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...
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Livre numérique |
| Langue: | Anglais |
| Publié: |
Dordrecht :
Springer Netherlands
2010.
Cham : Springer Nature |
| Édition: | 1st ed. 2010. |
| Collection: | Scientific Computation
|
| Accès en ligne: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Note: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Nonlinear least squares for inverse problems, theoretical foundations and step-by-step guide for applications, G. Chavent, Dordrecht, Springer Verlag, 2009, 1 vol. (XIV-360 p.), Scientific computation, 978-90-481-2784-9 • Nonlinear Least Squares for Inverse Problems, Texte imprimé, 9789048127863 • Nonlinear least squares for inverse problems, theoretical foundations and step-by-step guide for applications, G. Chavent, Dordrecht, Springer Verlag, 2009, 1 vol. (XIV-360 p.), Scientific computation, 978-90-481-2784-9 • Nonlinear Least Squares for Inverse Problems, Texte imprimé, 9789400730601 |
Table des matières:
- 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