The Diagonally Dominant Degree and Disc Separation for the Schur Complement of Ostrowski Matrix
By applying the properties of Schur complement and some inequality techniques, some new estimates of diagonally and doubly diagonally dominant degree of the Schur complement of Ostrowski matrix are obtained, which improve the main results of Liu and Zhang (2005) and Liu et al. (2012). As an applicat...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/973152 |
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| author | Jianxing Zhao Feng Wang Yaotang Li |
| author_facet | Jianxing Zhao Feng Wang Yaotang Li |
| author_sort | Jianxing Zhao |
| collection | DOAJ |
| description | By applying the properties of Schur complement and some inequality techniques, some new estimates of diagonally and doubly diagonally dominant degree of the Schur complement of Ostrowski matrix are obtained, which improve the main results of Liu and Zhang (2005) and Liu et al. (2012). As an application, we present new inclusion regions for eigenvalues of the Schur complement of Ostrowski matrix. In addition, a new upper bound for the infinity norm on the inverse of the Schur complement of Ostrowski matrix is given. Finally, we give numerical examples to illustrate the theory results. |
| format | Article |
| id | doaj-art-f65779c14dc74ac0978b6bf101d012b9 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-f65779c14dc74ac0978b6bf101d012b92025-02-03T01:20:37ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/973152973152The Diagonally Dominant Degree and Disc Separation for the Schur Complement of Ostrowski MatrixJianxing Zhao0Feng Wang1Yaotang Li2School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, ChinaSchool of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, ChinaSchool of Mathematics and Statistics, Yunnan University, Kunming, Yunnan 650091, ChinaBy applying the properties of Schur complement and some inequality techniques, some new estimates of diagonally and doubly diagonally dominant degree of the Schur complement of Ostrowski matrix are obtained, which improve the main results of Liu and Zhang (2005) and Liu et al. (2012). As an application, we present new inclusion regions for eigenvalues of the Schur complement of Ostrowski matrix. In addition, a new upper bound for the infinity norm on the inverse of the Schur complement of Ostrowski matrix is given. Finally, we give numerical examples to illustrate the theory results.http://dx.doi.org/10.1155/2013/973152 |
| spellingShingle | Jianxing Zhao Feng Wang Yaotang Li The Diagonally Dominant Degree and Disc Separation for the Schur Complement of Ostrowski Matrix Journal of Applied Mathematics |
| title | The Diagonally Dominant Degree and Disc Separation for the Schur Complement of Ostrowski Matrix |
| title_full | The Diagonally Dominant Degree and Disc Separation for the Schur Complement of Ostrowski Matrix |
| title_fullStr | The Diagonally Dominant Degree and Disc Separation for the Schur Complement of Ostrowski Matrix |
| title_full_unstemmed | The Diagonally Dominant Degree and Disc Separation for the Schur Complement of Ostrowski Matrix |
| title_short | The Diagonally Dominant Degree and Disc Separation for the Schur Complement of Ostrowski Matrix |
| title_sort | diagonally dominant degree and disc separation for the schur complement of ostrowski matrix |
| url | http://dx.doi.org/10.1155/2013/973152 |
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