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Fixed-Point Algorithms for Inverse Problems in Science and Engineering

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Cover of 'Fixed-Point Algorithms for Inverse Problems in Science and Engineering'

Table of Contents

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    Book Overview
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    Chapter 1 Chebyshev Sets, Klee Sets, and Chebyshev Centers with Respect to Bregman Distances: Recent Results and Open Problems
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    Chapter 2 Self-Dual Smooth Approximations of Convex Functions via the Proximal Average
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    Chapter 3 A Linearly Convergent Algorithm for Solving a Class of Nonconvex/Affine Feasibility Problems
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    Chapter 4 The Newton Bracketing Method for Convex Minimization: Convergence Analysis
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    Chapter 5 Entropic Regularization of the ℓ 0 Function
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    Chapter 6 The Douglas–Rachford Algorithm in the Absence of Convexity
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    Chapter 7 A Comparison of Some Recent Regularity Conditions for Fenchel Duality
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    Chapter 8 Fixed-Point Algorithms for Inverse Problems in Science and Engineering
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    Chapter 9 Opial-Type Theorems and the Common Fixed Point Problem
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    Chapter 10 Proximal Splitting Methods in Signal Processing
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    Chapter 11 Arbitrarily Slow Convergence of Sequences of Linear Operators: A Survey
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    Chapter 12 Graph-Matrix Calculus for Computational Convex Analysis
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    Chapter 13 Identifying Active Manifolds in Regularization Problems
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    Chapter 14 Approximation Methods for Nonexpansive Type Mappings in Hadamard Manifolds
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    Chapter 15 Existence and Approximation of Fixed Points of Bregman Firmly Nonexpansive Mappings in Reflexive Banach Spaces
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    Chapter 16 Regularization Procedures for Monotone Operators: Recent Advances
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    Chapter 17 Minimizing the Moreau Envelope of Nonsmooth Convex Functions over the Fixed Point Set of Certain Quasi-Nonexpansive Mappings
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    Chapter 18 The Brézis-Browder Theorem Revisited and Properties of Fitzpatrick Functions of Order n
Attention for Chapter 10: Proximal Splitting Methods in Signal Processing
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Chapter title
Proximal Splitting Methods in Signal Processing
Chapter number 10
Book title
Fixed-Point Algorithms for Inverse Problems in Science and Engineering
Published by
Springer New York, May 2011
DOI 10.1007/978-1-4419-9569-8_10
Book ISBNs
978-1-4419-9568-1, 978-1-4419-9569-8
Authors

Patrick L. Combettes, Jean-Christophe Pesquet, Combettes, Patrick L., Pesquet, Jean-Christophe

Editors

Heinz H. Bauschke, Regina S. Burachik, Patrick L. Combettes, Veit Elser, D. Russell Luke, Henry Wolkowicz

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 642 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 14 2%
France 6 <1%
Germany 6 <1%
China 6 <1%
United Kingdom 3 <1%
Brazil 2 <1%
Italy 2 <1%
Switzerland 2 <1%
Spain 2 <1%
Other 6 <1%
Unknown 593 92%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 227 35%
Researcher 116 18%
Student > Master 76 12%
Student > Doctoral Student 38 6%
Professor > Associate Professor 29 5%
Other 90 14%
Unknown 66 10%
Readers by discipline Count As %
Engineering 185 29%
Computer Science 181 28%
Mathematics 113 18%
Physics and Astronomy 25 4%
Agricultural and Biological Sciences 9 1%
Other 36 6%
Unknown 93 14%