Iterative optimization in inverse problems /
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| Author / Creator: | Byrne, Charles L., 1947- author. |
|---|---|
| Imprint: | Boca Raton : CRC Press, [2014] ©2014 |
| Description: | 1 online resource (xx, 279 pages) |
| Language: | English |
| Series: | Monographs and research notes in mathematics Monographs and research notes in mathematics. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/13618810 |
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| 100 | 1 | |a Byrne, Charles L., |d 1947- |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjCjwBYt9BKFRDx4M7dwyd |0 http://id.loc.gov/authorities/names/n2005012723 | |
| 245 | 1 | 0 | |a Iterative optimization in inverse problems / |c Charles L. Byrne, University of Massachusetts, Lowell, USA. |
| 264 | 1 | |a Boca Raton : |b CRC Press, |c [2014] | |
| 264 | 4 | |c ©2014 | |
| 300 | |a 1 online resource (xx, 279 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file | ||
| 490 | 1 | |a Monographs and research notes in mathematics | |
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |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. | |
| 520 | |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 | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Iterative methods (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85069058 | |
| 650 | 0 | |a Algorithms. |0 http://id.loc.gov/authorities/subjects/sh85003487 | |
| 650 | 0 | |a Inverse problems (Differential equations) |0 http://id.loc.gov/authorities/subjects/sh85067684 | |
| 650 | 0 | |a Computer algorithms. |0 http://id.loc.gov/authorities/subjects/sh91000149 | |
| 650 | 6 | |a Itération (Mathématiques) | |
| 650 | 6 | |a Algorithmes. | |
| 650 | 6 | |a Problèmes inverses (Équations différentielles) | |
| 650 | 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 | |
| 650 | 7 | |a Algorithms |2 fast | |
| 650 | 7 | |a Inverse problems (Differential equations) |2 fast | |
| 650 | 7 | |a Iterative methods (Mathematics) |2 fast | |
| 650 | 7 | |a Inverses Problem |2 gnd | |
| 650 | 7 | |a Optimierung |2 gnd |0 http://d-nb.info/gnd/4043664-0 | |
| 650 | 7 | |a Iteration |2 gnd |0 http://d-nb.info/gnd/4123457-1 | |
| 776 | 0 | 8 | |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 |
| 830 | 0 | |a Monographs and research notes in mathematics. |0 http://id.loc.gov/authorities/names/no2014097732 | |
| 856 | 4 | 0 | |u https://go.oreilly.com/uchicago/library/view/-/9781482222333/?ar |y O'Reilly |
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| 928 | |t Library of Congress classification |a QA297.8 |l Online |c UC-FullText |u https://go.oreilly.com/uchicago/library/view/-/9781482222333/?ar |z O'Reilly |g ebooks |i 13761749 | ||