Overview
- Step-by-step guide to solving Nonlinear Inverse Problems with Least Square methods
- Contains a geometric theory to analyze Wellposedness and Optimizability
- Detailed analysis of practical issues when solving Nonlinear Least Square problems
- Self-contained presentation of strictly quasi-convex sets
- Each chapter contains an overview of the presented concepts and results
Part of the book series: Scientific Computation (SCIENTCOMP)
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Table of contents (8 chapters)
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A generalization of convex sets
Keywords
About this book
Reviews
From the reviews:
“This comprehensive treatise on the nonlinear inverse problem, written by a mathematician with extensive experience in exploration geophysics, deals primarily with the nonlinear least squares (NLS) methods to solve such problems. … Chavent has authored a book with appeal to both the practitioner of the arcane art of NLS inversion as well as to the theorist seeking a rigorous and formal development of what is currently known about this subject.” (Sven Treitel, The Leading Edge, April, 2010)
“The book is organized so that readers interested in the more practical aspects can easily dip into the appropriate chapters of the book without having to work through the more theoretical details. … is recommended for readers who are interested in applying the OLS approach to nonlinear inverse problems. … This material is relatively accessible even to readers without a very strong background in analysis. The book will also be of interest to readers who want to learn more about … quasi-convex sets and Q-wellposedness.” (Brain Borchers, The Mathematical Association of America, July, 2010)
Authors and Affiliations
About the author
Background: Ecole Polytechnique (Paris, 1965),
Ecole Nationale Supérieure des Télécommunications (Paris,1968),
Paris-6 University (Ph. D., 1971).
Professor Chavent joined the Faculty of Paris 9-Dauphine in 1971. He is now an emeritus professor from this university. During the same span of time, he ran a research project at INRIA (Institut National de Recherche en Informatique et en Automatique), focused on industrial inverse problems (oil production and exploration, nuclear reactors, ground water management…).
Bibliographic Information
Book Title: Nonlinear Least Squares for Inverse Problems
Book Subtitle: Theoretical Foundations and Step-by-Step Guide for Applications
Authors: Guy Chavent
Series Title: Scientific Computation
DOI: https://doi.org/10.1007/978-90-481-2785-6
Publisher: Springer Dordrecht
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media B.V. 2010
Hardcover ISBN: 978-90-481-2784-9Published: 19 October 2009
Softcover ISBN: 978-94-007-3060-1Published: 14 March 2012
eBook ISBN: 978-90-481-2785-6Published: 14 March 2010
Series ISSN: 1434-8322
Series E-ISSN: 2198-2589
Edition Number: 1
Number of Pages: XIV, 360
Topics: Mathematical Modeling and Industrial Mathematics, Mathematical Methods in Physics, Mathematical and Computational Engineering, Calculus of Variations and Optimal Control; Optimization