A strongly convergent proximal bundle method for convex minimization in Hilbert spaces

DOI10.1080/02331934.2015.1004549zbMath1334.49101OpenAlexW2033975747MaRDI QIDQ2790873

Wim van Ackooij, Welington de Oliveira, José Yunier Bello Cruz

Publication date: 8 March 2016

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2015.1004549

zbMATH Keywords

nonsmooth optimizationstrong convergenceconvex optimizationproximal bundle method

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Convex programming (90C25) Numerical methods based on nonlinear programming (49M37)

Related Items

Two‐agent scheduling with linear resource‐dependent processing times ⋮ Minimizing oracle-structured composite functions ⋮ Target radius methods for nonsmooth convex optimization ⋮ Proximal bundle methods for nonsmooth DC programming ⋮ An Inexact Bundle Algorithm for Nonconvex Nonsmooth Minimization in Hilbert Space ⋮ Nonsmooth optimization by successive abs-linearization in function spaces

Cites Work

• Convex proximal bundle methods in depth: a unified analysis for inexact oracles
• Decomposition approaches for block-structured chance-constrained programs with application to hydro-thermal unit commitment
• Solving the unit commitment problem of hydropower plants via Lagrangian relaxation and sequential quadratic programming
• On approximations with finite precision in bundle methods for nonsmooth optimization
• Divide to conquer: decomposition methods for energy optimization
• Proximity control in bundle methods for convex nondifferentiable minimization
• Convergence of some algorithms for convex minimization
• On the minimum norm solution of linear programs
• A two-stage planning model for power scheduling in a hydro-thermal system under uncertainty
• A descent proximal level bundle method for convex nondifferentiable optimization
• Large-scale unit commitment under uncertainty
• A primal-proximal heuristic applied to the French unit-commitment problem
• Prices stabilization for inexact unit-commitment problems
• A Strongly Convergent Method for Nonsmooth Convex Minimization in Hilbert Spaces
• The Cutting-Plane Method for Solving Convex Programs
• Dual Applications of Proximal Bundle Methods, Including Lagrangian Relaxation of Nonconvex Problems
• Convex analysis and monotone operator theory in Hilbert spaces