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Iterative optimization in inverse problems /

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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)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton : CRC Press, [2014]
Series:Monographs and research notes in mathematics
Subjects:
Iterative methods (Mathematics)
Algorithms.
Inverse problems (Differential equations)
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 1. Background
  • 2. Sequential optimization
  • 3. Barrier-function and penalty-function methods
  • 4. Proximal minimization
  • 5. The forward-backward splitting algorithm
  • 6. Operators
  • 7. Averaged and paracontractive operators
  • 8. Convex feasibility and related problems
  • 9. Eigenvalue bounds
  • 10. Jacobi and Gauss-Seidel methods
  • 11. The SMART and EMML algorithms
  • 12. Alternating minimization
  • 13. The EM algorithm
  • 14. Geometric programming and the MART
  • 15. Variational inequality problems and algorithms
  • 16. Set-valued functions in optimization
  • 17. Fenchel duality
  • 18. Compressed sensing.