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Non Linear Least Squares for Inverse Problems
Guy Chavent
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Description for Non Linear Least Squares for Inverse Problems
Hardback. 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. Series: Scientific Computation. Num Pages: 374 pages, biography. BIC Classification: PBKQ; PBWH; PBWR. Category: (P) Professional & Vocational. Dimension: 241 x 158 x 28. Weight in Grams: 700.
The domain of inverse problems has experienced a rapid expansion, driven by the increase in computing power and the progress in numerical modeling. When I started working on this domain years ago, I became somehow fr- tratedtoseethatmyfriendsworkingonmodelingwhereproducingexistence, uniqueness, and stability results for the solution of their equations, but that I was most of the time limited, because of the nonlinearity of the problem, to provethatmyleastsquaresobjectivefunctionwasdi?erentiable....Butwith my experience growing, I became convinced that, after the inverse problem has been properly trimmed, the ?nal least squares problem, the one solved on the computer, should be Quadratically (Q)-wellposed,thatis,both we- posed and optimizable: optimizability ... Read more
The domain of inverse problems has experienced a rapid expansion, driven by the increase in computing power and the progress in numerical modeling. When I started working on this domain years ago, I became somehow fr- tratedtoseethatmyfriendsworkingonmodelingwhereproducingexistence, uniqueness, and stability results for the solution of their equations, but that I was most of the time limited, because of the nonlinearity of the problem, to provethatmyleastsquaresobjectivefunctionwasdi?erentiable....Butwith my experience growing, I became convinced that, after the inverse problem has been properly trimmed, the ?nal least squares problem, the one solved on the computer, should be Quadratically (Q)-wellposed,thatis,both we- posed and optimizable: optimizability ... Read more
Product Details
Format
Hardback
Publication date
2009
Publisher
Springer Netherlands
Number of pages
374
Condition
New
Series
Scientific Computation
Number of Pages
360
Place of Publication
Dordrecht, Netherlands
ISBN
9789048127849
SKU
V9789048127849
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Guy Chavent
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 ... Read more
Reviews for Non Linear Least Squares for Inverse Problems
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 ... Read more