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2011, 1st Edition., CMS Books in Mathematics, ISBN 9781461428695, 624
This book provides a largely self-contained account of the main results of convex analysis and optimization in Hilbert space. A concise exposition of related... 
Mathematics | Hilbert space | Visualization | Convex functions | Algorithms | Calculus of Variations and Optimal Control; Optimization | Approximation theory | Monotone operators | Nonlinear functional analysis
eBook
Computational Optimization and Applications, ISSN 0926-6003, 04/2012, Volume 51, Issue 3, pp. 1065 - 1088
... inequality constraints Yair Censor Wei Chen Patrick L. Combettes Ran Davidi Gabor T. Herman Received: 22 December 2009 / Published online: 17 March 2011 Springer Science... 
Linear inequalities | Sparse matrices | Numerical evaluation | Optimization | Projection methods | Convex feasibility problems | MATHEMATICS, APPLIED | SET | BEHAVIOR | IMAGE-RECONSTRUCTION | RESTORATION | ALGORITHMS | RECOVERY | OPERATIONS RESEARCH & MANAGEMENT SCIENCE | FIXED-POINTS | STRONG-CONVERGENCE | SPARSE SYSTEMS | Computer science | Censorship | Analysis | Methods | Studies | Patents | Effectiveness | Computation | Inequalities | Projection | Feasibility | Dealing
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 2012, Volume 262, Issue 1, pp. 400 - 408
The method of periodic projections consists in iterating projections onto m closed convex subsets of a Hilbert space according to a periodic sweeping strategy.... 
Alternating projections | Best approximation | Von Neumann algorithm | Limit cycle | MATHEMATICS | ALTERNATING PROJECTION | PRODUCT | SETS | HILBERT-SPACE | Analysis | Methods | Algorithms
Journal Article
Set-Valued and Variational Analysis, ISSN 1877-0533, 6/2012, Volume 20, Issue 2, pp. 307 - 330
..., Lipschitzian, and Parallel-Sum Type Monotone Operators Patrick L. Combettes · Jean-Christophe Pesquet Received: 10 July 2011 / Accepted: 3 August 2011 / Published online... 
Monotone inclusion | Nonsmooth convex optimization | Mathematics | Maximal monotone operator | Geometry | 90C25 | Analysis | Splitting algorithm | 49M29 | 49M27 | 49N15 | Parallel sum | 47H05 | Set-valued duality | MATHEMATICS, APPLIED | STABILITY | DECOMPOSITION | PROXIMAL POINT ALGORITHM | VARIATIONAL-INEQUALITIES | RECOVERY | MINIMIZATION | MAPPINGS | Algorithms | Optimization and Control
Journal Article
Set-Valued and Variational Analysis, ISSN 1877-0533, 6/2018, Volume 26, Issue 2, pp. 247 - 264
Journal Article
SIAM Journal on Optimization, ISSN 1052-6234, 2011, Volume 21, Issue 4, pp. 1230 - 1250
... L. COMBETTES Abstract. The principle underlying this paper is the basic observation that the problem of simultaneously solving a large class of composite... 
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
Inverse Problems, ISSN 0266-5611, 12/2008, Volume 24, Issue 6, p. 065014
... A proximal decomposition method for solving convex variational inverse problems * Patrick L Combettes 1,3 and Jean-Christophe Pesquet 2 1 UPMC Universit´ e Paris 06... 
MATHEMATICS, APPLIED | PHASE | MINIMIZATION | FEASIBILITY | QUADRATIC OPTIMIZATION | IMAGE RECOVERY | THRESHOLDING ALGORITHM | PROJECTIONS | PHYSICS, MATHEMATICAL | NOISE REMOVAL | FIXED-POINTS
Journal Article
17.