The Diagonally Dominant Degree and Disc Separation for the Schur Complement of Ostrowski Matrix

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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Main Authors: Jianxing Zhao, Feng Wang, Yaotang Li
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/973152
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spelling doaj-f65779c14dc74ac0978b6bf101d012b92020-11-25T00:25:22ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Jianxing Zhao
Feng Wang
Yaotang Li
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
author_facet Jianxing Zhao
Feng Wang
Yaotang Li
author_sort Jianxing Zhao
title 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_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_sort diagonally dominant degree and disc separation for the schur complement of ostrowski matrix
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
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.
url http://dx.doi.org/10.1155/2013/973152
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