Characterizations of the core inverse and the core partial ordering
In this note, we revisit the core inverse and the core partial ordering introduced by Baksalary and Trenkler [Linear Multilinear Algebra. 2010;58:681-697]. We prove that the core inverse of is the unique solution of and , and establish several characterizations of the core inverse, the core partial...
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| Published in | Linear & multilinear algebra Vol. 63; no. 9; pp. 1829 - 1836 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Abingdon
Taylor & Francis
02.09.2015
Taylor & Francis Ltd |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0308-1087 1563-5139 |
| DOI | 10.1080/03081087.2014.975702 |
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| Abstract | In this note, we revisit the core inverse and the core partial ordering introduced by Baksalary and Trenkler [Linear Multilinear Algebra. 2010;58:681-697]. We prove that the core inverse of
is the unique solution of
and
, and establish several characterizations of the core inverse, the core partial ordering and the reverse order law for the core inverse. |
|---|---|
| AbstractList | In this note, we revisit the core inverse and the core partial ordering introduced by Baksalary and Trenkler [Linear Multilinear Algebra. 2010; 58:681-697]. We prove that the core inverse of [Image omitted.] is the unique solution of [Image omitted.] and [Image omitted.], and establish several characterizations of the core inverse, the core partial ordering and the reverse order law for the core inverse. In this note, we revisit the core inverse and the core partial ordering introduced by Baksalary and Trenkler [Linear Multilinear Algebra. 2010;58:681-697]. We prove that the core inverse of is the unique solution of and , and establish several characterizations of the core inverse, the core partial ordering and the reverse order law for the core inverse. In this note, we revisit the core inverse and the core partial ordering introduced by Baksalary and Trenkler [Linear Multilinear Algebra. 2010;58:681-697]. We prove that the core inverse of [Formula omitted.] is the unique solution of [Formula omitted.] and [Formula omitted.] , and establish several characterizations of the core inverse, the core partial ordering and the reverse order law for the core inverse. |
| Author | Liu, Xiaoji Wang, Hongxing |
| Author_xml | – sequence: 1 givenname: Hongxing surname: Wang fullname: Wang, Hongxing email: winghongxing0902@163.com organization: Department of Mathematics, Huainan Normal University – sequence: 2 givenname: Xiaoji surname: Liu fullname: Liu, Xiaoji organization: College of Mathematics and Computer Science, Guangxi University for Nationalities |
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| Snippet | In this note, we revisit the core inverse and the core partial ordering introduced by Baksalary and Trenkler [Linear Multilinear Algebra. 2010;58:681-697]. We... In this note, we revisit the core inverse and the core partial ordering introduced by Baksalary and Trenkler [Linear Multilinear Algebra. 2010; 58:681-697]. We... |
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| Title | Characterizations of the core inverse and the core partial ordering |
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