Nonlinear Least Squares for Inverse Problems Theoretical Foundations and Step-by-Step Guide for Applications /

This book provides an introduction into the least squares resolution of nonlinear inverse problems. The first goal is to develop a geometrical theory to analyze nonlinear least square (NLS) problems with respect to their quadratic wellposedness, i.e. both wellposedness and optimizability. Using the...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Chavent, Guy (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Dordrecht : Springer Netherlands : Imprint: Springer, 2010.
Edición:1st ed. 2010.
Colección:Scientific Computation,
Temas:
Mathematical models.
Mathematical physics.
Engineering mathematics.
Engineering-Data processing.
Mathematical optimization.
Calculus of variations.
Mathematical Modeling and Industrial Mathematics.
Mathematical Methods in Physics.
Mathematical and Computational Engineering Applications.
Calculus of Variations and Optimization.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Nonlinear Least Squares
  • Nonlinear Inverse Problems: Examples and Difficulties
  • Computing Derivatives
  • Choosing a Parameterization
  • Output Least Squares Identifiability and Quadratically Wellposed NLS Problems
  • Regularization of Nonlinear Least Squares Problems
  • A generalization of convex sets
  • Quasi-Convex Sets
  • Strictly Quasi-Convex Sets
  • Deflection Conditions for the Strict Quasi-convexity of Sets.

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