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...
Κύριος συγγραφέας: | |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Dordrecht :
Springer Netherlands,
2010.
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Σειρά: | Scientific Computation,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.