOPOLOGICAL analysis 

分 类 号:TN01[电子电信—物理电子学]

 

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