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Article: A Matrix Generalization of the Hardy-Littlewood-Pólya Rearrangement Inequality and Its Applications

TitleA Matrix Generalization of the Hardy-Littlewood-Pólya Rearrangement Inequality and Its Applications
Authors
Yue, Man Chung
KeywordsCommutation principle
Matrix perturbation
Matrix rearrangement inequality
Spectral functions
Issue Date24-Dec-2025
PublisherSpringer
Citation
Journal of Optimization Theory and Applications, 2026, v. 208, n. 2 How to Cite?
DOI: http://dx.doi.org/10.1007/s10957-025-02884-1
AbstractBy analyzing an optimization problem over orthogonal matrices, we prove a generalization of the Hardy-Littlewood-Pólya rearrangement inequality to positive definite matrices. The inequality is then extended to rectangular matrices. Using our main results, we derive new inequalities for several distance-like functions encountered in various signal processing or machine learning applications.
Persistent Identifierhttp://hdl.handle.net/10722/368399
ISSN
0022-3239
2023 Impact Factor: 1.6
2023 SCImago Journal Rankings: 0.864

 

DC FieldValueLanguage
dc.contributor.authorYue, Man Chung-
dc.date.accessioned2026-01-06T00:35:26Z-
dc.date.available2026-01-06T00:35:26Z-
dc.date.issued2025-12-24-
dc.identifier.citationJournal of Optimization Theory and Applications, 2026, v. 208, n. 2-
dc.identifier.issn0022-3239-
dc.identifier.urihttp://hdl.handle.net/10722/368399-
dc.description.abstractBy analyzing an optimization problem over orthogonal matrices, we prove a generalization of the Hardy-Littlewood-Pólya rearrangement inequality to positive definite matrices. The inequality is then extended to rectangular matrices. Using our main results, we derive new inequalities for several distance-like functions encountered in various signal processing or machine learning applications.-
dc.languageeng-
dc.publisherSpringer-
dc.relation.ispartofJournal of Optimization Theory and Applications-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.subjectCommutation principle-
dc.subjectMatrix perturbation-
dc.subjectMatrix rearrangement inequality-
dc.subjectSpectral functions-
dc.titleA Matrix Generalization of the Hardy-Littlewood-Pólya Rearrangement Inequality and Its Applications-
dc.typeArticle-
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1007/s10957-025-02884-1-
dc.identifier.scopuseid_2-s2.0-105025806330-
dc.identifier.volume208-
dc.identifier.issue2-
dc.identifier.eissn1573-2878-
dc.identifier.issnl0022-3239-

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