A note on the convexity of the Moore–Penrose inverse
| dc.contributor.author | Nordström, Kenneth | |
| dc.creator | Kenneth, Nordström | |
| dc.date.accessioned | 2017-12-15T05:47:14Z | |
| dc.date.available | 2017-12-15T05:47:14Z | |
| dc.date.issued | 2018-02-01 | |
| dc.description.abstract | Abstract This note is a sequel to an earlier study (Nordström [7]) on convexity properties of the inverse and Moore–Penrose inverse, in which the following question was raised. Given nonnegative definite matrices A and B with Moore–Penrose inverses A+ and B+, respectively, can one show that(λA+λ‾B)+⩽λA++λ‾B+ holding for a single λ∈]0,1[ is enough to guarantee its validity for all λ∈]0,1[? (The ordering above is the partial ordering, induced by the convex cone of nonnegative definite matrices, and λ‾:=1−λ.) In this note an affirmative answer is provided to this question. | en_US |
| dc.identifier | DOI:10.1016/j.laa.2017.10.016 | |
| dc.identifier.citation | Kenneth Nordström, A note on the convexity of the Moore–Penrose inverse, In Linear Algebra and its Applications, Volume 538, 2018, Pages 143-148 | en_US |
| dc.identifier.issn | 00243795 | |
| dc.identifier.uri | https://www.sciencedirect.com/science/article/pii/S0024379517305955 | |
| dc.identifier.uri | http://nur.nu.edu.kz/handle/123456789/2936 | |
| dc.language.iso | en | en_US |
| dc.publisher | Linear Algebra and its Applications | en_US |
| dc.relation.ispartof | Linear Algebra and its Applications | |
| dc.rights.license | © 2017 Elsevier Inc. All rights reserved. | |
| dc.subject | Generalized inverse | en_US |
| dc.subject | Jensen convexity | en_US |
| dc.subject | Loewner ordering | en_US |
| dc.subject | Midpoint convexity | en_US |
| dc.title | A note on the convexity of the Moore–Penrose inverse | en_US |
| dc.type | Article | en_US |
| elsevier.aggregationtype | Journal | |
| elsevier.coverdate | 2018-02-01 | |
| elsevier.coverdisplaydate | 1 February 2018 | |
| elsevier.endingpage | 148 | |
| elsevier.identifier.doi | 10.1016/j.laa.2017.10.016 | |
| elsevier.identifier.eid | 1-s2.0-S0024379517305955 | |
| elsevier.identifier.pii | S0024-3795(17)30595-5 | |
| elsevier.identifier.scopusid | 85032037318 | |
| elsevier.openaccess | 0 | |
| elsevier.openaccessarticle | false | |
| elsevier.openarchivearticle | false | |
| elsevier.startingpage | 143 | |
| elsevier.teaser | This note is a sequel to an earlier study (Nordström [7]) on convexity properties of the inverse and Moore–Penrose inverse, in which the following question was raised. Given nonnegative definite matrices... | |
| elsevier.volume | 538 | |
| workflow.import.source | science |