Bordering method to compute Core-EP inverse

Following the work of Kentaro Nomakuchi[10] and Manjunatha Prasad et.al., [7] which relate various generalized inverses of a given matrix with suitable bordering,we describe the explicit bordering required to obtain core-EP inverse, core-EP generalized inverse. The main result of the paper also lead...

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Main Authors:	Prasad K. Manjunatha, Raj M. David
Format:	Article
Language:	English
Published:	De Gruyter 2018-05-01
Series:	Special Matrices
Subjects:	core-ep inverse core-ep generalized inverse outer inverse bordered matrix 15a09 15a18
Online Access:	https://doi.org/10.1515/spma-2018-0016

id	doaj-09cbb223e5e04ad9855469abbbcb3263
record_format	Article
spelling	doaj-09cbb223e5e04ad9855469abbbcb32632021-10-02T19:10:39ZengDe GruyterSpecial Matrices2300-74512018-05-016119320010.1515/spma-2018-0016spma-2018-0016Bordering method to compute Core-EP inversePrasad K. Manjunatha0Raj M. David1Department of Statistics, PSPH, Manipal Academy of Higher Education, Manipal 576104, IndiaDepartment of Statistics, PSPH, Manipal Academy of Higher Education, Manipal 576104, IndiaFollowing the work of Kentaro Nomakuchi[10] and Manjunatha Prasad et.al., [7] which relate various generalized inverses of a given matrix with suitable bordering,we describe the explicit bordering required to obtain core-EP inverse, core-EP generalized inverse. The main result of the paper also leads to provide a characterization of Drazin index in terms of bordering.https://doi.org/10.1515/spma-2018-0016core-ep inversecore-ep generalized inverseouter inversebordered matrix15a0915a18
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Prasad K. Manjunatha Raj M. David
spellingShingle	Prasad K. Manjunatha Raj M. David Bordering method to compute Core-EP inverse Special Matrices core-ep inverse core-ep generalized inverse outer inverse bordered matrix 15a09 15a18
author_facet	Prasad K. Manjunatha Raj M. David
author_sort	Prasad K. Manjunatha
title	Bordering method to compute Core-EP inverse
title_short	Bordering method to compute Core-EP inverse
title_full	Bordering method to compute Core-EP inverse
title_fullStr	Bordering method to compute Core-EP inverse
title_full_unstemmed	Bordering method to compute Core-EP inverse
title_sort	bordering method to compute core-ep inverse
publisher	De Gruyter
series	Special Matrices
issn	2300-7451
publishDate	2018-05-01
description	Following the work of Kentaro Nomakuchi[10] and Manjunatha Prasad et.al., [7] which relate various generalized inverses of a given matrix with suitable bordering,we describe the explicit bordering required to obtain core-EP inverse, core-EP generalized inverse. The main result of the paper also leads to provide a characterization of Drazin index in terms of bordering.
topic	core-ep inverse core-ep generalized inverse outer inverse bordered matrix 15a09 15a18
url	https://doi.org/10.1515/spma-2018-0016
work_keys_str_mv	AT prasadkmanjunatha borderingmethodtocomputecoreepinverse AT rajmdavid borderingmethodtocomputecoreepinverse
_version_	1716848016765222912

Bordering method to compute Core-EP inverse

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