A primal-dual dynamical approach to structured convex minimization problems

Journal of Differential Equations ◽

10.1016/j.jde.2020.07.039 ◽

2020 ◽

Vol 269 (12) ◽

pp. 10717-10757 ◽

Author(s):

Radu Ioan Boţ ◽

Ernö Robert Csetnek ◽

Szilárd Csaba László

Keyword(s):

Convex Minimization ◽

Minimization Problems ◽

Dynamical Approach ◽

Convex Minimization Problems ◽

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Fast Primal-Dual Gradient Method for Strongly Convex Minimization Problems with Linear Constraints

Discrete Optimization and Operations Research - Lecture Notes in Computer Science ◽

10.1007/978-3-319-44914-2_31 ◽

2016 ◽

pp. 391-403 ◽

Author(s):

Alexey Chernov ◽

Pavel Dvurechensky ◽

Alexander Gasnikov

Keyword(s):

Gradient Method ◽

Linear Constraints ◽

Convex Minimization ◽

Strongly Convex ◽

Minimization Problems ◽

Convex Minimization Problems ◽

Primal Dual ◽

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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 ◽

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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Nonconforming discretizations of convex minimization problems and precise relations to mixed methods

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.04.014 ◽

2021 ◽

Vol 93 ◽

pp. 214-229

Author(s):

Sören Bartels

Keyword(s):

Mixed Methods ◽

Convex Minimization ◽

Minimization Problems ◽

Convex Minimization Problems

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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 ◽

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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Generalized Halpern-type forward–backward splitting methods for convex minimization problems with application to image restoration problems

Optimization ◽

10.1080/02331934.2019.1646742 ◽

2019 ◽

Vol 69 (7-8) ◽

pp. 1557-1581 ◽

Author(s):

Duangkamon Kitkuan ◽

Poom Kumam ◽

Juan Martínez-Moreno

Keyword(s):

Image Restoration ◽

Splitting Methods ◽

Convex Minimization ◽

Minimization Problems ◽

Convex Minimization Problems

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On Convergence of a Random Search Method in Convex Minimization Problems

Theory of Probability and Its Applications ◽

10.1137/1119084 ◽

1975 ◽

Vol 19 (4) ◽

pp. 788-794 ◽

Author(s):

V. G. Karmanov

Keyword(s):

Random Search ◽

Search Method ◽

Convex Minimization ◽

Minimization Problems ◽

Random Search Method ◽

Convex Minimization Problems

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Iterative algorithms with regularization for hierarchical variational inequality problems and convex minimization problems

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2013-284 ◽

2013 ◽

Vol 2013 (1) ◽

pp. 284 ◽

Author(s):

Lu-Chuan Ceng ◽

Suliman Al-Homidan ◽

Qamrul Ansari

Keyword(s):

Variational Inequality ◽

Iterative Algorithms ◽

Convex Minimization ◽

Variational Inequality Problems ◽

Minimization Problems ◽

Convex Minimization Problems

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ITERATION METHODS TO COMPUTE THE SEPARABLE CONVEX MINIMIZATION PROBLEMS

International Journal of Numerical Methods and Applications ◽

10.17654/nm015010079 ◽

2016 ◽

Vol 15 (1) ◽

pp. 79-91

Author(s):

Zhen-Yun Peng ◽

Cheng-Zhi Zhou ◽

Dan-Dan Du ◽

Xian-Wei Xiao

Keyword(s):

Convex Minimization ◽

Minimization Problems ◽

Convex Minimization Problems ◽

Iteration Methods ◽

Separable 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 ◽

Author(s):

Mikhail V. Solodov

Keyword(s):

Convex Minimization ◽

Bundle Method ◽

Minimization Problems ◽

Convex Minimization Problems ◽

Nonsmooth Convex Minimization

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A modified alternating direction method for convex minimization problems

Applied Mathematics Letters ◽

10.1016/s0893-9659(99)00175-5 ◽

2000 ◽

Vol 13 (2) ◽

pp. 123-130 ◽

Author(s):

Bingsheng He ◽

Jing Zhou

Keyword(s):

Alternating Direction Method ◽

Convex Minimization ◽

Minimization Problems ◽

Alternating Direction ◽

Convex Minimization Problems

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