Decomposition theorem and k-hyperconnection expressions for general k-order cofactors

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