Extension of the GSMW Formula in Weaker Assumptions

In this note, the generalized Sherman-Morrison-Woodbury (for short GSMW) formula (A+YGZ∗)⊙=A⊙−A⊙Y(G⊙+Z∗A⊙Y)⊙Z∗A⊙ is extended under some assumptions weaker than those used by Duan, 2013.

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Main Authors: Wenfeng Wang, Xi Chen
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/324836
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author Wenfeng Wang
Xi Chen
author_facet Wenfeng Wang
Xi Chen
author_sort Wenfeng Wang
collection DOAJ
description In this note, the generalized Sherman-Morrison-Woodbury (for short GSMW) formula (A+YGZ∗)⊙=A⊙−A⊙Y(G⊙+Z∗A⊙Y)⊙Z∗A⊙ is extended under some assumptions weaker than those used by Duan, 2013.
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institution Kabale University
issn 1085-3375
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language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-1474b4b2e0e14be7a085ad0c167e5f6f2025-02-03T06:15:12ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/324836324836Extension of the GSMW Formula in Weaker AssumptionsWenfeng Wang0Xi Chen1State Key Laboratory of Desert and Oasis Ecology, Xinjiang Institute of Ecology and Geography, Chinese Academy of Sciences, Urumqi 830011, ChinaState Key Laboratory of Desert and Oasis Ecology, Xinjiang Institute of Ecology and Geography, Chinese Academy of Sciences, Urumqi 830011, ChinaIn this note, the generalized Sherman-Morrison-Woodbury (for short GSMW) formula (A+YGZ∗)⊙=A⊙−A⊙Y(G⊙+Z∗A⊙Y)⊙Z∗A⊙ is extended under some assumptions weaker than those used by Duan, 2013.http://dx.doi.org/10.1155/2014/324836
spellingShingle Wenfeng Wang
Xi Chen
Extension of the GSMW Formula in Weaker Assumptions
Abstract and Applied Analysis
title Extension of the GSMW Formula in Weaker Assumptions
title_full Extension of the GSMW Formula in Weaker Assumptions
title_fullStr Extension of the GSMW Formula in Weaker Assumptions
title_full_unstemmed Extension of the GSMW Formula in Weaker Assumptions
title_short Extension of the GSMW Formula in Weaker Assumptions
title_sort extension of the gsmw formula in weaker assumptions
url http://dx.doi.org/10.1155/2014/324836
work_keys_str_mv AT wenfengwang extensionofthegsmwformulainweakerassumptions
AT xichen extensionofthegsmwformulainweakerassumptions