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Iterative optimization in inverse problems

This book covers iterative optimization methods that stems from inverse problems and related issues. The author presents the theoretical side of inverse methods and as a result ignores discrete problems, stochastic methods, and combinatorial optimization. The coverage moves from an introduction of a...

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Bibliographic Details
Main Author: Byrne, Charles L. 1947- (Author)
Format: Book
Language:English
Published: Boca Raton, FL CRC Press, Taylor & Francis Group [2014]
Series:Monographs and research notes in mathematics
Subjects:
Iterative methods (Mathematics)
Algorithms
Inverse problems (Differential equations)
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Table of Contents:
  • Background
  • Sequential Optimization
  • Barrier-Function and Penalty-Function Methods
  • Proximal Minimization
  • The Forward-Backward Splitting Algorithm
  • Operators
  • Averaged and Paracontractive Operators
  • Convex Feasibility and Related Problems
  • Eigenvalue Bounds
  • Jacobi and Gauss-Seidel Methods
  • The SMART and EMML Algorithms
  • Alternating Minimization
  • The EM Algorithm
  • Geometric Programming and the MART
  • Variational Inequality Problems and Algorithms
  • Set-Valued Functions in Optimization
  • Fenchel Duality
  • Compressed Sensing

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