Nonlinear least squares for inverse problems : theoretical foundations and step-by-step guide for applications /

Nonlinear least squares for inverse problems : theoretical foundations and step-by-step guide for applications /

Saved in:
Bibliographic Details
Author / Creator:Chavent, Guy, 1943-
Imprint:Dordrecht : Springer Verlag, c2009.
Description:1 online resource (xiv, 360 p.) : ill.
Language:English
Series:Scientific computation, 1434-8322
Scientific computation.
Subject:
Least squares.
Nonlinear theories.
Least squares.
Nonlinear theories.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/8895701
Hidden Bibliographic Details
ISBN:9789048127856
9048127858 (eISBN)
9789048127856 (eISBN)
9789048127849
904812784X
Notes:Includes bibliographical references (p. 345-352) and index.
Description based on print version record.
Summary:Presents an introduction into the least squares resolution of nonlinear inverse problems. This title intends to develop a geometrical theory to analyze nonlinear least square (NLS) problems with respect to their quadratic wellposedness, that is, both wellposedness and optimizability.
Other form:Print version: Chavent, Guy, 1943- Nonlinear least squares for inverse problems. Dordrecht : Springer Verlag, c2009 9789048127849
Table of Contents:
  • Nonlinear Least Squares for Inverse Problems; Preface; I Nonlinear Least Squares; Nonlinear Inverse Problems: Examples and Difficulties; Computing Derivatives; Choosing a Parameterization; Output Least Squares Identifiability and QuadraticallyWellposed NLS Problems; Regularization of Nonlinear Least Squares Problems; II A Generalization of Convex Sets; Quasi-Convex Sets; Strictly Quasi-Convex Sets; Deflection Conditions for the Strict Quasi-convexityof Sets; Bibliography; Index.

Similar Items