## Journal of Applied Mathematics

### Discussion for $H$-Matrices and It’s Application

#### Abstract

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.

#### Article information

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

Dates
First available in Project Euclid: 2 March 2015

https://projecteuclid.org/euclid.jam/1425305693

Digital Object Identifier
doi:10.1155/2014/870592

Mathematical Reviews number (MathSciNet)
MR3198412

#### Citation

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. https://projecteuclid.org/euclid.jam/1425305693

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