中文摘要：

对计算各向同性对称张量函数的3种方法（谱分解法、特征投影算子法和表示定理法）进行了分析比较，同时也对如何计算特征根与特征向量的技巧进行了探讨，并利用3种方法对指数张量函数进行了实例计算．结果表明，表示定理法所用的时间最短，谱分解法次之，为编制计算程序时如何选择计算张量函数的方法提供参考．

英文摘要：

Three methods for the computation of the isotropic tensor function, spectral decomposition method, eigenprojection operator method and representation theorem method, are compared. Different approaches to calculate the eigenvalues and their corresponding eigenvectors are also discussed. As an example, the exponent tensor function is calculated. It is shown that the representation theorem method takes shortest time, followed by the spectral decomposition method. The results could provide guidance for choosing different methods in writing programs for calculation.