Some identities for Moore-Penrose inverses of matrix products
A group of identities are established for the Moore-Penrose inverses and the weighted Moore-Penrose inverses of matrix products AB and ABC. Some consequences and applications are also presented.
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| Published in | Linear & multilinear algebra Vol. 52; no. 6; pp. 405 - 420 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Taylor & Francis Group
01.11.2004
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| Subjects | |
| Online Access | Get full text |
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| Abstract | A group of identities are established for the Moore-Penrose inverses and the weighted Moore-Penrose inverses of matrix products AB and ABC. Some consequences and applications are also presented. |
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| AbstractList | A group of identities are established for the Moore-Penrose inverses and the weighted Moore-Penrose inverses of matrix products AB and ABC. Some consequences and applications are also presented. |
| Author | Cheng †, Shizhen Tian, Yongge |
| Author_xml | – sequence: 1 givenname: Yongge surname: Tian fullname: Tian, Yongge email: ytian@mast.queensu.ca organization: Department of Mathematics and Statistics , Queen's University – sequence: 2 givenname: Shizhen surname: Cheng † fullname: Cheng †, Shizhen organization: Division of Basic Courses , Beijing Institute of Civil Engineering and Architecture |
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| Cites_doi | 10.1016/0024-3795(86)90226-0 10.2748/tmj/1178229307 10.1137/0119069 10.1017/S0305004100030401 10.1016/S0096-3003(02)00796-8 10.1016/0024-3795(94)90084-1 |
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| References | Tian Y (bib10) 2003; 3 bib8 bib5 bib6 bib3 Tian Y (bib9) 2002; 29 bib4 bib12 Ben-Israel A (bib1) 2003 Campbell SL (bib2) 1991 Rao CR (bib7) 1971 bib11 |
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| SubjectTerms | AMS Subject Classifications: 15A09 Drazin inverse Identity Matrix product Moore-Penrose inverse Reverse order law Weighted Moore-Penrose inverse |
| Title | Some identities for Moore-Penrose inverses of matrix products |
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