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Springer Optimization and Its Applications

Fixed-Point Algorithms for Inverse Problems in Science and Engineering

Editors: Bauschke, H.H., Burachik, R., Combettes, P.L., Elser, V., Luke, D.R., Wolkowicz, H. (Eds.)

  • International group of expert editors and contributors.
  • Presents all new material in the areas of projection and fixed point algorithms for mathematics and the applied sciences.
  • Basis for innovative research from a broad range of topics such as variational analysis, numerical linear algebra, biotechnology, materials science, computational solid state physics, and chemistry. 
  • Areas of application include engineering (image and signal reconstruction and decompression problems), computer tomography and radiation treatment planning (convex feasibility problems), astronomy (adaptive optics), crystallography (molecular structure reconstruction), computational chemistry (molecular structure simulation).
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Hardcover $189.00
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  • ISBN 978-1-4419-9568-1
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Softcover $189.00
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About this book

 

Fixed-Point Algorithms for Inverse Problems in Science and Engineering presents some of the most recent work from leading researchers in variational and numerical analysis.  The contributions in this collection provide state-of-the-art theory and practice in first-order fixed-point algorithms, identify emerging problems driven by applications, and discuss new approaches for solving these problems.

 

This book is a compendium of topics explored at the Banff International Research Station “Interdisciplinary Workshop on Fixed-Point Algorithms for Inverse Problems in Science and Engineering”  in November of 2009.  The workshop included a broad range of research including variational analysis, numerical linear algebra, biotechnology, materials science, computational solid-state physics, and chemistry.

 

Key topics and features of this book include:

·         Theory of Fixed-point algorithms: variational analysis, convex analysis, convex and nonconvex  optimization, subdifferential calculus, nonsmooth analysis, proximal point methods, projection methods, resolvent and related fixed-point theoretic methods, and monotone operator theory

·         Numerical analysis of fixed-point algorithms: choice of step lengths, of weights, of blocks for block-iterative and parallel methods, and of relaxation parameters; regularization of ill-posed problems; numerical comparison of various methods

·         Applications:  Image and signal processing, antenna optimization, location problems

 

The wide scope of applications presented in this volume easily serve as a basis for new and innovative research and collaboration.

Table of contents (6 chapters)

  • A Linearly Convergent Algorithm for Solving a Class of Nonconvex/Affine Feasibility Problems

    Amir Beck, Marc Teboulle

    Pages 33-48

  • Opial-Type Theorems and the Common Fixed Point Problem

    Andrzej Cegielski, Yair Censor

    Pages 155-183

  • Proximal Splitting Methods in Signal Processing

    Patrick L. Combettes, Jean-Christophe Pesquet

    Pages 185-212

  • Graph-Matrix Calculus for Computational Convex Analysis

    Bryan Gardiner, Yves Lucet

    Pages 243-259

  • Existence and Approximation of Fixed Points of Bregman Firmly Nonexpansive Mappings in Reflexive Banach Spaces

    Simeon Reich, Shoham Sabach

    Pages 301-316

Buy this book

eBook $149.00
price for USA
  • ISBN 978-1-4419-9569-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-1-4419-9568-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-1-4614-2900-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Fixed-Point Algorithms for Inverse Problems in Science and Engineering
Editors
  • Heinz H. Bauschke
  • Regina Burachik
  • Patrick L. Combettes
  • Veit Elser
  • D. Russell Luke
  • Henry Wolkowicz
Series Title
Springer Optimization and Its Applications
Series Volume
49
Copyright
2011
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-1-4419-9569-8
DOI
10.1007/978-1-4419-9569-8
Hardcover ISBN
978-1-4419-9568-1
Softcover ISBN
978-1-4614-2900-5
Series ISSN
1931-6828
Edition Number
1
Number of Pages
XII, 404
Topics