dc.contributor.author |
Nordström, Kenneth
|
|
dc.creator |
Kenneth, Nordström |
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dc.date.accessioned |
2017-12-15T05:47:14Z |
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dc.date.available |
2017-12-15T05:47:14Z |
|
dc.date.issued |
2018-02-01 |
|
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 |
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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.language.iso |
en |
en_US |
dc.publisher |
Linear Algebra and its Applications |
en_US |
dc.relation.ispartof |
Linear Algebra and its Applications |
|
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 |
dc.rights.license |
© 2017 Elsevier Inc. All rights reserved. |
|
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.volume |
538 |
|
elsevier.coverdate |
2018-02-01 |
|
elsevier.coverdisplaydate |
1 February 2018 |
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elsevier.startingpage |
143 |
|
elsevier.endingpage |
148 |
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elsevier.openaccess |
0 |
|
elsevier.openaccessarticle |
false |
|
elsevier.openarchivearticle |
false |
|
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... |
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elsevier.aggregationtype |
Journal |
|
workflow.import.source |
science |
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