Lanchester方程与火力指数的内在联系

本文从Lanchester 方程出发,利用正矩阵的特性,将矩阵特征向量与火力指数有机地联系起来。通过例子进一步说明火力指数是Lanchester 方程中威力系数概念的推广;它不仅与武器本身有关,而且依赖于整个战斗的武器配系。当某些种类的武器被摧毁,战斗格局发生一定变化时,火力指数也会发生变化。火力指数还决定于火力分配原则。

The Inner Relations Between Lanchester Equations and the Fire Indexes

This paper reveals the inner relationship between the characteristicvectors of Lanchester equations and fire indexes with the help of theproperty of positive matrixes.By way of examples the paper further shows that the fire indexes arethe extension of the notion of power coefficients in Lanchester equations.Itis pointed out that the fire indexes are not only related to the weapons,butalso depend on the disposition of troops in a whole battle.When some kindsof weapons are destroyed the fire indexes will change with situation.Thefire indexes also depend on the principles of weapon assignment.Thus therelationship between fire indexes and tactical principles is set up.