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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
Main Author: Chavent, Guy
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 2010, 2010
Edition:1st ed. 2010
Series:Scientific Computation
Subjects:
Engineering Mathematics
Calculus Of Variations And Optimization
Mathematical Modeling And Industrial Mathematics
Mathematical Physics
Engineering / Data Processing
Mathematical Optimization
Mathematical And Computational Engineering Applications
Calculus Of Variations
Mathematical Methods In Physics
Mathematical Models
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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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