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...
Otros Autores: | |
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Formato: | Libro electrónico |
Idioma: | Inglés |
Publicado: |
Boca Raton :
CRC Press
[2014]
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Edición: | 1st edition |
Colección: | Monographs and Research Notes in Mathematics
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Materias: | |
Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009627895506719 |
Tabla de Contenidos:
- Front Cover; Dedication; Contents; Preface; Chapter 1: Background; Chapter 2: Sequential Optimization; Chapter 3: Barrier-Function and Penalty-Function Methods; Chapter 4: Proximal Minimization; Chapter 5: The Forward-Backward Splitting Algorithm; Chapter 6: Operators; Chapter 7: Averaged and Paracontractive Operators; Chapter 8: Convex Feasibility and Related Problems; Chapter 9: Eigenvalue Bounds; Chapter 10: Jacobi and Gauss-Seidel Methods; Chapter 11: The SMART and EMML Algorithms; Chapter 12: Alternating Minimization; Chapter 13: The EM Algorithm
- Chapter 14: Geometric Programming and the MARTChapter 15: Variational Inequality Problems and Algorithms; Chapter 16: Set-Valued Functions in Optimization; Chapter 17: Fenchel Duality; Chapter 18: Compressed Sensing; Appendix A: Bregman-Legendre Functions; Bibliography