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Fixed-Point Algorithms for Inverse Problems in Science and Engineering

Edited by Heinz H. Bauschke (), Regina S. Burachik (), Patrick L. Combettes (), Veit Elser (), D. Russell Luke () and Henry Wolkowicz ()

in Springer Optimization and Its Applications from Springer, currently edited by Pardalos, Panos, Thai, My T. and Du, Ding-Zhu

Date: 2011
ISBN: 978-1-4419-9569-8
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Chapters in this book:

Ch Chapter 1 Chebyshev Sets, Klee Sets, and Chebyshev Centers with Respect to Bregman Distances: Recent Results and Open Problems
Heinz H. Bauschke, Mason S. Macklem and Xianfu Wang
Ch Chapter 10 Proximal Splitting Methods in Signal Processing
Patrick L. Combettes and Jean-Christophe Pesquet
Ch Chapter 11 Arbitrarily Slow Convergence of Sequences of Linear Operators: A Survey
Frank Deutsch and Hein Hundal
Ch Chapter 12 Graph-Matrix Calculus for Computational Convex Analysis
Bryan Gardiner and Yves Lucet
Ch Chapter 13 Identifying Active Manifolds in Regularization Problems
W. L. Hare
Ch Chapter 14 Approximation Methods for Nonexpansive Type Mappings in Hadamard Manifolds
Genaro López and Victoria Martín-Márquez
Ch Chapter 15 Existence and Approximation of Fixed Points of Bregman Firmly Nonexpansive Mappings in Reflexive Banach Spaces
Simeon Reich and Shoham Sabach
Ch Chapter 16 Regularization Procedures for Monotone Operators: Recent Advances
J. P. Revalski
Ch Chapter 17 Minimizing the Moreau Envelope of Nonsmooth Convex Functions over the Fixed Point Set of Certain Quasi-Nonexpansive Mappings
Isao Yamada, Masahiro Yukawa and Masao Yamagishi
Ch Chapter 18 The Brézis-Browder Theorem Revisited and Properties of Fitzpatrick Functions of Order n
Liangjin Yao
Ch Chapter 2 Self-Dual Smooth Approximations of Convex Functions via the Proximal Average
Heinz H. Bauschke, Sarah M. Moffat and Xianfu Wang
Ch Chapter 3 A Linearly Convergent Algorithm for Solving a Class of Nonconvex/Affine Feasibility Problems
Amir Beck and Marc Teboulle
Ch Chapter 4 The Newton Bracketing Method for Convex Minimization: Convergence Analysis
Adi Ben-Israel and Yuri Levin
Ch Chapter 5 Entropic Regularization of the ℓ 0 Function
Jonathan M. Borwein and D. Russell Luke
Ch Chapter 6 The Douglas–Rachford Algorithm in the Absence of Convexity
Jonathan M. Borwein and Brailey Sims
Ch Chapter 7 A Comparison of Some Recent Regularity Conditions for Fenchel Duality
Radu Ioan Boţ and Ernö Robert Csetnek
Ch Chapter 8 Non-Local Functionals for Imaging
Jérôme Boulanger, Peter Elbau, Carsten Pontow and Otmar Scherzer
Ch Chapter 9 Opial-Type Theorems and the Common Fixed Point Problem
Andrzej Cegielski and Yair Censor

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DOI: 10.1007/978-1-4419-9569-8

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