Proximity control in bundle methods for convex nondifferentiable minimization

Krzysztof C. Kiwiel

doi:10.1007/bf01585731

Proximity control in bundle methods for convex nondifferentiable minimization

Mathematical Programming ◽

10.1007/bf01585731 ◽

1990 ◽

Vol 46 (1-3) ◽

pp. 105-122 ◽

Cited By ~ 275

Author(s):

Krzysztof C. Kiwiel

Keyword(s):

Bundle Methods ◽

Nondifferentiable Minimization

Exact penalty functions in proximal bundle methods for constrained convex nondifferentiable minimization

Mathematical Programming ◽

10.1007/bf01582892 ◽

1991 ◽

Vol 52 (1-3) ◽

pp. 285-302 ◽

Cited By ~ 38

Author(s):

Krzysztof C. Kiwiel

Keyword(s):

Penalty Functions ◽

Bundle Methods ◽

Exact Penalty Functions ◽

Exact Penalty ◽

Proximal Bundle Methods ◽

Nondifferentiable Minimization

Spectral bundle methods for non-convex maximum eigenvalue functions: second-order methods

Mathematical Programming ◽

10.1007/s10107-005-0635-y ◽

2005 ◽

Vol 104 (2-3) ◽

pp. 729-747 ◽

Cited By ~ 19

Author(s):

Dominikus Noll ◽

Pierre Apkarian

Keyword(s):

Second Order ◽

Bundle Methods ◽

Maximum Eigenvalue ◽

Second Order Methods

Asynchronous level bundle methods

Mathematical Programming ◽

10.1007/s10107-019-01414-y ◽

2019 ◽

Vol 184 (1-2) ◽

pp. 319-348 ◽

Cited By ~ 3

Author(s):

Franck Iutzeler ◽

Jérôme Malick ◽

Welington de Oliveira

Keyword(s):

Bundle Methods

Survey of Bundle Methods for Nonsmooth Optimization

Optimization Methods and Software ◽

10.1080/10556780290027828 ◽

2002 ◽

Vol 17 (1) ◽

pp. 1-29 ◽

Cited By ~ 95

Author(s):

Marko Mäkelä

Keyword(s):

Nonsmooth Optimization ◽

Bundle Methods

Dynamic Construction of Approximate Subdifferentials: Dual Form of Bundle Methods

Grundlehren der mathematischen Wissenschaften - Convex Analysis and Minimization Algorithms II ◽

10.1007/978-3-662-06409-2_6 ◽

1993 ◽

pp. 223-274

Author(s):

Jean-Baptiste Hiriart-Urruty ◽

Claude Lemaréchal

Keyword(s):

Bundle Methods ◽

Dual Form

A Projection-Proximal Bundle Method for Convex Nondifferentiable Minimization

Lecture Notes in Economics and Mathematical Systems - Ill-posed Variational Problems and Regularization Techniques ◽

10.1007/978-3-642-45780-7_9 ◽

1999 ◽

pp. 137-150 ◽

Cited By ~ 4

Author(s):

Krzysztof C. Kiwiel

Keyword(s):

Bundle Method ◽

Proximal Bundle Method ◽

Nondifferentiable Minimization

Bundle methods

Methods of Descent for Nondifferentiable Optimization - Lecture Notes in Mathematics ◽

10.1007/bfb0074507 ◽

1985 ◽

pp. 299-344 ◽

Cited By ~ 3

Author(s):

Krzysztof C. Kiwiel

Keyword(s):

Bundle Methods

Proximal Bundle Methods in Unit Commitment Optimization

Operations Research Proceedings - Operations Research Proceedings 2012 ◽

10.1007/978-3-319-00795-3_70 ◽

2013 ◽

pp. 469-474 ◽

Cited By ~ 3

Author(s):

Tim Drees ◽

Roland Schuster ◽

Albert Moser

Keyword(s):

Unit Commitment ◽

Bundle Methods ◽

Proximal Bundle Methods

An Application of the Analytic Centers to a Generic Nondifferentiable Minimization Problem

Lecture Notes in Economics and Mathematical Systems - User-Oriented Methodology and Techniques of Decision Analysis and Support ◽

10.1007/978-3-662-22587-5_16 ◽

1993 ◽

pp. 176-184

Author(s):

Anna Altman

Keyword(s):

Minimization Problem ◽

Analytic Centers ◽

Nondifferentiable Minimization

Bundle methods for dual atomic pursuit

2019 53rd Asilomar Conference on Signals, Systems, and Computers ◽

10.1109/ieeeconf44664.2019.9048711 ◽

2019 ◽

Author(s):

Zhenan Fan ◽

Yifan Sun ◽

Michael P. Friedlander

Keyword(s):

Bundle Methods