عنوان

Numerical regularization for atmospheric inverse problem

9783642054396

IR

E-5015

انگلیسی

IR

Numerical regularization for atmospheric inverse problem

[Book]

/ by Adrian Doicu, Thomas Trautmann, Franz Schreier

Berlin ;London

: Springer,

, 2010.

1 online resource.

(Springer Praxis Books.)

Print

Includes bibliographical references (p. [407]-422) and index.

Note continued:8.4.Regularized total least squares for nonlinear problems --9.1.Backus[-]Gilbert method --9.2.Maximum entropy regularization --A.1.Elements of functional analysis --A.2.Least squares solution and generalized inverse --A.3.Singular value expansion of a compact operator --A.4.Solvability and ill-posedness of the linear equation --B.1.Explicit transformations --B.2.Implicit transformations --C.1.Basic assumptions --C.2.Source condition --C.3.Error estimates --C.4.priori parameter choice method --C.5.Discrepancy principle --C.6.Generalized discrepancy principle --C.7.Error-free parameter choice methods --E.1.Linear regularization methods --E.2.Conjugate gradient method --E.2.1.CG-polynomials --E.2.2.Discrepancy principle --G.1.Error estimates --G.2.priori parameter choice method --G.3.Discrepancy principle --H.1.Newton-type methods with a priori information --H.1.1.Error estimates --H.1.2.priori stopping rule --H.1.3.Discrepancy principle --H.2.Newton-type methods without a priori information --J.1.Equality constraints --J.2.Inequality constraints.

Note continued:4.3.2.Discrepancy principle --4.3.3.Hierarchical models --4.3.4.Maximum likelihood estimation --4.3.5.Expectation minimization --4.3.6.general regularization parameter choice method --4.3.7.Noise variance estimators --4.4.Marginalizing method --5.1.Landweber iteration --5.2.Semi-iterative regularization methods --5.3.Conjugate gradient method --5.4.Stopping rules and preconditioning --5.4.1.Stopping rules --5.4.2.Preconditioning --5.5.Numerical analysis --5.6.Mathematical results and further reading --6.1.Four retrieval test problems --6.1.1.Forward models and degree of nonlinearity --6.1.2.Sensitivity analysis --6.1.3.Prewhitening --6.2.Optimization methods for the Tikhonov function --6.2.1.Step-length methods --6.2.2.Trust-region methods --6.2.3.Termination criteria --6.2.4.Software packages --6.3.Practical methods for computing the new iterate --6.4.Error characterization --6.4.1.Gauss[-]Newton method --6.4.2.Newton method --6.5.Regularization parameter choice methods --6.5.1.priori parameter choice methods --6.5.2.Selection criteria with variable regularization parameters --6.5.3.Selection criteria with constant regularization parameters --6.6.Iterated Tikhonov regularization --6.7.Constrained Tikhonov regularization --6.8.Mathematical results and further reading --7.1.Nonlinear Landweber iteration --7.2.Newton-type methods --7.2.1.Iteratively regularized Gauss[-]Newton method --7.2.2.Regularizing Levenberg[-]Marquardt method --7.2.3.Newton[-]CG method --7.3.Asymptotic regularization --7.4.Mathematical results and further reading --8.1.Formulation --8.2.Truncated total least squares --8.3.Regularized total least squares for linear problems --

Springer Praxis Books

Atmosphere, Remote sensing

Atmosphere, Mathematical models

Inverse problems (Differential equations)

Electronic books

Mathematics

Doicu, Adrian.

Trautmann, Thomas

Schreier, Franz

ایران

old catalog

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BL

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