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Book Chapter: Optimal ℓ 1 Rank One Matrix Decomposition

TitleOptimal ℓ 1 Rank One Matrix Decomposition
Authors
Balan, RaduOkoudjou, Kasso A.Rawson, MichaelWang, YangZhang, Rui
Keywords47B10; Secondary 42C15
Primary 45P05
Issue Date2021
Citation
Springer Optimization and Its Applications, 2021, v. 168, p. 21-41 How to Cite?
DOI: http://dx.doi.org/10.1007/978-3-030-61887-2_2
AbstractIn this paper, we consider the decomposition of positive semidefinite matrices as a sum of rank one matrices. We introduce and investigate the properties of various measures of optimality of such decompositions. For some classes of positive semidefinite matrices, we give explicitly these optimal decompositions. These classes include diagonally dominant matrices and certain of their generalizations, 2 × 2, and a class of 3 × 3 matrices.
Persistent Identifierhttp://hdl.handle.net/10722/363401
ISSN
1931-6828
2020 SCImago Journal Rankings: 0.523

 

DC FieldValueLanguage
dc.contributor.authorBalan, Radu-
dc.contributor.authorOkoudjou, Kasso A.-
dc.contributor.authorRawson, Michael-
dc.contributor.authorWang, Yang-
dc.contributor.authorZhang, Rui-
dc.date.accessioned2025-10-10T07:46:34Z-
dc.date.available2025-10-10T07:46:34Z-
dc.date.issued2021-
dc.identifier.citationSpringer Optimization and Its Applications, 2021, v. 168, p. 21-41-
dc.identifier.issn1931-6828-
dc.identifier.urihttp://hdl.handle.net/10722/363401-
dc.description.abstractIn this paper, we consider the decomposition of positive semidefinite matrices as a sum of rank one matrices. We introduce and investigate the properties of various measures of optimality of such decompositions. For some classes of positive semidefinite matrices, we give explicitly these optimal decompositions. These classes include diagonally dominant matrices and certain of their generalizations, 2 × 2, and a class of 3 × 3 matrices.-
dc.languageeng-
dc.relation.ispartofSpringer Optimization and Its Applications-
dc.subject47B10; Secondary 42C15-
dc.subjectPrimary 45P05-
dc.titleOptimal ℓ 1 Rank One Matrix Decomposition-
dc.typeBook_Chapter-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1007/978-3-030-61887-2_2-
dc.identifier.scopuseid_2-s2.0-85103648396-
dc.identifier.volume168-
dc.identifier.spage21-
dc.identifier.epage41-
dc.identifier.eissn1931-6836-

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