عنوان

Numerical regularization for atmospheric inverse problem

(Number (ISBN

9783642054396

Country Code

IR

Number

E-5015

.Language of Text, Soundtrack etc

انگلیسی

Country of publication

IR

Title Proper

Numerical regularization for atmospheric inverse problem

General Material Designation

[Book]

First Statement of Responsibility

/ by Adrian Doicu, Thomas Trautmann, Franz Schreier

Place of Publication, Distribution, etc.

Berlin ;London

Name of Publisher, Distributor, etc.

: Springer,

Date of Publication, Distribution, etc.

, 2010.

Specific Material Designation and Extent of Item

1 online resource.

Series Title

(Springer Praxis Books.)

Text of Note

Print

Text of Note

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

Text of Note

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.

Text of Note

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 --

Title

Springer Praxis Books

Atmosphere, Remote sensing

Atmosphere, Mathematical models

Inverse problems (Differential equations)

Electronic books

Mathematics

Number

Class number

Book number

Doicu, Adrian.

Trautmann, Thomas

Schreier, Franz

Country

ایران

old catalog

p

BL

1

a

Y