A descent algorithm for nonsmooth convex optimization

Masao Fukushima

doi:10.1007/bf02591883

A descent algorithm for nonsmooth convex optimization

Mathematical Programming ◽

10.1007/bf02591883 ◽

1984 ◽

Vol 30 (2) ◽

pp. 163-175 ◽

Cited By ~ 58

Author(s):

Masao Fukushima

Keyword(s):

Convex Optimization ◽

Nonsmooth Convex Optimization ◽

Descent Algorithm

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A Weighted Mirror Descent Algorithm for Nonsmooth Convex Optimization Problem

Journal of Optimization Theory and Applications ◽

10.1007/s10957-016-0963-5 ◽

2016 ◽

Vol 170 (3) ◽

pp. 900-915 ◽

Cited By ~ 4

Author(s):

Duy V. N. Luong ◽

Panos Parpas ◽

Daniel Rueckert ◽

Berç Rustem

Keyword(s):

Convex Optimization ◽

Optimization Problem ◽

Nonsmooth Convex Optimization ◽

Convex Optimization Problem ◽

Descent Algorithm ◽

Mirror Descent

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Gradient-Free Two-Point Methods for Solving Stochastic Nonsmooth Convex Optimization Problems with Small Non-Random Noises

Автоматика и телемеханика ◽

10.31857/s000523100001245-3 ◽

2018 ◽

pp. 38-49

Author(s):

Anastasya Bayandina ◽

◽

Aleksandr Gasnikov ◽

Anastasya Lagunovskaya ◽

◽

...

Keyword(s):

Convex Optimization ◽

Optimization Problems ◽

Nonsmooth Convex Optimization ◽

Convex Optimization Problems

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Variational Analysis Perspective on Linear Convergence of Some First Order Methods for Nonsmooth Convex Optimization Problems

Set-Valued and Variational Analysis ◽

10.1007/s11228-021-00591-3 ◽

2021 ◽

Author(s):

Jane J. Ye ◽

Xiaoming Yuan ◽

Shangzhi Zeng ◽

Jin Zhang

Keyword(s):

Convex Optimization ◽

Variational Analysis ◽

Optimization Problems ◽

Linear Convergence ◽

Nonsmooth Convex Optimization ◽

First Order ◽

Convex Optimization Problems ◽

First Order Methods

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A modified scaled memoryless BFGS preconditioned conjugate gradient algorithm for nonsmooth convex optimization

Journal of Industrial & Management Optimization ◽

10.3934/jimo.2017075 ◽

2018 ◽

Vol 14 (2) ◽

pp. 785-801

Author(s):

Yigui Ou ◽

◽

Xin Zhou

Keyword(s):

Convex Optimization ◽

Conjugate Gradient ◽

Conjugate Gradient Algorithm ◽

Gradient Algorithm ◽

Preconditioned Conjugate Gradient ◽

Nonsmooth Convex Optimization

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“Relative Continuity” for Non-Lipschitz Nonsmooth Convex Optimization Using Stochastic (or Deterministic) Mirror Descent

INFORMS Journal on Optimization ◽

10.1287/ijoo.2018.0008 ◽

2019 ◽

Vol 1 (4) ◽

pp. 288-303 ◽

Cited By ~ 1

Author(s):

Haihao Lu

Keyword(s):

Convex Optimization ◽

Nonsmooth Convex Optimization ◽

Mirror Descent

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A multi-step doubly stabilized bundle method for nonsmooth convex optimization

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125154 ◽

2020 ◽

Vol 376 ◽

pp. 125154

Author(s):

Chunming Tang ◽

Shuai Liu ◽

Jinbao Jian ◽

Xiaomei Ou

Keyword(s):

Convex Optimization ◽

Bundle Method ◽

Nonsmooth Convex Optimization

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Evolution Differential Inclusion with Projection for Solving Constrained Nonsmooth Convex Optimization in Hilbert Space

Set-Valued and Variational Analysis ◽

10.1007/s11228-011-0194-8 ◽

2011 ◽

Vol 20 (2) ◽

pp. 203-227 ◽

Cited By ~ 3

Author(s):

Wei Bian ◽

Xiaoping Xue

Keyword(s):

Hilbert Space ◽

Convex Optimization ◽

Differential Inclusion ◽

Nonsmooth Convex Optimization

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Exponentially fast distributed coordination for nonsmooth convex optimization

2016 IEEE 55th Conference on Decision and Control (CDC) ◽

10.1109/cdc.2016.7798404 ◽

2016 ◽

Cited By ~ 5

Author(s):

Simon K. Niederlander ◽

Frank Allgower ◽

Jorge Cortes

Keyword(s):

Convex Optimization ◽

Distributed Coordination ◽

Nonsmooth Convex Optimization

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Bundle-level type methods uniformly optimal for smooth and nonsmooth convex optimization

Mathematical Programming ◽

10.1007/s10107-013-0737-x ◽

2013 ◽

Vol 149 (1-2) ◽

pp. 1-45 ◽

Cited By ~ 30

Author(s):

Guanghui Lan

Keyword(s):

Convex Optimization ◽

Nonsmooth Convex Optimization

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A Modified Proximal Gradient Method for a Family of Nonsmooth Convex Optimization Problems

Journal of the Operations Research Society of China ◽

10.1007/s40305-017-0155-5 ◽

2017 ◽

Vol 5 (3) ◽

pp. 391-403 ◽

Cited By ~ 2

Author(s):

Ying-Yi Li ◽

Hai-Bin Zhang ◽

Fei Li

Keyword(s):

Convex Optimization ◽

Gradient Method ◽

Optimization Problems ◽

Nonsmooth Convex Optimization ◽

Proximal Gradient Method ◽

Convex Optimization Problems

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