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。 Starting from the Lanchester equation, this paper makes use of the properties of positive matrices to link the matrix eigenvectors to the firepower index organically. The examples further illustrate that the fire index is an extension of the concept of power coefficient in the Lanchester equation; it is not only related to the weapon itself, but also depends on the weapon system of the entire battle. Firearms also change as certain types of weapons are destroyed and the pattern of combat changes. Firepower also depends on the principle of fire distribution.