Title Iterative optimization in inverse problems / Charles L. Byrne, University of Massachusetts, Lowell, USA. [O'Reilly electronic resource]

Publication Info.	Boca Raton : CRC Press, [2014]
	©2014

To Access:
Available on O'Reilly for Public Libraries

Bookmark link: https://library.naperville-lib.org:444/record=b3165882~S1

QR Code

Description	1 online resource (xx, 279 pages)
	data file
Series	Monographs and research notes in mathematics
	Monographs and research notes in mathematics.
Bibliography	Includes bibliographical references and index.
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 -- Appendix A: Bregman-Legendre Functions.
Summary	"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	Iterative methods (Mathematics)
	Algorithms.
	Inverse problems (Differential equations)
	Computer algorithms.
	Itération (Mathématiques)
	Algorithmes.
	Problèmes inverses (Équations différentielles)
	algorithms.
	Computer algorithms
	Algorithms
	Inverse problems (Differential equations)
	Iterative methods (Mathematics)
	Inverses Problem
	Optimierung
	Iteration
Other Form:	Print version: Byrne, Charles L., 1947- Iterative optimization in inverse problems. Boca Raton : CRC Press, [2014] 9781482222333 (DLC) 2013038279 (OCoLC)858355537
ISBN	9781482222340 (electronic bk.)
	1482222345 (electronic bk.)
	(hardback)
	(hardback)
Standard No.	10.1201/b16485 doi

Patron reviews: add a review

You can...

Also...

More Information

More Resources

Copies