非奇异H-矩阵的判定及其在神经网络系统中的应用

Criteria for nonsingular H-matrices and its application on neural network system

非奇异H-矩阵在矩阵分析和数值代数的研究中具有重要作用,但判别H-矩阵是十分困难的.通过对矩阵行标作划分的方法,给出了非奇异H-矩阵新的判定条件,改进了已有结果,将其应用在神经网络系统中,并给出数值例子说明结果的有效性.

Nonsingular H- matrices play a very important role in the research of matrix analysis and numerical algebra. But it is difficult to determine whether a matrix is a nonsingular H- matrix or not. Some sufficient conditions for nonsingular H- matrices are obtained according to the partition of the row indices,which improved some related results. And its application on neural network system is given. A numerical example is given to show its effectivity.