Determinantal Representations of the Weighted Core-EP, DMP, MPD, and CMP Inverses

Determinantal Representations of the Weighted Core-EP, DMP, MPD, and CMP Inverses

In this paper, new notions of the weighted core-EP left inverse and the weighted MPD inverse which are dual to the weighted core-EP (right) inverse and the weighted DMP inverse, respectively, are introduced and represented. The direct methods of computing the weighted right and left core-EP, DMP, MP...

Full description

Bibliographic Details
Main Author: Ivan I. Kyrchei
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/9816038
id doaj-94478992ec4c447aa87efc0a7d1944d1
record_format Article
spelling doaj-94478992ec4c447aa87efc0a7d1944d12020-11-25T03:54:32ZengHindawi LimitedJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/98160389816038Determinantal Representations of the Weighted Core-EP, DMP, MPD, and CMP InversesIvan I. Kyrchei0Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, NAS of Ukraine, Lviv, UkraineIn this paper, new notions of the weighted core-EP left inverse and the weighted MPD inverse which are dual to the weighted core-EP (right) inverse and the weighted DMP inverse, respectively, are introduced and represented. The direct methods of computing the weighted right and left core-EP, DMP, MPD, and CMP inverses by obtaining their determinantal representations are given. A numerical example to illustrate the main result is given.http://dx.doi.org/10.1155/2020/9816038
collection DOAJ
language English
format Article
sources DOAJ
author Ivan I. Kyrchei
spellingShingle Ivan I. Kyrchei
Determinantal Representations of the Weighted Core-EP, DMP, MPD, and CMP Inverses
Journal of Mathematics
author_facet Ivan I. Kyrchei
author_sort Ivan I. Kyrchei
title Determinantal Representations of the Weighted Core-EP, DMP, MPD, and CMP Inverses
title_short Determinantal Representations of the Weighted Core-EP, DMP, MPD, and CMP Inverses
title_full Determinantal Representations of the Weighted Core-EP, DMP, MPD, and CMP Inverses
title_fullStr Determinantal Representations of the Weighted Core-EP, DMP, MPD, and CMP Inverses
title_full_unstemmed Determinantal Representations of the Weighted Core-EP, DMP, MPD, and CMP Inverses
title_sort determinantal representations of the weighted core-ep, dmp, mpd, and cmp inverses
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2020-01-01
description In this paper, new notions of the weighted core-EP left inverse and the weighted MPD inverse which are dual to the weighted core-EP (right) inverse and the weighted DMP inverse, respectively, are introduced and represented. The direct methods of computing the weighted right and left core-EP, DMP, MPD, and CMP inverses by obtaining their determinantal representations are given. A numerical example to illustrate the main result is given.
url http://dx.doi.org/10.1155/2020/9816038
work_keys_str_mv AT ivanikyrchei determinantalrepresentationsoftheweightedcoreepdmpmpdandcmpinverses
_version_ 1715089672005222400

Similar Items