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Splitting Methods in Communication, Imaging, Science, and Engineering

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Cover of 'Splitting Methods in Communication, Imaging, Science, and Engineering'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Some Facts About Operator-Splitting and Alternating Direction Methods
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    Chapter 3 Operator Splitting
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    Chapter 4 Convergence Rate Analysis of Several Splitting Schemes
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    Chapter 5 Self Equivalence of the Alternating Direction Method of Multipliers
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    Chapter 6 Application of the Strictly Contractive Peaceman-Rachford Splitting Method to Multi-Block Separable Convex Programming
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    Chapter 7 Nonconvex Sparse Regularization and Splitting Algorithms
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    Chapter 8 ADMM and Non-convex Variational Problems
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    Chapter 9 Operator Splitting Methods in Compressive Sensing and Sparse Approximation
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    Chapter 10 First Order Algorithms in Variational Image Processing
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    Chapter 11 A Parameter Free ADI-Like Method for the Numerical Solution of Large Scale Lyapunov Equations
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    Chapter 12 Splitting Enables Overcoming the Curse of Dimensionality
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    Chapter 13 ADMM Algorithmic Regularization Paths for Sparse Statistical Machine Learning
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    Chapter 14 Decentralized Learning for Wireless Communications and Networking
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    Chapter 15 Splitting Methods for SPDEs: From Robustness to Financial Engineering, Optimal Control, and Nonlinear Filtering
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    Chapter 16 Application of Operator Splitting Methods in Finance
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    Chapter 17 A Numerical Method to Solve Multi-Marginal Optimal Transport Problems with Coulomb Cost
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    Chapter 18 Robust Split-Step Fourier Methods for Simulating the Propagation of Ultra-Short Pulses in Single- and Two-Mode Optical Communication Fibers
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    Chapter 19 Operator Splitting Methods with Error Estimator and Adaptive Time-Stepping. Application to the Simulation of Combustion Phenomena
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    Chapter 20 Splitting Methods for Some Nonlinear Wave Problems
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    Chapter 21 Operator Splitting Algorithms for Free Surface Flows: Application to Extrusion Processes
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    Chapter 22 An Operator Splitting Approach to the Solution of Fluid-Structure Interaction Problems in Hemodynamics
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    Chapter 23 On Circular Cluster Formation in a Rotating Suspension of Non-Brownian Settling Particles in a Fully Filled Circular Cylinder: An Operator Splitting Approach to the Numerical Simulation
Attention for Chapter 3: Operator Splitting
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Chapter title
Operator Splitting
Chapter number 3
Book title
Splitting Methods in Communication, Imaging, Science, and Engineering
Published by
Springer International Publishing, January 2017
DOI 10.1007/978-3-319-41589-5_3
Book ISBNs
978-3-31-941587-1, 978-3-31-941589-5

Shev MacNamara, Gilbert Strang


Roland Glowinski, Stanley J. Osher, Wotao Yin

Twitter Demographics

The data shown below were collected from the profile of 1 tweeter who shared this research output. Click here to find out more about how the information was compiled.

Mendeley readers

The data shown below were compiled from readership statistics for 92 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Germany 1 1%
Italy 1 1%
Norway 1 1%
Unknown 89 97%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 29 32%
Student > Master 17 18%
Student > Doctoral Student 14 15%
Researcher 10 11%
Professor 3 3%
Other 9 10%
Unknown 10 11%
Readers by discipline Count As %
Engineering 18 20%
Mathematics 17 18%
Physics and Astronomy 17 18%
Computer Science 7 8%
Earth and Planetary Sciences 3 3%
Other 15 16%
Unknown 15 16%