Discussion for H-Matrices and It’s Application
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 stabilit...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/870592 |
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| _version_ | 1832550072404934656 |
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| author | Guichun Han Huishuang Gao Haitao Yang |
| author_facet | Guichun Han Huishuang Gao Haitao Yang |
| author_sort | Guichun Han |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-667d0a040a5741aaaf6f723c952651b3 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-667d0a040a5741aaaf6f723c952651b32025-02-03T06:07:47ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/870592870592Discussion for H-Matrices and It’s ApplicationGuichun Han0Huishuang Gao1Haitao Yang2School of Mathematics, Inner Mongolia University for the Nationalities, Tongliao 028000, ChinaSchool of Mathematics, Inner Mongolia University for the Nationalities, Tongliao 028000, ChinaSchool of Mathematics, Inner Mongolia University for the Nationalities, Tongliao 028000, ChinaNonsingular 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.http://dx.doi.org/10.1155/2014/870592 |
| spellingShingle | Guichun Han Huishuang Gao Haitao Yang Discussion for H-Matrices and It’s Application Journal of Applied Mathematics |
| title | Discussion for H-Matrices and It’s Application |
| title_full | Discussion for H-Matrices and It’s Application |
| title_fullStr | Discussion for H-Matrices and It’s Application |
| title_full_unstemmed | Discussion for H-Matrices and It’s Application |
| title_short | Discussion for H-Matrices and It’s Application |
| title_sort | discussion for h matrices and it s application |
| url | http://dx.doi.org/10.1155/2014/870592 |
| work_keys_str_mv | AT guichunhan discussionforhmatricesanditsapplication AT huishuanggao discussionforhmatricesanditsapplication AT haitaoyang discussionforhmatricesanditsapplication |