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中文摘要：
针对在实用中判别H-矩阵的困难性,通过对矩阵行标作划分的方法,给出了判定非奇异H-矩阵的一组新条件,改进了近期的相关结果,并给出其在神经网络系统中的应用。相应数值示例说明了结果的有效性。
英文摘要：
Nonsingular H-matrices play a very important role in the research of matrix analysis and numerical algebra.But it is difficult to determine a nonsingular H-matrix in practice.In this paper,some sufficient conditions for nonsingular H-matrices are obtained according to the partition of the row indices,some related results are improved,and its application on neural network system is given.Advantages of results obtained are illustrated by a numerical example.
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