Description:
This book provides a step-by-step introduction to the least squares resolution of nonlinear inverse problems. For readers interested in projection of non-convex sets, it also presents the geometric theory of quasi-convex and strictly quasi-convex sets.
Review Quotes:
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)