线性双向联想存储器

LINEAR BIDIRECTIONAL ASSOCIATIVE MEMORY

提出了一个线性双向联想存储器的模型，一组有限个向量对由一线性算子建立起双向联想关系，此线性算于是一个网络的联结权重矩阵。该权矩阵由最小二乘法决定。由权矩阵的解导出一特殊类型的Ｌｙａｐｕｎｏｖ矩阵方程．本文提供了这种Ｌｙａｐｕｎｏｖ矩阵方程的解。

A model of linear bidirectional associative memory (BAM) isproposed. A finite set of given pair vectors are associated bidirectionallythrough a linear operator, which is the connection weight matrix of a network.The design of the weight matrix is based upon the least squares method.Solution for the weight matrix leads to a special type of Lyapunov matrixequation . Mathematical Solutions of Lyapunov matrix equation are provided.