Generalized subdifferentials of the rank function

DOI10.1007/s11590-012-0456-xzbMath1290.90073OpenAlexW1997605385MaRDI QIDQ1947623

Hai Yen Le

Publication date: 23 April 2013

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-012-0456-x

zbMATH Keywords

counting functionrank functiongeneralized subdifferentials

Mathematics Subject Classification ID

Nonlinear programming (90C30)

Related Items (11)

Generalized subdifferentials of the sign change counting function ⋮ Quaternion matrix optimization: motivation and analysis ⋮ The viscosity subdifferential of the rank function via the corresponding subdifferential of its Moreau envelopes ⋮ Zero-norm regularized problems: equivalent surrogates, proximal MM method and statistical error bound ⋮ Solution sets of three sparse optimization problems for multivariate regression ⋮ Inertial Proximal Block Coordinate Method for a Class of Nonsmooth Sum-of-Ratios Optimization Problems ⋮ The Capra-subdifferential of the ℓ ₀ pseudonorm ⋮ Several Classes of Stationary Points for Rank Regularized Minimization Problems ⋮ Optimality conditions for locally Lipschitz optimization with \(l_0\)-regularization ⋮ Prox-regularity of rank constraint sets and implications for algorithms ⋮ Kurdyka-Łojasiewicz property of zero-norm composite functions

Cites Work

• Nonsmooth analysis
• When only global optimization matters
• Nonsmooth analysis of singular values. I: Theory
• Nonsmooth analysis of singular values. II: Applications
• Optimization and nonsmooth analysis

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