Upper and Lower Bounds for Ranks of the Matrix Expression X-XAX

We consider the question of how to take X such that the nonlinear matrix expression X-XAX attains its maximal and minimal possible ranks.

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Bibliographic Details
Main Author: Zhiping Xiong
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/267035
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author Zhiping Xiong
author_facet Zhiping Xiong
author_sort Zhiping Xiong
collection DOAJ
description We consider the question of how to take X such that the nonlinear matrix expression X-XAX attains its maximal and minimal possible ranks.
format Article
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-819b9a31cccc4cd1b23baf1bb97fb8fc2025-02-03T07:24:41ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/267035267035Upper and Lower Bounds for Ranks of the Matrix Expression X-XAXZhiping Xiong0School of Mathematics and Computational Science, Wuyi University, Jiangmen 529020, ChinaWe consider the question of how to take X such that the nonlinear matrix expression X-XAX attains its maximal and minimal possible ranks.http://dx.doi.org/10.1155/2013/267035
spellingShingle Zhiping Xiong
Upper and Lower Bounds for Ranks of the Matrix Expression X-XAX
Abstract and Applied Analysis
title Upper and Lower Bounds for Ranks of the Matrix Expression X-XAX
title_full Upper and Lower Bounds for Ranks of the Matrix Expression X-XAX
title_fullStr Upper and Lower Bounds for Ranks of the Matrix Expression X-XAX
title_full_unstemmed Upper and Lower Bounds for Ranks of the Matrix Expression X-XAX
title_short Upper and Lower Bounds for Ranks of the Matrix Expression X-XAX
title_sort upper and lower bounds for ranks of the matrix expression x xax
url http://dx.doi.org/10.1155/2013/267035
work_keys_str_mv AT zhipingxiong upperandlowerboundsforranksofthematrixexpressionxxax