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 introductio...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Byrne, Charles L., 1947- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boca Raton : CRC Press, [2014]
Colección:Monographs and research notes in mathematics.
Temas:
Iterative methods (Mathematics)
Algorithms.
Inverse problems (Differential equations)
Computer algorithms.
Itération (Mathématiques)
Algorithmes.
Problèmes inverses (Équations différentielles)
algorithms.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Inverses Problem
Optimierung
Iteration
Acceso en línea:Texto completo (Requiere registro previo con correo institucional)
Tabla de Contenidos:
  • 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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