任意二阶张量的特征张量及其特性分析

The Eigentensors of an Arbitrary Second Order Tensor and Their Quality Analyses

黄永念曾对一个二阶张量引进了一个特征张量的概念 ,且利用它给出了一个常系数常微分方程组得显式解表达式· 最近发现这种特征张量是并矢形式· 利用这种并矢表示可以大大简化张量的运算工作·

A notation of the eigentensors of an arbitrary second_order tensor had been introduced by HUANG Yong_nian(1992). By using this notation an explicit solution of homogeneous linear ordinary differential equations with constant coefficients had been given. Recently, it is found that these eigentensors are dyads. By using these dyads the tensor calculations can be simplified greatly.