m-weak group MP inverse
In this paper, we introduce a new matrix decomposition called the m-Core-nilpotent decomposition which is an extension of the Core-nilpotent decomposition. By this new decomposition, we propose a new generalized inverse named the m-weak group MP inverse which unifies the DMP-inverse and weak core in...
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext bestellen |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | |
|---|---|
| container_issue | |
| container_start_page | |
| container_title | |
| container_volume | |
| creator | Jiang, Wanlin Gao, Jiale Zhang, Xiangyu Zuo, Shengxi |
| description | In this paper, we introduce a new matrix decomposition called the
m-Core-nilpotent decomposition which is an extension of the Core-nilpotent
decomposition. By this new decomposition, we propose a new generalized inverse
named the m-weak group MP inverse which unifies the DMP-inverse and weak core
inverse. Some characterizations, properties and representations of the m-weak
group MP inverse are presented. In addition, the proposed generalized inverse
is applicable to solving a restricted matrix equation. |
| doi_str_mv | 10.48550/arxiv.2411.00022 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_2411_00022</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2411_00022</sourcerecordid><originalsourceid>FETCH-arxiv_primary_2411_000223</originalsourceid><addsrcrecordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjE01DMwMDAy4mQQz9UtT03MVkgvyi8tUPANUMjMK0stKk7lYWBNS8wpTuWF0twM8m6uIc4eumAj4guKMnMTiyrjQUbFg40yJqwCABThJtc</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>m-weak group MP inverse</title><source>arXiv.org</source><creator>Jiang, Wanlin ; Gao, Jiale ; Zhang, Xiangyu ; Zuo, Shengxi</creator><creatorcontrib>Jiang, Wanlin ; Gao, Jiale ; Zhang, Xiangyu ; Zuo, Shengxi</creatorcontrib><description>In this paper, we introduce a new matrix decomposition called the
m-Core-nilpotent decomposition which is an extension of the Core-nilpotent
decomposition. By this new decomposition, we propose a new generalized inverse
named the m-weak group MP inverse which unifies the DMP-inverse and weak core
inverse. Some characterizations, properties and representations of the m-weak
group MP inverse are presented. In addition, the proposed generalized inverse
is applicable to solving a restricted matrix equation.</description><identifier>DOI: 10.48550/arxiv.2411.00022</identifier><language>eng</language><subject>Mathematics - Rings and Algebras</subject><creationdate>2024-10</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2411.00022$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2411.00022$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Jiang, Wanlin</creatorcontrib><creatorcontrib>Gao, Jiale</creatorcontrib><creatorcontrib>Zhang, Xiangyu</creatorcontrib><creatorcontrib>Zuo, Shengxi</creatorcontrib><title>m-weak group MP inverse</title><description>In this paper, we introduce a new matrix decomposition called the
m-Core-nilpotent decomposition which is an extension of the Core-nilpotent
decomposition. By this new decomposition, we propose a new generalized inverse
named the m-weak group MP inverse which unifies the DMP-inverse and weak core
inverse. Some characterizations, properties and representations of the m-weak
group MP inverse are presented. In addition, the proposed generalized inverse
is applicable to solving a restricted matrix equation.</description><subject>Mathematics - Rings and Algebras</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNpjYJA0NNAzsTA1NdBPLKrILNMzMjE01DMwMDAy4mQQz9UtT03MVkgvyi8tUPANUMjMK0stKk7lYWBNS8wpTuWF0twM8m6uIc4eumAj4guKMnMTiyrjQUbFg40yJqwCABThJtc</recordid><startdate>20241028</startdate><enddate>20241028</enddate><creator>Jiang, Wanlin</creator><creator>Gao, Jiale</creator><creator>Zhang, Xiangyu</creator><creator>Zuo, Shengxi</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20241028</creationdate><title>m-weak group MP inverse</title><author>Jiang, Wanlin ; Gao, Jiale ; Zhang, Xiangyu ; Zuo, Shengxi</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-arxiv_primary_2411_000223</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Mathematics - Rings and Algebras</topic><toplevel>online_resources</toplevel><creatorcontrib>Jiang, Wanlin</creatorcontrib><creatorcontrib>Gao, Jiale</creatorcontrib><creatorcontrib>Zhang, Xiangyu</creatorcontrib><creatorcontrib>Zuo, Shengxi</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Jiang, Wanlin</au><au>Gao, Jiale</au><au>Zhang, Xiangyu</au><au>Zuo, Shengxi</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>m-weak group MP inverse</atitle><date>2024-10-28</date><risdate>2024</risdate><abstract>In this paper, we introduce a new matrix decomposition called the
m-Core-nilpotent decomposition which is an extension of the Core-nilpotent
decomposition. By this new decomposition, we propose a new generalized inverse
named the m-weak group MP inverse which unifies the DMP-inverse and weak core
inverse. Some characterizations, properties and representations of the m-weak
group MP inverse are presented. In addition, the proposed generalized inverse
is applicable to solving a restricted matrix equation.</abstract><doi>10.48550/arxiv.2411.00022</doi><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext_linktorsrc |
| identifier | DOI: 10.48550/arxiv.2411.00022 |
| ispartof | |
| issn | |
| language | eng |
| recordid | cdi_arxiv_primary_2411_00022 |
| source | arXiv.org |
| subjects | Mathematics - Rings and Algebras |
| title | m-weak group MP inverse |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-10T06%3A14%3A53IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-arxiv_GOX&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=m-weak%20group%20MP%20inverse&rft.au=Jiang,%20Wanlin&rft.date=2024-10-28&rft_id=info:doi/10.48550/arxiv.2411.00022&rft_dat=%3Carxiv_GOX%3E2411_00022%3C/arxiv_GOX%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true |