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| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310153040.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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100715s2010 ne | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
|---|
| International Standard Book Number |
9789048127856 |
|
978-90-481-2785-6 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
|---|
| Classification number |
TA342-343 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
|---|
| Classification number |
003.3 |
| Edition number |
23 |
| 264 #1 - |
|---|
| -- |
Dordrecht : |
| -- |
Springer Netherlands, |
| -- |
2010. |
| 912 ## - |
|---|
| -- |
ZDB-2-PHA |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
|---|
| Personal name |
Chavent, Guy. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Nonlinear Least Squares for Inverse Problems |
| Medium |
[electronic resource] : |
| Remainder of title |
Theoretical Foundations and Step-by-Step Guide for Applications / |
| Statement of responsibility, etc |
by Guy Chavent. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
XIV, 360p. |
| Other physical details |
online resource. |
| 440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
|---|
| Title |
Scientific Computation, |
| International Standard Serial Number |
1434-8322 |
| 505 0# - FORMATTED CONTENTS NOTE |
|---|
| Formatted contents note |
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. |
| 520 ## - SUMMARY, ETC. |
|---|
| Summary, etc |
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. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Mathematical physics. |
|
|---|
| Topical term or geographic name as entry element |
Engineering mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Mathematical Modeling and Industrial Mathematics. |
|
|---|
| Topical term or geographic name as entry element |
Mathematical Methods in Physics. |
|
|---|
| Topical term or geographic name as entry element |
Appl.Mathematics/Computational Methods of Engineering. |
|
|---|
| Topical term or geographic name as entry element |
Calculus of Variations and Optimal Control, Optimization. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
|---|
| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
|---|
| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9789048127849 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-90-481-2785-6 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
|---|
| Source of classification or shelving scheme |
|
| Item type |
E-Book |
