New results for EP matrices in indefinite inner product spaces

Radojević, Ivana

doi:10.1007/s10587-014-0086-9

Article Metadata only M23

2014

Radojević, Ivana

Springer

Czechoslovak Mathematical Journal

139

103

English

M23 - Paper in an international journal

In this paper we study J-EP matrices, as a generalization of EP-matrices in indefinite inner product spaces, with respect to indefinite matrix product. We give some properties concerning EP and J-EP matrices and find connection between them. Also, we present some results for reverse order law for Moore-Penrose inverse in indefinite setting. Finally, we deal with the star partial ordering and improve some results given in the “EP matrices in indefinite inner product spaces” (2012), by relaxing some conditions.

EP-matrix, Indefinite matrix product, Reverse order law, Partial order, Indefinite inner product space

DOI

10.1007/s10587-014-0086-9

ISSN

1572-9141
0011-4642

URI

https://repozitorijum.tfbor.bg.ac.rs/handle/...

Scopus

OpenCitations

dc.rights.license	ARR
dc.rights.uri	All rights reserved
dc.creator	Radojević, Ivana
dc.date.accessioned	2025-05-13T10:03:16Z
dc.date.available	2025-05-13T10:03:16Z
dc.date.issued	2014
dc.identifier.issn	1572-9141
dc.identifier.issn	0011-4642
dc.identifier.doi	10.1007/s10587-014-0086-9
dc.identifier.uri	https://repozitorijum.tfbor.bg.ac.rs/handle/123456789/5970
dc.description.abstract	In this paper we study J-EP matrices, as a generalization of EP-matrices in indefinite inner product spaces, with respect to indefinite matrix product. We give some properties concerning EP and J-EP matrices and find connection between them. Also, we present some results for reverse order law for Moore-Penrose inverse in indefinite setting. Finally, we deal with the star partial ordering and improve some results given in the “EP matrices in indefinite inner product spaces” (2012), by relaxing some conditions.
dc.language.iso	en
dc.publisher	Springer
dc.source	Czechoslovak Mathematical Journal
dc.subject	EP-matrix
dc.subject	Indefinite matrix product
dc.subject	Reverse order law
dc.subject	Partial order
dc.subject	Indefinite inner product space
dc.title	New results for EP matrices in indefinite inner product spaces
dc.type	article
dc.type.version	publishedVersion
dc.citation.volume	64
dc.citation.issue	139
dc.citation.spage	91
dc.citation.epage	103
dc.citation.rank	M23


New results for EP matrices in indefinite inner product spaces	9