Nonlinear Least Squares for Inverse Problems: Theoretical Foundations and Step-By-Step Guide for Applications

Language: English

Published by SPRINGER NATURE Okt 2009, 2009

904812784X / 9789048127849

Series: Book 8 of 36 - Scientific Computation

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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.

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This item is printed on demand - it takes 3-4 days longer - Neuware -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 ensures that a global minimizer of the least squares function can actually be found using e cient local optimization algorithms, and wellposedness that this minimizer is stable with respect to perturbation of the data. But the vast majority of inverse problems are nonlinear, and the clas- cal mathematical tools available for their analysis fail to bring answers to these crucial questions: for example, compactness will ensure existence, but provides no uniqueness results, and brings no information on the presence or absenceofparasiticlocalminimaorstationarypoints. 360 pp. Englisch.…

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Title
Nonlinear Least Squares for Inverse Problems: Theoretical Foundations and Step-By-Step Guide for Applications
Author
Guy Chavent
Publisher
SPRINGER NATURE Okt 2009
Publication year
2009
Condition
Neu
Binding
Buch
Language
English
ISBN 10
904812784X
ISBN 13
9789048127849
Item weight
689 grams
Dimensions
242x164x33 mm
Series
Book 8 of 36: Scientific Computation

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germany

5-star seller

AbeBooks seller since January 11, 2012

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