Please use this identifier to cite or link to this item:

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.
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

Files in This Item:
File Description SizeFormat 
P-core of Companion(2017-12-26).pdf430,85 kBAdobe PDFView/Open

Partilhe no FacebookPartilhe no TwitterPartilhe no DeliciousPartilhe no LinkedInPartilhe no DiggAdicionar ao Google BookmarksPartilhe no MySpacePartilhe no Orkut
Exporte no formato BibTex mendeley Exporte no formato Endnote Adicione ao seu ORCID