Please use this identifier to cite or link to this item: http://hdl.handle.net/1822/64252

TitleThe pseudo core inverse of a companion matrix
Author(s)Gao, Yuefeng
Chen, Jianlong
Patrício, Pedro
Wang, Dingguo
KeywordsPseudo core inverse
Core inverse
Core-EP inverse
Companion matrix
Toeplitz matrix
Issue date1-Oct-2018
PublisherAkadémiai Kiadó
JournalStudia Scientiarum Mathematicarum Hungarica
Abstract(s)The notion of core inverse was introduced by Baksalary and Trenkler for a complex matrix of index 1. Recently, the notion of pseudo core inverse extended the notion of core inverse to an element of an arbitrary index in *-rings; meanwhile, it characterized the core-EP inverse introduced by Manjunatha Prasad and Mohana for complex matrices, in terms of three equations. Many works have been done on classical generalized inverses of companion matrices and Toeplitz matrices. In this paper, we discuss existence criteria and formulae of the pseudo core inverse of a companion matrix over a *-ring. A {1, 3}-inverse of a Toeplitz matrix plays an important role in that process.
TypeArticle
URIhttp://hdl.handle.net/1822/64252
DOI10.1556/012.2018.55.3.1398
ISSN0081-6906
e-ISSN1588-2896
Publisher versionhttps://akademiai.com/doi/abs/10.1556/012.2018.55.3.1398
Peer-Reviewedyes
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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