The viscosity subdifferential of the rank function via the corresponding subdifferential of its Moreau envelopes

DOI10.1007/s40306-015-0118-zzbMath1327.49027OpenAlexW2048360833MaRDI QIDQ890159

Hai Yen Le, Jean-Baptiste Hiriart-Urruty

Publication date: 9 November 2015

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-015-0118-z

zbMATH Keywords

singular valuesrank functiongeneralized subdifferentialsMoreau envelopesviscosity subdifferential

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Eigenvalues, singular values, and eigenvectors (15A18) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• A variational approach of the rank function
• An approximation theory of matrix rank minimization and its application to quadratic equations
• Bases, tools and principles for variational analysis
• Nonsmooth analysis
• Limit superior of subdifferentials of uniformly convergent functions
• Generalized subdifferentials of the rank function
• Nonsmooth analysis of singular values. I: Theory
• Nonsmooth analysis of singular values. II: Applications
• Calculus Without Derivatives
• Functional Analysis, Calculus of Variations and Optimal Control
• Variational Analysis
• From Eckart and Young approximation to Moreau envelopes andvice versa

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