Mathematical programming, ISSN 1436-4646, 2015, Volume 159, Issue 1-2, pp. 253 - 287

We revisit the proofs of convergence for a first order primal–dual algorithm for convex optimization which we have studied a few years ago...

Theoretical, Mathematical and Computational Physics | Convergence rates | Ergodic convergence | Mathematics | 65Y20 | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | Numerical Analysis | 49M29 | First order algorithms | 65K10 | Combinatorics | Saddle-point problems | Primal–dual algorithms | BREGMAN FUNCTIONS | MATHEMATICS, APPLIED | Primal-dual algorithms | MAXIMAL MONOTONE-OPERATORS | PROXIMAL METHOD | INCLUSIONS | CONVEX-OPTIMIZATION | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | MAPPINGS | Graphics software | Algorithms | Studies | Mathematical analysis | Mathematical programming | Computational geometry | Operators | Proving | Norms | Nonlinearity | Optimization | Convergence

Theoretical, Mathematical and Computational Physics | Convergence rates | Ergodic convergence | Mathematics | 65Y20 | Mathematical Methods in Physics | Calculus of Variations and Optimal Control; Optimization | Mathematics of Computing | 90C25 | Numerical Analysis | 49M29 | First order algorithms | 65K10 | Combinatorics | Saddle-point problems | Primal–dual algorithms | BREGMAN FUNCTIONS | MATHEMATICS, APPLIED | Primal-dual algorithms | MAXIMAL MONOTONE-OPERATORS | PROXIMAL METHOD | INCLUSIONS | CONVEX-OPTIMIZATION | COMPUTER SCIENCE, SOFTWARE ENGINEERING | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | MAPPINGS | Graphics software | Algorithms | Studies | Mathematical analysis | Mathematical programming | Computational geometry | Operators | Proving | Norms | Nonlinearity | Optimization | Convergence

Journal Article

Journal of the ACM (JACM), ISSN 0004-5411, 10/2008, Volume 55, Issue 5, pp. 1 - 18

We give the first polynomial time algorithm for exactly computing an equilibrium for the linear utilities case of the market model defined by Fisher...

Market equilibria | primal--dual algorithms | Primal - dual algorithms | Economics | EXISTENCE | COMPUTER SCIENCE, SOFTWARE ENGINEERING | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | Algorithms | COMPLEXITY | COMPUTER SCIENCE, INFORMATION SYSTEMS | primal-dual algorithms | COMPUTER SCIENCE, THEORY & METHODS | Markets | Utilities | Polynomials | Computing time

Market equilibria | primal--dual algorithms | Primal - dual algorithms | Economics | EXISTENCE | COMPUTER SCIENCE, SOFTWARE ENGINEERING | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | Algorithms | COMPLEXITY | COMPUTER SCIENCE, INFORMATION SYSTEMS | primal-dual algorithms | COMPUTER SCIENCE, THEORY & METHODS | Markets | Utilities | Polynomials | Computing time

Journal Article

Advances in computational mathematics, ISSN 1572-9044, 2011, Volume 38, Issue 3, pp. 667 - 681

.... Several splitting algorithms recently proposed in the literature are recovered as special cases.

Monotone inclusion | Primal-dual algorithm | Cocoercivity | Numeric Computing | Theory of Computation | Duality | Monotone operator | Forward-backward algorithm | Algebra | Calculus of Variations and Optimal Control; Optimization | 90C25 | Computer Science | Composite operator | Operator splitting | 49M29 | Mathematics, general | 49M27 | 47H05 | MATHEMATICS, APPLIED | DECOMPOSITION | CONVEX MINIMIZATION PROBLEMS | VARIATIONAL-INEQUALITIES | CONVERGENCE | Duality theory (Mathematics) | Algorithms | Research | Monotonic functions | Operator theory | Operators | Splitting | Computation | Mathematical models | Inclusions | Sums

Monotone inclusion | Primal-dual algorithm | Cocoercivity | Numeric Computing | Theory of Computation | Duality | Monotone operator | Forward-backward algorithm | Algebra | Calculus of Variations and Optimal Control; Optimization | 90C25 | Computer Science | Composite operator | Operator splitting | 49M29 | Mathematics, general | 49M27 | 47H05 | MATHEMATICS, APPLIED | DECOMPOSITION | CONVEX MINIMIZATION PROBLEMS | VARIATIONAL-INEQUALITIES | CONVERGENCE | Duality theory (Mathematics) | Algorithms | Research | Monotonic functions | Operator theory | Operators | Splitting | Computation | Mathematical models | Inclusions | Sums

Journal Article

Journal of mathematical imaging and vision, ISSN 1573-7683, 2014, Volume 51, Issue 2, pp. 311 - 325

In this paper, we propose an inertial forward-backward splitting algorithm to compute a zero of the sum of two monotone operators, with one of the two operators being co-coercive...

Mathematical Methods in Physics | Primal-dual algorithms | Monotone inclusions | Signal, Image and Speech Processing | Convex optimization | Computer Science | Image Processing and Computer Vision | Forward-backward splitting | Applications of Mathematics | Image restoration | Saddle-point problems | MATHEMATICS, APPLIED | THRESHOLDING ALGORITHM | PROXIMAL POINT ALGORITHM | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | VARIATIONAL-INEQUALITIES | COMPUTER SCIENCE, SOFTWARE ENGINEERING | LINEAR INVERSE PROBLEMS | SPLITTING ALGORITHM | WEAK-CONVERGENCE | OPTIMIZATION | HILBERT-SPACE | OPERATORS | Graphics software | Algebra | Algorithms | Analysis

Mathematical Methods in Physics | Primal-dual algorithms | Monotone inclusions | Signal, Image and Speech Processing | Convex optimization | Computer Science | Image Processing and Computer Vision | Forward-backward splitting | Applications of Mathematics | Image restoration | Saddle-point problems | MATHEMATICS, APPLIED | THRESHOLDING ALGORITHM | PROXIMAL POINT ALGORITHM | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | VARIATIONAL-INEQUALITIES | COMPUTER SCIENCE, SOFTWARE ENGINEERING | LINEAR INVERSE PROBLEMS | SPLITTING ALGORITHM | WEAK-CONVERGENCE | OPTIMIZATION | HILBERT-SPACE | OPERATORS | Graphics software | Algebra | Algorithms | Analysis

Journal Article

ACM Transactions on Mathematical Software (TOMS), ISSN 0098-3500, 12/2019, Volume 45, Issue 4, pp. 1 - 20

IPscatt is a free, open-source MATLAB toolbox facilitating the solution for time-independent scattering (also known as time-harmonic scattering) in two- and...

denoising | total variation regularization | primal-dual algorithm | MATLAB toolbox | Helmholtz equation | Inverse scattering problem | sparsity regularization | parameter identification | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | REGULARIZATION

denoising | total variation regularization | primal-dual algorithm | MATLAB toolbox | Helmholtz equation | Inverse scattering problem | sparsity regularization | parameter identification | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | REGULARIZATION

Journal Article

Computational Optimization and Applications, ISSN 0926-6003, 12/2018, Volume 71, Issue 3, pp. 767 - 794

.... The resulting algorithm with memory inherits strong convergence properties of the original best approximation proximal primal–dual algorithm...

Proximal algorithm with memory | Inclusions with maximally monotone operators | Best approximation of the Kuhn–Tucker set | Operations Research/Decision Theory | Convex and Discrete Geometry | Mathematics | Operations Research, Management Science | Statistics, general | Attraction property | Optimization | Primal–dual algorithm | Image reconstruction | MATHEMATICS, APPLIED | Primal-dual algorithm | MAXIMAL MONOTONE-OPERATORS | INCLUSIONS | SUM | CONVEX-OPTIMIZATION | COMPOSITE | ALTERNATING DIRECTION METHOD | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Best approximation of the Kuhn-Tucker set | PROJECTIVE SPLITTING METHODS | POINT ALGORITHM | FIXED-POINTS | STRONG-CONVERGENCE | Projectors | Information science | Algorithms | Memory | Computer memory | Approximation | Mathematical analysis | Intersections

Proximal algorithm with memory | Inclusions with maximally monotone operators | Best approximation of the Kuhn–Tucker set | Operations Research/Decision Theory | Convex and Discrete Geometry | Mathematics | Operations Research, Management Science | Statistics, general | Attraction property | Optimization | Primal–dual algorithm | Image reconstruction | MATHEMATICS, APPLIED | Primal-dual algorithm | MAXIMAL MONOTONE-OPERATORS | INCLUSIONS | SUM | CONVEX-OPTIMIZATION | COMPOSITE | ALTERNATING DIRECTION METHOD | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Best approximation of the Kuhn-Tucker set | PROJECTIVE SPLITTING METHODS | POINT ALGORITHM | FIXED-POINTS | STRONG-CONVERGENCE | Projectors | Information science | Algorithms | Memory | Computer memory | Approximation | Mathematical analysis | Intersections

Journal Article

Journal of scientific computing, ISSN 1573-7691, 2018, Volume 76, Issue 3, pp. 1698 - 1717

In this paper, we propose a new primal–dual algorithm for minimizing $$f({\mathbf {x}})+g({\mathbf {x}})+h({\mathbf {A}}{\mathbf {x}})$$ f(x)+g(x)+h(Ax...

Computational Mathematics and Numerical Analysis | Nonexpansive operator | Algorithms | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | Three-operator splitting | Chambolle–Pock | Mathematics | Fixed-point iteration | Primal–dual | MATHEMATICS, APPLIED | Chambolle-Pock | Primal-dual | CONVERGENCE RATE ANALYSIS | OPTIMIZATION | SPLITTING SCHEMES | SOLVING MONOTONE INCLUSIONS

Computational Mathematics and Numerical Analysis | Nonexpansive operator | Algorithms | Theoretical, Mathematical and Computational Physics | Mathematical and Computational Engineering | Three-operator splitting | Chambolle–Pock | Mathematics | Fixed-point iteration | Primal–dual | MATHEMATICS, APPLIED | Chambolle-Pock | Primal-dual | CONVERGENCE RATE ANALYSIS | OPTIMIZATION | SPLITTING SCHEMES | SOLVING MONOTONE INCLUSIONS

Journal Article

Operations research, ISSN 1526-5463, 2014, Volume 62, Issue 4, pp. 876 - 890

.... In this paper, we propose a near-optimal algorithm for this general class of online problems under the assumptions of random order of arrival and some mild conditions on the size of the LP right-hand-side input...

Integers | Algorithms | Price vector | Optimal solutions | Approximation | Linear programming | Mathematical constants | Mathematical vectors | Revenue | Online learning | METHODS | Online algorithms | Dynamic price update | Primal-dual | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MANAGEMENT | Usage | Analysis | Resource allocation | Pricing

Integers | Algorithms | Price vector | Optimal solutions | Approximation | Linear programming | Mathematical constants | Mathematical vectors | Revenue | Online learning | METHODS | Online algorithms | Dynamic price update | Primal-dual | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MANAGEMENT | Usage | Analysis | Resource allocation | Pricing

Journal Article

ACM Transactions on Graphics (TOG), ISSN 0730-0301, 07/2016, Volume 35, Issue 4, pp. 1 - 15

.... Unfortunately, different combinations of natural image priors and optimization algorithms may be optimal for different problems, and implementing and testing each combination is currently a time...

digital image processing | optimization | computational photography | Computational photography | Optimization | Digital image processing | COMPUTER SCIENCE, SOFTWARE ENGINEERING | PRIMAL-DUAL ALGORITHMS

digital image processing | optimization | computational photography | Computational photography | Optimization | Digital image processing | COMPUTER SCIENCE, SOFTWARE ENGINEERING | PRIMAL-DUAL ALGORITHMS

Journal Article

SIAM Journal on Optimization, ISSN 1052-6234, 2016, Volume 26, Issue 2, pp. 1101 - 1127

This paper is about distributed derivative-based algorithms for solving optimization problems with a separable...

Distributed algorithms | Nonconvex optimization | Large-scale problems | MATHEMATICS, APPLIED | PENALTY-FUNCTION | PRIMAL DUAL DECOMPOSITION | SYSTEM OPTIMIZATION | MULTIPLIERS | nonconvex optimization | CONVEX-OPTIMIZATION | MODEL-PREDICTIVE CONTROL | large-scale problems | distributed algorithms | CONVERGENCE | CONSTRAINED OPTIMIZATION | ACTIVE-SET STRATEGY | SQP ALGORITHM

Distributed algorithms | Nonconvex optimization | Large-scale problems | MATHEMATICS, APPLIED | PENALTY-FUNCTION | PRIMAL DUAL DECOMPOSITION | SYSTEM OPTIMIZATION | MULTIPLIERS | nonconvex optimization | CONVEX-OPTIMIZATION | MODEL-PREDICTIVE CONTROL | large-scale problems | distributed algorithms | CONVERGENCE | CONSTRAINED OPTIMIZATION | ACTIVE-SET STRATEGY | SQP ALGORITHM

Journal Article

11.
Full Text
A primal–dual augmented Lagrangian penalty-interior-point filter line search algorithm

Mathematical Methods of Operations Research, ISSN 1432-2994, 6/2018, Volume 87, Issue 3, pp. 451 - 483

.... In this paper a primal–dual penalty-interior-point algorithm is proposed, that is based on an augmented Lagrangian approach with an $$\ell 2...

Primal–dual method | Penalty-interior-point algorithm | 90C06 | Mathematics | 90C26 | Constrained optimization | 90C51 | 90C30 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Augmented Lagrangian | 49M29 | 49M05 | Nonlinear programming | 49M15 | 49M37 | Business and Management, general | NONLINEAR OPTIMIZATION | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | LOCAL CONVERGENCE | Primal-dual method | STABILIZED SQP METHOD | GLOBAL CONVERGENCE | Algorithms | Penalty function | Robustness (mathematics) | Restoration | Search algorithms | Quadratic programming | Regularization

Primal–dual method | Penalty-interior-point algorithm | 90C06 | Mathematics | 90C26 | Constrained optimization | 90C51 | 90C30 | Calculus of Variations and Optimal Control; Optimization | Operations Research/Decision Theory | Augmented Lagrangian | 49M29 | 49M05 | Nonlinear programming | 49M15 | 49M37 | Business and Management, general | NONLINEAR OPTIMIZATION | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | LOCAL CONVERGENCE | Primal-dual method | STABILIZED SQP METHOD | GLOBAL CONVERGENCE | Algorithms | Penalty function | Robustness (mathematics) | Restoration | Search algorithms | Quadratic programming | Regularization

Journal Article

Optimization methods & software, ISSN 1029-4937, 2015, Volume 32, Issue 1, pp. 1 - 21

.... An important aspect of this approach is that, by a choice of suitable updating rules of parameters, the algorithm reduces to a regularized Newton method applied to a sequence of optimality systems...

quadratic convergence | equality constrained minimization | augmented Lagrangian method | primal-dual algorithm | primal–dual algorithm | NONLINEAR OPTIMIZATION | INTERIOR METHODS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | LOCAL CONVERGENCE | Lagrange multiplier | Algorithms | Robustness (mathematics) | Newton methods | Perturbation | Lagrangian function | Optimization | Convergence | Constraints | Perturbation methods | Mathematical analysis | Mathematical models | Mathematics | Optimization and Control

quadratic convergence | equality constrained minimization | augmented Lagrangian method | primal-dual algorithm | primal–dual algorithm | NONLINEAR OPTIMIZATION | INTERIOR METHODS | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MATHEMATICS, APPLIED | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | LOCAL CONVERGENCE | Lagrange multiplier | Algorithms | Robustness (mathematics) | Newton methods | Perturbation | Lagrangian function | Optimization | Convergence | Constraints | Perturbation methods | Mathematical analysis | Mathematical models | Mathematics | Optimization and Control

Journal Article

13.
Full Text
The transportation problem revisited-preprocessing before using the primal-dual algorithm

Journal of the Operational Research Society, ISSN 0160-5682, 07/2012, Volume 63, Issue 7, pp. 1006 - 1009

We give a necessary condition for the existence of a feasible solution for the transportation problem through a set of admissible cells, and an algorithm to find a set of admissible cells...

linear programming | transportation problem | primal-dual algorithm | optimization | methodology | Operations research | Algorithms | Necessary conditions | General Papers | Transportation | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MANAGEMENT | Studies | Transportation problem (Operations research)

linear programming | transportation problem | primal-dual algorithm | optimization | methodology | Operations research | Algorithms | Necessary conditions | General Papers | Transportation | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MANAGEMENT | Studies | Transportation problem (Operations research)

Journal Article

Journal of Optimization Theory and Applications, ISSN 0022-3239, 2015, Volume 164, Issue 3, pp. 993 - 1025

We propose a splitting algorithm for solving a coupled system of primal-dual monotone inclusions in real Hilbert spaces...

Monotone inclusion | Coupled system | Cocoercivity | Composite operator | Operator splitting | Duality | Monotone operator | Forward–backward algorithm | Primal–dual algorithm | MATHEMATICS, APPLIED | Primal-dual algorithm | SIGNAL RECOVERY | DECOMPOSITION | PROXIMAL POINT ALGORITHM | Forward-backward algorithm | COMPOSITE | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | CONVERGENCE | Algorithms | Studies | Operations research | Hilbert space | Mathematical models | Formulations | Operators | Splitting | Joining | Representations | Inclusions | Optimization | Convergence

Monotone inclusion | Coupled system | Cocoercivity | Composite operator | Operator splitting | Duality | Monotone operator | Forward–backward algorithm | Primal–dual algorithm | MATHEMATICS, APPLIED | Primal-dual algorithm | SIGNAL RECOVERY | DECOMPOSITION | PROXIMAL POINT ALGORITHM | Forward-backward algorithm | COMPOSITE | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | CONVERGENCE | Algorithms | Studies | Operations research | Hilbert space | Mathematical models | Formulations | Operators | Splitting | Joining | Representations | Inclusions | Optimization | Convergence

Journal Article

Computers and Operations Research, ISSN 0305-0548, 11/2016, Volume 75, pp. 28 - 37

This paper deals with online resource allocation problems whereby buyers with a limited total budget want to purchase items which become available one at a...

Online optimization | Adwords problem | Stochastic optimization | Primal–dual algorithm | Resource allocation | L-Shaped method | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Primal-dual algorithm | ENGINEERING, INDUSTRIAL | Electrical engineering | Corporate sponsorship | Management science | Algorithms | Analysis | Web sites

Online optimization | Adwords problem | Stochastic optimization | Primal–dual algorithm | Resource allocation | L-Shaped method | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Primal-dual algorithm | ENGINEERING, INDUSTRIAL | Electrical engineering | Corporate sponsorship | Management science | Algorithms | Analysis | Web sites

Journal Article

Numerical algorithms, ISSN 1572-9265, 2015, Volume 71, Issue 3, pp. 519 - 540

We introduce and investigate the convergence properties of an inertial forward-backward-forward splitting algorithm for approaching the set of zeros of the sum of a maximally monotone operator...

Primal-dual algorithm | 65K05 | Subdifferential | Numeric Computing | Theory of Computation | Inertial splitting algorithm | Maximally monotone operator | Algorithms | Algebra | Resolvent | Convex optimization | 90C25 | Numerical Analysis | Computer Science | 47H05 | MATHEMATICS, APPLIED | PROXIMAL POINT ALGORITHM | COMPOSITE | CONVERGENCE | MAPPINGS | OPTIMIZATION | OPERATORS | Operators | Splitting | Image processing | Inertial | Inclusions | Optimization | Convergence

Primal-dual algorithm | 65K05 | Subdifferential | Numeric Computing | Theory of Computation | Inertial splitting algorithm | Maximally monotone operator | Algorithms | Algebra | Resolvent | Convex optimization | 90C25 | Numerical Analysis | Computer Science | 47H05 | MATHEMATICS, APPLIED | PROXIMAL POINT ALGORITHM | COMPOSITE | CONVERGENCE | MAPPINGS | OPTIMIZATION | OPERATORS | Operators | Splitting | Image processing | Inertial | Inclusions | Optimization | Convergence

Journal Article

ACM Transactions on Algorithms (TALG), ISSN 1549-6325, 01/2019, Volume 15, Issue 1, pp. 1 - 18

... . We give a randomized O (log k )-competitive online algorithm for the generalized caching problem, improving the previous bound of O (log 2 k...

Online primal dual | knapsack cover inequalities | Knapsack cover inequalities | MATHEMATICS, APPLIED | COMPUTER SCIENCE, THEORY & METHODS

Online primal dual | knapsack cover inequalities | Knapsack cover inequalities | MATHEMATICS, APPLIED | COMPUTER SCIENCE, THEORY & METHODS

Journal Article

Networks, ISSN 0028-3045, 2018, Volume 72, Issue 2, pp. 174 - 181

This article presents an approximation algorithm for the Steiner connectivity problem, which is a generalization of the Steiner tree problem that involves paths instead of edges...

degree property | hypergraph | primal‐dual approximation | Steiner tree | primal-dual approximation | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Algorithms | Approximation | Decision trees | Mathematical analysis | Public transportation | Nodes

degree property | hypergraph | primal‐dual approximation | Steiner tree | primal-dual approximation | COMPUTER SCIENCE, HARDWARE & ARCHITECTURE | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | Algorithms | Approximation | Decision trees | Mathematical analysis | Public transportation | Nodes

Journal Article

IEEE Transactions on Signal Processing, ISSN 1053-587X, 02/2017, Volume 65, Issue 4, pp. 998 - 1012

Journal Article

Optimization methods & software, ISSN 1029-4937, 2018, Volume 34, Issue 3, pp. 489 - 514

Proximal splitting algorithms for monotone inclusions (and convex optimization problems...

fixed points of nonexpansive mappings | forward-backward algorithm | Douglas-Rachford algorithm | primal-dual algorithm | Tikhonov regularization | splitting methods | Douglas–Rachford algorithm | forward–backward algorithm | primal–dual algorithm | MATHEMATICS, APPLIED | SET | APPROXIMATION | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MONOTONE INCLUSIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | Sequences | Asymptotic properties | Mapping | Inclusions | Optimization | Linear operators | Convergence | Computational geometry | Splitting | Algorithms | Hilbert space | Convexity | Iterative methods | Regularization

fixed points of nonexpansive mappings | forward-backward algorithm | Douglas-Rachford algorithm | primal-dual algorithm | Tikhonov regularization | splitting methods | Douglas–Rachford algorithm | forward–backward algorithm | primal–dual algorithm | MATHEMATICS, APPLIED | SET | APPROXIMATION | COMPUTER SCIENCE, SOFTWARE ENGINEERING | MONOTONE INCLUSIONS | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | MINIMIZATION | Sequences | Asymptotic properties | Mapping | Inclusions | Optimization | Linear operators | Convergence | Computational geometry | Splitting | Algorithms | Hilbert space | Convexity | Iterative methods | Regularization

Journal Article