Open Access
2014 Discussion for H-Matrices and It’s Application
Guichun Han, Huishuang Gao, Haitao Yang
J. Appl. Math. 2014: 1-6 (2014). DOI: 10.1155/2014/870592


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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Guichun Han. Huishuang Gao. Haitao Yang. "Discussion for H-Matrices and It’s Application." J. Appl. Math. 2014 1 - 6, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131942
MathSciNet: MR3198412
Digital Object Identifier: 10.1155/2014/870592

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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