Duality and Convex Programming (Q2789804)

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English	Duality and Convex Programming	scientific article

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scholarly article

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Duality and Convex Programming (English)

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Jonathan M. Borwein

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D. Russell Luke

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Handbook of Mathematical Methods in Imaging

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publication date

2 March 2016

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-1-4939-0790-8_7

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Global convergence of a non-convex Douglas-Rachford iteration

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Mathematical problems in image processing. Partial differential equations and the calculus of variations. Foreword by Olivier Faugeras

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On Projection Algorithms for Solving Convex Feasibility Problems

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Convex analysis and monotone operator theory in Hilbert spaces

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Finding best approximation pairs relative to two closed convex sets in Hilbert spaces

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Restricted normal cones and the method of alternating projections: theory

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Restricted normal cones and sparsity optimization with affine constraints

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Sparsity Constrained Nonlinear Optimization: Optimality Conditions and Algorithms

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A Dual Approach to Multidimensional $L_p$ Spectral Estimation Problems

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Iterative hard thresholding for compressed sensing

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Numerical optimization. Theoretical and practical aspects. Transl. from the French

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On the failure of maximum entropy reconstruction for Fredholm equations and other infinite systems

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Symbolic Fenchel conjugation

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Convergence of Best Entropy Estimates

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Techniques of variational analysis

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Variational methods in the presence of symmetry

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Maximum entropy reconstruction using derivative information. II: Computational results

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Maximum Entropy Reconstruction Using Derivative Information, Part 1: Fisher Information and Convex Duality

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A simple and elementary proof of the Karush-Kuhn-Tucker theorem for inequality-constrained optimization

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Variational Analysis Applied to the Problem of Optical Phase Retrieval

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Decoding by Linear Programming

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Image recovery via total variation minimization and related problems

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A first-order primal-dual algorithm for convex problems with applications to imaging

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A Nonlinear Primal-Dual Method for Total Variation-Based Image Restoration

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Atomic Decomposition by Basis Pursuit

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Method of successive projections for finding a common point of sets in metric spaces

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Signal Recovery by Proximal Forward-Backward Splitting

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Maximum d'entropie et problème des moments. (Maximum entropy and the moment problem)

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A dual algorithm for denoising and preserving edges in image processing

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Best approximation in inner product spaces

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Ideal spatial adaptation by wavelet shrinkage

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Maximum Entropy Regularization for Fredholm Integral Equations of the First Kind

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On Conjugate Convex Functions

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Hard Thresholding Pursuit: An Algorithm for Compressive Sensing

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$L_2 $ Spectral Estimation

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An Infeasible Primal-Dual Algorithm for Total Bounded Variation--Based Inf-Convolution-Type Image Restoration

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A regularized dual-based iterative method for a class of image reconstruction problems

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Alternating Projections on Manifolds

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Local linear convergence for alternating and averaged nonconvex projections

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Faster than the fast Legendre transform, the linear-time Legendre transform

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Fast Moreau envelope computation I: Numerical algorithms

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What Shape Is Your Conjugate? A Survey of Computational Convex Analysis and Its Applications

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The piecewise linear-quadratic model for computational convex analysis

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Linear and nonlinear programming.

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Relaxed averaged alternating reflections for diffraction imaging

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Finding Best Approximation Pairs Relative to a Convex and Prox-Regular Set in a Hilbert Space

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Optical Wavefront Reconstruction: Theory and Numerical Methods

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CVXGEN: a code generator for embedded convex optimization

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Monotone (nonlinear) operators in Hilbert space

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Proximité et dualité dans un espace hilbertien

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Convex parametric piecewise quadratic optimization: theory and algorithms

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A Dual Approach to Linear Inverse Problems with Convex Constraints

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Characterization of the subdifferentials of convex functions

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Convex Analysis

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On the maximal monotonicity of subdifferential mappings

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Integrals which are convex functionals. II

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Variational Analysis

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Nonlinear total variation based noise removal algorithms

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Variational methods in imaging

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From Hahn--Banach to monotonicity

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Duality for nonconvex approximation and optimization.

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Algorithms for simultaneous sparse approximation. II: Convex relaxation

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Just relax: convex programming methods for identifying sparse signals in noise

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Efficient Schemes for Total Variation Minimization Under Constraints in Image Processing

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Identifiers

zbMATH Open document ID

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10.1007/978-1-4939-0790-8_7

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2789804

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