Some Results on Characterizations of Matrix Partial Orderings

Some Results on Characterizations of Matrix Partial Orderings

Some characterizations of the left-star, right-star, and star partial orderings between matrices of the same size are obtained. Based on those results, several characterizations of the star partial ordering between EP matrices are given. At last, one characterization of the sharp partial ordering be...

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Main Authors: Hongxing Wang, Jin Xu
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2014/408457
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spelling doaj-3272d75d6d7a44d0b0b4a7ee1385dd912020-11-24T22:27:52ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/408457408457Some Results on Characterizations of Matrix Partial OrderingsHongxing Wang0Jin Xu1Department of Mathematics, Huainan Normal University, Anhui 232001, ChinaDepartment of Mathematics, Huainan Normal University, Anhui 232001, ChinaSome characterizations of the left-star, right-star, and star partial orderings between matrices of the same size are obtained. Based on those results, several characterizations of the star partial ordering between EP matrices are given. At last, one characterization of the sharp partial ordering between group matrices is obtained.http://dx.doi.org/10.1155/2014/408457
collection DOAJ
language English
format Article
sources DOAJ
author Hongxing Wang
Jin Xu
spellingShingle Hongxing Wang
Jin Xu
Some Results on Characterizations of Matrix Partial Orderings
Journal of Applied Mathematics
author_facet Hongxing Wang
Jin Xu
author_sort Hongxing Wang
title Some Results on Characterizations of Matrix Partial Orderings
title_short Some Results on Characterizations of Matrix Partial Orderings
title_full Some Results on Characterizations of Matrix Partial Orderings
title_fullStr Some Results on Characterizations of Matrix Partial Orderings
title_full_unstemmed Some Results on Characterizations of Matrix Partial Orderings
title_sort some results on characterizations of matrix partial orderings
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2014-01-01
description Some characterizations of the left-star, right-star, and star partial orderings between matrices of the same size are obtained. Based on those results, several characterizations of the star partial ordering between EP matrices are given. At last, one characterization of the sharp partial ordering between group matrices is obtained.
url http://dx.doi.org/10.1155/2014/408457
work_keys_str_mv AT hongxingwang someresultsoncharacterizationsofmatrixpartialorderings
AT jinxu someresultsoncharacterizationsofmatrixpartialorderings
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