A single layer neural network for the solution of linear equations is presented. The proposed circuit is based on the standard Hopfield model albeit with the added flexibility that the interconnection weight matrix need not be symmetric. This results in an asymmetric Hopfield neural network capable of solving linear equations. PSPICE simulation results are given which verify the theoretical predictions. Experimental results for circuits set up to solve small problems further confirm the operation of the proposed circuit.

翻译：提供了用于解决线性方程式的单一层神经网络。提议的电路以标准Hopfield模型为基础,尽管增加了灵活性,即互连权重矩阵不必对称。这导致了一个能够解决线性方程式的不对称Hopfield神经网络。PSPICE模拟结果用于核实理论预测。为解决小问题而建立的电路的实验结果进一步证实了拟议电路的运行。