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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Chavent, Guy (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2010.
Edition:1st ed. 2010.
Series:Scientific Computation,
Subjects:
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.
Online Access:Texto Completo
Table of Contents:
  • 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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