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 inLinear & multilinear algebra Vol. 63; no. 9; pp. 1829 - 1836
Main Authors Wang, Hongxing, Liu, Xiaoji
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 02.09.2015
Taylor & Francis Ltd
Subjects
Algebra
core inverse
core partial ordering
generalized inverse
Inverse
Law
Order disorder
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ISSN0308-1087
1563-5139
DOI10.1080/03081087.2014.975702

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Summary: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.
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ISSN:0308-1087
1563-5139
DOI:10.1080/03081087.2014.975702