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Exact Penalty Function for $\ell_{2,1}$ Norm Minimization over the Stiefel Manifold

Nachuan Xiao, Xin Liu, Ya-xiang Yuan

2021SIAM Journal on Optimization14 citationsDOI

Abstract

Related DatabasesWeb of Science You must be logged in with an active subscription to view this.Article DataHistorySubmitted: 19 July 2020Accepted: 29 August 2021Published online: 02 December 2021Keywordsorthogonality constraint, Stiefel manifold, nonsmooth optimization, augmented Lagrangian methodAMS Subject Headings15A18, 65F15, 65K05, 90C06Publication DataISSN (print): 1052-6234ISSN (online): 1095-7189Publisher: Society for Industrial and Applied MathematicsCODEN: sjope8

Topics & Concepts

Stiefel manifoldMathematicsAugmented Lagrangian methodManifold (fluid mechanics)Norm (philosophy)LagrangianConstraint (computer-aided design)MinificationMathematical optimizationMathematics Subject ClassificationApplied mathematicsFunction (biology)CombinatoricsPure mathematicsGeometryEvolutionary biologyLawEngineeringBiologyMechanical engineeringPolitical scienceAdvanced Optimization Algorithms ResearchSparse and Compressive Sensing TechniquesAdvanced Numerical Analysis Techniques
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