scholarly journals A parallel operator splitting algorithm for solving constrained total-variation retinex

2020 ◽  
Vol 14 (6) ◽  
pp. 1135-1156
Author(s):  
Leyu Hu ◽  
◽  
Wenxing Zhang ◽  
Xingju Cai ◽  
Deren Han ◽  
...  
Keyword(s):  
Total Variation ◽  
Operator Splitting ◽  
Splitting Algorithm ◽  
Parallel Operator

Total-variation based velocity inversion with Bregmanized operator splitting algorithm

2018 ◽  
Vol 151 ◽  
pp. 1-10
Author(s):  
Toktam Zand ◽  
Ali Gholami
Keyword(s):  
Total Variation ◽  
Operator Splitting ◽  
Splitting Algorithm ◽  
Velocity Inversion

scholarly journals COSMO: A Conic Operator Splitting Method for Convex Conic Problems

2021 ◽  
Vol 190 (3) ◽  
pp. 779-810
Author(s):  
Michael Garstka ◽  
Mark Cannon ◽  
Paul Goulart
Keyword(s):  
Convex Sets ◽  
Operator Splitting ◽  
Splitting Method ◽  
Computational Cost ◽  
Coefficient Matrix ◽  
Benchmark Problems ◽  
Portfolio Optimisation ◽  
Splitting Algorithm ◽  
Semidefinite Programs ◽  
Operator Splitting Method

AbstractThis paper describes the conic operator splitting method (COSMO) solver, an operator splitting algorithm and associated software package for convex optimisation problems with quadratic objective function and conic constraints. At each step, the algorithm alternates between solving a quasi-definite linear system with a constant coefficient matrix and a projection onto convex sets. The low per-iteration computational cost makes the method particularly efficient for large problems, e.g. semidefinite programs that arise in portfolio optimisation, graph theory, and robust control. Moreover, the solver uses chordal decomposition techniques and a new clique merging algorithm to effectively exploit sparsity in large, structured semidefinite programs. Numerical comparisons with other state-of-the-art solvers for a variety of benchmark problems show the effectiveness of our approach. Our Julia implementation is open source, designed to be extended and customised by the user, and is integrated into the Julia optimisation ecosystem.

Three-operator splitting algorithm for a class of variational inclusion problems

2019 ◽  
Vol 46 (4) ◽  
pp. 1055-1071 ◽  
Author(s):  
Dang Van Hieu ◽  
Le Van Vy ◽  
Pham Kim Quy
Keyword(s):  
Operator Splitting ◽  
Variational Inclusion ◽  
Splitting Algorithm ◽  
Inclusion Problems

An operator-splitting algorithm for the three-dimensional diffusion equation

1995 ◽  
Vol 11 (6) ◽  
pp. 617-624 ◽  
Author(s):  
Liaqat Ali Khan ◽  
Philip L.-F. Liu
Keyword(s):  
Diffusion Equation ◽  
Operator Splitting ◽  
Three Dimensional ◽  
Splitting Algorithm ◽  
Dimensional Diffusion

Fast splitting algorithm for multiframe total variation blind video deconvolution

2010 ◽  
Vol 49 (15) ◽  
pp. 2761 ◽  
Author(s):  
You-Wei Wen ◽  
Chaoqiang Liu ◽  
Andy M. Yip
Keyword(s):  
Total Variation ◽  
Splitting Algorithm
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