计算网络多端口多参数高阶灵敏度的简便方法

A Simple Method for the Calculation of the Network Multi-output and Multi-parameter Higher-order Sensitivity

本文首次给出了函数矩阵Hadamard乘积的微分性质,在文献[1]的基础上,推得了网络多端口多参数二阶灵敏度的矩阵表达式。该文指出计算网络多端口多参数二阶灵敏度的简便方法,是通过一个所谓“基础子阵”的Hadamard乘积的简单运算来实现的,这个基本思想同样适用于更高阶情况。

The paper puts forward a differential property of function matrix Hadamard's product. On the basis of paper [1] a formula of network multi-output and multi-parameter second-order sensitivity has been derived. The paper points out that the simple method of the calculation of the network multi-output and multi-parameter second-order sensitivity is realized by means of the simple computation of so-called basic sub-matrix Hadamard's product, and that this fandmental idea is suitable to higher-order as well.