摘要
本文应用有向超图理论提出了线性系统不定参数矩阵Y的一般k阶余因式Y_((ii))的两个k超连接表达式,并根据它导出了Y_((ii))的一个分解定理。应用该定理容易对任意线性大系统进行多层撕裂和分析。这是一种新的多层拓扑分析方法,它可以扩大一台计算机所能拓扑分析的系统规模。
Two k-hyperconnection expressions of a general k-order cofactor Y(ij) are presented for the indefinite parameter matrix Y of a linear system, and based on it, a decom-position theorem of Y (ij) is dcrived. By this theorem, the multi-level tearing and analysis can be carried out easily for any large linear system. This is a new multi-level topological analysis method. Using the method the scale of systems which can be topologically analysed by a computer will be increased.
关键词
有向超图
图论
超连接
K阶余因式
Directed hypergraph theory
k-hyperconnection
k-order cofactor
Multilevel topological analysis
