广义严格对角占优矩阵的判定及其在神经网络系统中的应用

Methods of sufficient conditions for generalized strictly diagonlly dominant matrices and its application on neural network system

利用非零元素链理论以及方法,给出了判定广义严格对角占优矩阵的几个充分条件,拓广了广义严格对角占优矩阵的判定方法,并给出其在神经网络系统中的应用,结果表明该法不仅有效而且简单实用.

In this paper, some sufficient conditions for a matrix to be a generalized strictly diagonally dominant matrix are given by nonzero elements chain theory and other methods, which generalize criteria of generalized strictly diagonally dominant matrix. These conditions are all simple and practical, give applications on neural network system, and demonstrate the validity of the results.