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...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.展开更多
文摘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.