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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Chavent, Guy |
Nonlinear Least Squares for Inverse Problems |
I07718 |
2010 |
eBook |
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| 2 |
Chavent, Guy |
Inverse Problems of Wave Propagation and Diffraction |
I01974 |
1997 |
eBook |
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| Title | Nonlinear Least Squares for Inverse Problems : Theoretical Foundations and Step-by-Step Guide for Applications |
| Author(s) | Chavent, Guy |
| Publication | Dordrecht, Springer Netherlands, 2010. |
| Description | XIV, 360 p : online resource |
| Abstract Note | 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 results, the applicability of various regularization techniques can be checked. The second objective of the book is to present frequent practical issues when solving NLS problems. Application oriented readers will find a detailed analysis of problems on the reduction to finite dimensions, the algebraic determination of derivatives (sensitivity functions versus adjoint method), the determination of the number of retrievable parameters, the choice of parametrization (multiscale, adaptive) and the optimization step, and the general organization of the inversion code. Special attention is paid to parasitic local minima, which can stop the optimizer far from the global minimum: multiscale parametrization is shown to be an efficient remedy in many cases, and a new condition is given to check both wellposedness and the absence of parasitic local minima. For readers that are interested in projection on non-convex sets, Part II of this book presents the geometric theory of quasi-convex and strictly quasi-convex (s.q.c.) sets. S.q.c. sets can be recognized by their finite curvature and limited deflection and possess a neighborhood where the projection is well-behaved. Throughout the book, each chapter starts with an overview of the presented concepts and results |
| ISBN,Price | 9789048127856 |
| Keyword(s) | 1. APPLIED MATHEMATICS
2. CALCULUS OF VARIATIONS
3. Calculus of Variations and Optimal Control; Optimization
4. EBOOK
5. EBOOK - SPRINGER
6. ENGINEERING MATHEMATICS
7. Mathematical and Computational Engineering
8. Mathematical Methods in Physics
9. Mathematical Modeling and Industrial Mathematics
10. MATHEMATICAL MODELS
11. PHYSICS
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| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I07718 |
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On Shelf |
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2.
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| Title | Inverse Problems of Wave Propagation and Diffraction : Proceedings of the Conference Held in Aix-les-Bains, France, September 23???27, 1996 |
| Author(s) | Chavent, Guy;Sabatier, Pierre C |
| Publication | Berlin, Heidelberg, Springer Berlin Heidelberg, 1997. |
| Description | XV, 384 p. 122 illus : online resource |
| Abstract Note | This book describes the state of the art in the field of modeling and solving numerically inverse problems of wave propagation and diffraction. It addresses mathematicians, physicists and engineers as well. Applications in such fields as acoustics, optics, and geophysics are emphasized. Of special interest are the contributions to two and three dimensional problems without reducing symmetries. Topics treated are the obstacle problem, scattering by classical media, and scattering by distributed media |
| ISBN,Price | 9783540687139 |
| Keyword(s) | 1. ACOUSTICS
2. CLASSICAL MECHANICS
3. EBOOK
4. EBOOK - SPRINGER
5. GEOPHYSICS
6. Geophysics/Geodesy
7. Mathematical Methods in Physics
8. MECHANICS
9. Numerical and Computational Physics, Simulation
10. PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I01974 |
|
|
On Shelf |
|
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