Journal of Applied Mathematics

Discussion for H -Matrices and It’s Application

Guichun Han, Huishuang Gao, and Haitao Yang

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Nonsingular H -matrices and positive stable matrices play an important role in the stability of neural network system. In this paper, some criteria for nonsingular H -matrices are obtained by the theory of diagonally dominant matrices and the obtained result is introduced into identifying the stability of neural networks. So the criteria for nonsingular H -matrices are expanded and their application on neural network system is given. Finally, the effectiveness of the results is illustrated by numerical examples.

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J. Appl. Math., Volume 2014 (2014), Article ID 870592, 6 pages.

First available in Project Euclid: 2 March 2015

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Han, Guichun; Gao, Huishuang; Yang, Haitao. Discussion for $H$ -Matrices and It’s Application. J. Appl. Math. 2014 (2014), Article ID 870592, 6 pages. doi:10.1155/2014/870592.

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