Iterative optimization in inverse problems
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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| Format: | Book |
| Language: | English |
| Published: |
Boca Raton, FL
CRC Press, Taylor & Francis Group
[2014]
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| Series: | Monographs and research notes in mathematics
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| Subjects: | |
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| Call Number : | QA 297.8 .B974 2014 |
MARC
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| 001 | 101226 | ||
| 003 | MY-KLNDU | ||
| 005 | 20241220035647.0 | ||
| 008 | 221104 2014 flua bi 001 0 eng d | ||
| 020 | |a 9781482222333 (hardback) | ||
| 039 | 9 | |a 202211041151 |b VLOAD |c 201701161133 |d faezah |y 201610251603 |z hasri | |
| 040 | |a UPNM |b eng |c UPNM |e rda | ||
| 090 | |a QA 297.8 |b .B974 2014 | ||
| 100 | 1 | |a Byrne, Charles L. |d 1947- |e author | |
| 245 | 1 | 0 | |a Iterative optimization in inverse problems |c Charles L. Byrne |
| 264 | 1 | |a Boca Raton, FL |b CRC Press, Taylor & Francis Group |c [2014] | |
| 264 | 4 | |c © 2014 | |
| 300 | |a xx, 279 pages |b illustrations |c 24 cm. | ||
| 336 | |a text |2 rdacontent | ||
| 337 | |a unmediated |2 rdamedia | ||
| 338 | |a volume |2 rdacarrier | ||
| 490 | 1 | |a Monographs and research notes in mathematics | |
| 500 | |a "A Chapman & Hall book" | ||
| 504 | |a Includes bibliographical references | ||
| 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 | |
| 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 | ||
| 592 | |a 32584 |b 7/12/2016 |c RM 453.84 |h Bookline | ||
| 650 | 0 | |a Iterative methods (Mathematics) | |
| 650 | 0 | |a Algorithms | |
| 650 | 0 | |a Inverse problems (Differential equations) | |
| 830 | 0 | |a Monographs and research notes in mathematics | |
| 999 | |a vtls000057221 |c 101226 |d 101226 | ||