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Applied Mathematics and Computation, ISSN 0096-3003, 04/2015, Volume 256, pp. 472 - 487
We propose an inertial Douglas–Rachford splitting algorithm for finding the set of zeros of the sum of two maximally monotone operators in Hilbert spaces and investigate its convergence properties... 
Douglas–Rachford splitting | Krasnosel’skiı̆–Mann algorithm | Convex optimization | Primal–dual algorithm | Inertial splitting algorithm | Krasnosel'skiѣ-Mann algorithm Primal-dual algorithm Convex optimization | Douglas-Rachford splitting | MATHEMATICS, APPLIED | Primal-dual algorithm | Krasnosel'skii-Mann algorithm | MINIMIZATION | WEAK-CONVERGENCE | PROXIMAL POINT ALGORITHM | OPERATORS | COMPOSITE
Journal Article
Journal of optimization theory and applications, ISSN 1573-2878, 2016, Volume 169, Issue 3, pp. 1042 - 1068
Journal Article
IEEE Transactions on Control Systems Technology, ISSN 1063-6536, 11/2013, Volume 21, Issue 6, pp. 2432 - 2442
Journal Article
01/2017, Scientific Computation, ISBN 3319415875, 822
This book is about computational methods based on operator splitting. It consists of twenty-three chapters written by recognized splitting method contributors... 
Physics | Mathematical optimization | Computational Mathematics and Numerical Analysis | Mathematics | Numerical and Computational Physics, Simulation | Optimization | Image Processing and Computer Vision
eBook
Mathematical programming, ISSN 1436-4646, 2019, Volume 182, Issue 1-2, pp. 233 - 273
Given the success of Douglas–Rachford splitting (DRS), it is natural to ask whether DRS can be generalized... 
Operators | Splitting | Hoisting
Journal Article
SIAM journal on optimization, ISSN 1095-7189, 2011, Volume 21, Issue 4, pp. 1230 - 1250
.... New primal-dual splitting algorithms are derived from this framework for inclusions involving composite monotone operators, and convergence results are established... 
Monotone inclusion | Minimization algorithm | Convex optimization | Composite operator | Operator splitting | Decomposition | Duality | Fenchel-Rockafellar duality | Monotone operator | Forward-backward-forward algorithm | Mathematics | Optimization and Control
Journal Article
Computational Optimization and Applications, ISSN 0926-6003, 9/2017, Volume 68, Issue 1, pp. 57 - 93
In this work we propose a new splitting technique, namely Asymmetric Forward–Backward–Adjoint splitting, for solving monotone inclusions involving three terms, a maximally monotone, a cocoercive and a bounded linear operator... 
Monotone inclusion | Primal-dual algorithms | Convex optimization | Convex and Discrete Geometry | Operator splitting | Mathematics | Operations Research, Management Science | Operation Research/Decision Theory | Statistics, general | Optimization | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Electrical engineering | Algorithms | Computational geometry | Splitting | Asymmetry | Convexity | Inclusions | Preconditioning
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 03/2016, Volume 276, pp. 454 - 467
We derive an analytical approach to the Strang splitting method for the Burgers–Huxley equation (BHE) ut+αuux−ϵuxx=β(1−u)(u−γ)u. We proved that Srtang splitting method has a second order convergence in Hs... 
Error analysis | Burgers–Huxley equation | Sobolev spaces | Regularity | Operator splitting method | Burgers-Huxley equation | MATHEMATICS, APPLIED | Soholev spaces | Sects | Methods | Integers | Splitting | Computation | Sobolev space | Mathematical analysis | Mathematical models | Convergence
Journal Article