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Regularization of Inverse Problems (Mathematics and its Applications (closed)) (Mathematics and Its Applications, 375, Band 375) - Engl, Heinz  Werner
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Regularization of Inverse Problems (Mathematics and its Applications (closed)) (Mathematics and Its Applications, 375, Band 375) - Livres de poche

2000, ISBN: 9780792361404

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Regularization of Inverse Problems (Mathematics and its Applications (closed)) (Mathematics and Its Applications, 375, Band 375) - Engl, Heinz  Werner
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Regularization of Inverse Problems (Mathematics and its Applications (closed)) (Mathematics and Its Applications, 375, Band 375) - Livres de poche

2000, ISBN: 9780792361404

Springer, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 2000, 332 Seiten, Publiziert: 2000-03-31T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 9780792361404, 1.03 kg, … Plus…

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Regularization of Inverse Problems (Mathematics and its Applications (closed)) (Mathematics and Its Applications, 375, Band 375) - Engl, Heinz  Werner
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Regularization of Inverse Problems (Mathematics and its Applications (closed)) (Mathematics and Its Applications, 375, Band 375) - Livres de poche

2000

ISBN: 9780792361404

Springer, Taschenbuch, Auflage: Softcover reprint of the original 1st ed. 2000, 332 Seiten, Publiziert: 2000-03-31T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 9780792361404, 1.03 kg, … Plus…

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Regularization of Inverse Problems - Engl, Heinz Werner; Neubauer, A.; Hanke, Martin
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Regularization of Inverse Problems - Livres de poche

2000, ISBN: 0792361407

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Regularization of Inverse Problems - Livres de poche

2000, ISBN: 9780792361404

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Détails du titre de la musique
Regularization of Inverse Problems (Mathematics and its Applications (closed)) (Mathematics and Its Applications, 375, Band 375)

This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and nonlinear ill-posed problems. Both continuous and iterative regularization methods are considered in detail with special emphasis on the development of parameter choice and stopping rules which lead to optimal convergence rates.

Informations détaillées sur le CD - Regularization of Inverse Problems (Mathematics and its Applications (closed)) (Mathematics and Its Applications, 375, Band 375)


EAN (ISBN-13): 9780792361404
ISBN (ISBN-10): 0792361407
Version reliée
Livre de poche
Date de parution: 2007
Editeur: Springer
332 Pages
Poids: 0,499 kg
Langue: eng/Englisch

CD dans la base de données depuis2007-05-14T15:35:45+02:00 (Paris)
Page de détail modifiée en dernier sur 2024-03-13T20:59:34+01:00 (Paris)
EAN: 0792361407

EAN - Autres types d'écriture:
0-7923-6140-7, 978-0-7923-6140-4
Autres types d'écriture et termes associés:
Auteur du CD: engl, neubauer, andreas heinz, martin werner, hanke, marti werner, gunther martin, werner may, günther martin, heinz märtin, hadamard
Titre du CD: regularization inverse problems, mathematics, problem, 375, heinz werner


Données de l'éditeur

Auteur: Heinz Werner Engl; Martin Hanke; A. Neubauer
Titre: Mathematics and Its Applications; Regularization of Inverse Problems
Editeur: Springer; Springer Netherland
322 Pages
Date de parution: 2000-03-31
Dordrecht; NL
Langue: Anglais
171,19 € (DE)
175,99 € (AT)
189,00 CHF (CH)
Available
VIII, 322 p.

BC; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Numerische Mathematik; Verstehen; CON_9016; partial differential equations; Computational Mathematics and Numerical Analysis; Integral Equations; Differential Equations; Physical Chemistry; Characterization and Analytical Technique; Integralrechnung und -gleichungen; Differentialrechnung und -gleichungen; Physikalische Chemie; Werkstoffprüfung; BB; EA

1. Introduction: Examples of Inverse Problems.- 1.1. Differentiation as an Inverse Problem.- 1.2. Radon Inversion (X-Ray Tomography).- 1.3. Examples of Inverse Problems in Physics.- 1.4. Inverse Problems in Signal and Image Processing.- 1.5. Inverse Problems in Heat Conduction.- 1.6. Parameter Identification.- 1.7. Inverse Scattering.- 2. Ill-Posed Linear Operator Equations.- 2.1. The Moore-Penrose Generalized Inverse.- 2.2. Compact Linear Operators: Singular Value Expansion.- 2.3. Spectral Theory and Functional Calculus.- 3. Regularization Operators.- 3.1. Definition and Basic Results.- 3.2. Order Optimality.- 3.3. Regularization by Projection.- 4. Continuous Regularization Methods.- 4.1. A-priori Parameter Choice Rules.- 4.2. Saturation and Converse Results.- 4.3. The Discrepancy Principle.- 4.4. Improved A-posteriori Rules.- 4.5. Heuristic Parameter Choice Rules.- 4.6. Mollifier Methods.- 5. Tikhonov Regularization.- 5.1. The Classical Theory.- 5.2. Regularization with Projection.- 5.3. Maximum Entropy Regularization.- 5.4. Convex Constraints.- 6. Iterative Regularization Methods.- 6.1. Landweber Iteration.- 6.2. Accelerated Landweber Methods.- 6.3. The ?-Methods.- 7. The Conjugate Gradient Method.- 7.1. Basic Properties.- 7.2. Stability and Convergence.- 7.3. The Discrepancy Principle.- 7.4. The Number of Iterations.- 8. Regularization With Differential Operators.- 8.1. Weighted Generalized Inverses.- 8.2. Regularization with Seminorms.- 8.3. Examples.- 8.4. Hilbert Scales.- 8.5. Regularization in Hilbert Scales.- 9. Numerical Realization.- 9.1. Derivation of the Discrete Problem.- 9.2. Reduction to Standard Form.- 9.3. Implementation of Tikhonov Regularization.- 9.4. Updating the Regularization Parameter.- 9.5. Implementation of Iterative Methods.- 10. TikhonovRegularization of Nonlinear Problems.- 10.1. Introduction.- 10.2. Convergence Analysis.- 10.3. A-posteriori Parameter Choice Rules.- 10.4. Regularization in Hilbert Scales.- 10.5. Applications.- 10.6. Convergence of Maximum Entropy Regularization.- 11. Iterative Methods for Nonlinear Problems.- 11.1. The Nonlinear Landweber Iteration.- 11.2. Newton Type Methods.- A. Appendix.- A.1. Weighted Polynomial Minimization Problems.- A.2. Orthogonal Polynomials.- A.3. Christoffel Functions.

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