From Eckart and Young approximation to Moreau envelopes andvice versa

DOI10.1051/ro/2013040zbMath1326.15032OpenAlexW2123938010MaRDI QIDQ5397702

Hai Yen Le, Jean-Baptiste Hiriart-Urruty

Publication date: 24 February 2014

Published in: RAIRO - Operations Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/ro/2013040

zbMATH Keywords

Moreau envelopeEckart and Young theoremrank minimization problems

Mathematics Subject Classification ID

Convex programming (90C25) Numerical optimization and variational techniques (65K10) Set-valued and variational analysis (49J53) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

Related Items (5)

Quaternion matrix optimization: motivation and analysis ⋮ A variational approach of the rank function ⋮ The viscosity subdifferential of the rank function via the corresponding subdifferential of its Moreau envelopes ⋮ Conditions for the existence, identification and calculus rules of the threshold of prox-boundedness ⋮ Optimality conditions for rank-constrained matrix optimization

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