An Ellipsoid Trust Region Bundle Method for Nonsmooth Convex Minimization

Krzysztof C. Kiwiel

doi:10.1137/0327039

An Ellipsoid Trust Region Bundle Method for Nonsmooth Convex Minimization

SIAM Journal on Control and Optimization ◽

10.1137/0327039 ◽

1989 ◽

Vol 27 (4) ◽

pp. 737-757 ◽

Cited By ~ 17

Author(s):

Krzysztof C. Kiwiel

Keyword(s):

Trust Region ◽

Convex Minimization ◽

Bundle Method ◽

Nonsmooth Convex Minimization

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A Bundle Method for a Class of Bilevel Nonsmooth Convex Minimization Problems

SIAM Journal on Optimization ◽

10.1137/050647566 ◽

2007 ◽

Vol 18 (1) ◽

pp. 242-259 ◽

Cited By ~ 22

Author(s):

Mikhail V. Solodov

Keyword(s):

Convex Minimization ◽

Bundle Method ◽

Minimization Problems ◽

Convex Minimization Problems ◽

Nonsmooth Convex Minimization

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Gradient trust region algorithm with limited memory BFGS update for nonsmooth convex minimization

Computational Optimization and Applications ◽

10.1007/s10589-012-9485-8 ◽

2012 ◽

Vol 54 (1) ◽

pp. 45-64 ◽

Cited By ~ 19

Author(s):

Gonglin Yuan ◽

Zengxin Wei ◽

Zhongxing Wang

Keyword(s):

Trust Region ◽

Convex Minimization ◽

Trust Region Algorithm ◽

Bfgs Update ◽

Limited Memory ◽

Nonsmooth Convex Minimization

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A new trust region algorithm for nonsmooth convex minimization

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.03.059 ◽

2007 ◽

Vol 193 (1) ◽

pp. 135-142 ◽

Cited By ~ 7

Author(s):

Liping Zhang

Keyword(s):

Trust Region ◽

Convex Minimization ◽

Trust Region Algorithm ◽

Nonsmooth Convex Minimization

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A trust region algorithm with adaptive cubic regularization methods for nonsmooth convex minimization

Computational Optimization and Applications ◽

10.1007/s10589-010-9363-1 ◽

2010 ◽

Vol 51 (2) ◽

pp. 551-573 ◽

Cited By ~ 15

Author(s):

Sha Lu ◽

Zengxin Wei ◽

Lue Li

Keyword(s):

Trust Region ◽

Convex Minimization ◽

Regularization Methods ◽

Trust Region Algorithm ◽

Cubic Regularization ◽

Nonsmooth Convex Minimization

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A Perturbed Parallel Decomposition Method for a Class of Nonsmooth Convex Minimization Problems

SIAM Journal on Control and Optimization ◽

10.1137/0329045 ◽

1991 ◽

Vol 29 (4) ◽

pp. 829-847 ◽

Cited By ~ 13

Author(s):

Khalil Mouallif ◽

Van Hien Nguyen ◽

Jean-Jacques Strodiot

Keyword(s):

Decomposition Method ◽

Convex Minimization ◽

Minimization Problems ◽

Parallel Decomposition ◽

Convex Minimization Problems ◽

Nonsmooth Convex Minimization

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Quasi-monotone Subgradient Methods for Nonsmooth Convex Minimization

Journal of Optimization Theory and Applications ◽

10.1007/s10957-014-0677-5 ◽

2014 ◽

Vol 165 (3) ◽

pp. 917-940 ◽

Cited By ~ 24

Author(s):

Yu. Nesterov ◽

V. Shikhman

Keyword(s):

Convex Minimization ◽

Subgradient Methods ◽

Nonsmooth Convex Minimization

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Research on the Dual Problem of Trust Region Bundle Method

British Journal of Mathematics & Computer Science ◽

10.9734/bjmcs/2017/33880 ◽

2017 ◽

Vol 22 (3) ◽

pp. 1-6

Author(s):

Jie Shen ◽

Ya-Li Gao

Keyword(s):

Dual Problem ◽

Trust Region ◽

Bundle Method

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On convergence analysis of dual proximal-gradient methods with approximate gradient for a class of nonsmooth convex minimization problems

Journal of Industrial and Management Optimization ◽

10.3934/jimo.2016.12.389 ◽

2015 ◽

Vol 12 (1) ◽

pp. 389-402 ◽

Cited By ~ 1

Author(s):

Sanming Liu ◽

Zhijie Wang ◽

Chongyang Liu

Keyword(s):

Convergence Analysis ◽

Gradient Methods ◽

Convex Minimization ◽

Minimization Problems ◽

Convex Minimization Problems ◽

Nonsmooth Convex Minimization

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Approximate Level Method for Nonsmooth Convex Minimization

Journal of Optimization Theory and Applications ◽

10.1007/s10957-011-9908-1 ◽

2011 ◽

Vol 152 (2) ◽

pp. 334-350 ◽

Cited By ~ 6

Author(s):

Peter Richtárik

Keyword(s):

Convex Minimization ◽

Level Method ◽

Nonsmooth Convex Minimization

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A Trust Region Spectral Bundle Method for Nonconvex Eigenvalue Optimization

SIAM Journal on Optimization ◽

10.1137/060665191 ◽

2008 ◽

Vol 19 (1) ◽

pp. 281-306 ◽

Cited By ~ 37

Author(s):

P. Apkarian ◽

D. Noll ◽

O. Prot

Keyword(s):

Trust Region ◽

Bundle Method ◽

Eigenvalue Optimization

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