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|a Byrne, Charles L.,
|d 1947-
|e author.
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1 |
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|a Iterative optimization in inverse problems /
|c Charles L. Byrne, University of Massachusetts, Lowell, USA.
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|a Boca Raton :
|b CRC Press,
|c [2014]
|
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|c ©2014
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300 |
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|a 1 online resource (xx, 279 pages)
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|a online resource
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347 |
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|a data file
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490 |
1 |
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|a Monographs and research notes in mathematics
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504 |
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|a Includes bibliographical references and index.
|
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0 |
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|a 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.
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|a "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"--
|c Provided by publisher
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|a Print version record.
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|a O'Reilly
|b O'Reilly Online Learning: Academic/Public Library Edition
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650 |
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|a Iterative methods (Mathematics)
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650 |
|
0 |
|a Algorithms.
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650 |
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0 |
|a Inverse problems (Differential equations)
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650 |
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|a Computer algorithms.
|
650 |
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6 |
|a Itération (Mathématiques)
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650 |
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6 |
|a Algorithmes.
|
650 |
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6 |
|a Problèmes inverses (Équations différentielles)
|
650 |
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7 |
|a algorithms.
|2 aat
|
650 |
|
7 |
|a MATHEMATICS
|x Calculus.
|2 bisacsh
|
650 |
|
7 |
|a MATHEMATICS
|x Mathematical Analysis.
|2 bisacsh
|
650 |
|
7 |
|a Computer algorithms.
|2 fast
|0 (OCoLC)fst00872010
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650 |
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7 |
|a Algorithms.
|2 fast
|0 (OCoLC)fst00805020
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650 |
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7 |
|a Inverse problems (Differential equations)
|2 fast
|0 (OCoLC)fst00978098
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650 |
|
7 |
|a Iterative methods (Mathematics)
|2 fast
|0 (OCoLC)fst00980827
|
650 |
|
7 |
|a Inverses Problem
|2 gnd
|
650 |
|
7 |
|a Optimierung
|2 gnd
|
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|
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|a Iteration
|2 gnd
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776 |
0 |
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|i Print version:
|a Byrne, Charles L., 1947-
|t Iterative optimization in inverse problems.
|d Boca Raton : CRC Press, [2014]
|z 9781482222333
|w (DLC) 2013038279
|w (OCoLC)858355537
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830 |
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|a Monographs and research notes in mathematics.
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856 |
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