Split-Douglas--Rachford Algorithm for Composite Monotone Inclusions and Split-ADMM

Luis M. Bricen͂o-Arias; Fernando Roldán

doi:10.1137/21m1395144

Split-Douglas--Rachford Algorithm for Composite Monotone Inclusions and Split-ADMM

SIAM Journal on Optimization ◽

10.1137/21m1395144 ◽

2021 ◽

Vol 31 (4) ◽

pp. 2987-3013

Author(s):

Luis M. Bricen͂o-Arias ◽

Fernando Roldán

Keyword(s):

Monotone Inclusions

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Shadow Douglas–Rachford Splitting for Monotone Inclusions

Applied Mathematics & Optimization ◽

10.1007/s00245-019-09597-8 ◽

2019 ◽

Vol 80 (3) ◽

pp. 665-678 ◽

Cited By ~ 12

Author(s):

Ernö Robert Csetnek ◽

Yura Malitsky ◽

Matthew K. Tam

Keyword(s):

Monotone Inclusions

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Douglas–Rachford splitting algorithm for solving state-dependent maximal monotone inclusions

Optimization Letters ◽

10.1007/s11590-021-01718-z ◽

2021 ◽

Author(s):

S. Adly ◽

B. K. Le

Keyword(s):

Maximal Monotone ◽

Splitting Algorithm ◽

Monotone Inclusions ◽

State Dependent

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Asymmetric forward–backward–adjoint splitting for solving monotone inclusions involving three operators

Computational Optimization and Applications ◽

10.1007/s10589-017-9909-6 ◽

2017 ◽

Vol 68 (1) ◽

pp. 57-93 ◽

Cited By ~ 23

Author(s):

Puya Latafat ◽

Panagiotis Patrinos

Keyword(s):

Monotone Inclusions

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Convergence of an Inertial Shadow Douglas-Rachford Splitting Algorithm for Monotone Inclusions

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2021.2001749 ◽

2021 ◽

pp. 1-18

Author(s):

Jingjing Fan ◽

Xiaolong Qin ◽

Bing Tan

Keyword(s):

Splitting Algorithm ◽

Monotone Inclusions

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Strong convergence of a forward–backward splitting method with a new step size for solving monotone inclusions

Computational and Applied Mathematics ◽

10.1007/s40314-019-0855-z ◽

2019 ◽

Vol 38 (2) ◽

Cited By ~ 11

Author(s):

Duong Viet Thong ◽

Prasit Cholamjiak

Keyword(s):

Strong Convergence ◽

Splitting Method ◽

Step Size ◽

Monotone Inclusions

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Asynchronous block-iterative primal-dual decomposition methods for monotone inclusions

Mathematical Programming ◽

10.1007/s10107-016-1044-0 ◽

2016 ◽

Vol 168 (1-2) ◽

pp. 645-672 ◽

Cited By ~ 19

Author(s):

Patrick L. Combettes ◽

Jonathan Eckstein

Keyword(s):

Decomposition Methods ◽

Dual Decomposition ◽

Monotone Inclusions ◽

Primal Dual

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Sensitivity analysis of maximally monotone inclusions via the proto-differentiability of the resolvent operator

Mathematical Programming ◽

10.1007/s10107-020-01515-z ◽

2020 ◽

Author(s):

Samir Adly ◽

R. Tyrrell Rockafellar

Keyword(s):

Sensitivity Analysis ◽

Resolvent Operator ◽

Monotone Inclusions ◽

The Resolvent Operator

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Solving Coupled Composite Monotone Inclusions by Successive Fejér Approximations of their Kuhn--Tucker Set

SIAM Journal on Optimization ◽

10.1137/130950616 ◽

2014 ◽

Vol 24 (4) ◽

pp. 2076-2095 ◽

Cited By ~ 23

Author(s):

Abdullah Alotaibi ◽

Patrick L. Combettes ◽

Naseer Shahzad

Keyword(s):

Monotone Inclusions

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Forward-Douglas–Rachford splitting and forward-partial inverse method for solving monotone inclusions

Optimization ◽

10.1080/02331934.2013.855210 ◽

2013 ◽

Vol 64 (5) ◽

pp. 1239-1261 ◽

Cited By ~ 24

Author(s):

Luis M. Briceño-Arias

Keyword(s):

Inverse Method ◽

Monotone Inclusions ◽

Partial Inverse ◽

Partial Inverse Method

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Viscosity approximation methods for generalized asymptotically nonexpansive mappings and monotone inclusions in Hadamard spaces

Fixed Point Theory ◽

10.24193/fpt-ro.2020.1.24 ◽

2020 ◽

Vol 21 (1) ◽

pp. 339-362

Author(s):

Godwin Chidi Ugwunadi ◽

◽

Imo Kalu Agwu ◽

Chinedu Izuchukwu ◽

Chibueze Christian Okeke ◽

...

Keyword(s):

Nonexpansive Mappings ◽

Approximation Methods ◽

Viscosity Approximation ◽

Monotone Inclusions ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive ◽

Viscosity Approximation Methods

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