Iterative optimization in inverse problems
by
 
Byrne, Charles L., 1947, author.

Title
Iterative optimization in inverse problems

Author
Byrne, Charles L., 1947, author.

ISBN
9780429173882

Physical Description
1 online resource

Series
Monographs and research notes in mathematics

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.

Abstract
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 auxiliary function methods to a discussion of several examples of auxiliary fixed (AF) point methods in optimization to consideration of related topics such as operator fixed point methods. A few problems have been scattered throughout the book so that it might be used in a special topics class on optimization at the graduate level-- Provided by publisher.

Subject Term
Iterative methods (Mathematics)
 
Algorithms.
 
Inverse problems (Differential equations)

Electronic Access
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LibraryMaterial TypeItem BarcodeShelf Number[[missing key: search.ChildField.HOLDING]]Status
Online LibraryE-Book544140-1001QA297.8 .B974 2014CRC E-Books