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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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Engl, Heinz Werner:

Regularization of Inverse Problems (Mathematics and its Applications (closed)) (Mathematics and Its Applications, 375, Band 375) - Livro de bolso

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, … mais…

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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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Engl, Heinz Werner:

Regularization of Inverse Problems (Mathematics and its Applications (closed)) (Mathematics and Its Applications, 375, Band 375) - Livro de bolso

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, … mais…

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

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, … mais…

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Regularization of Inverse Problems - Engl, Heinz Werner; Neubauer, A.; Hanke, Martin
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Engl, Heinz Werner; Neubauer, A.; Hanke, Martin:
Regularization of Inverse Problems - Livro de bolso

2000, ISBN: 0792361407

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Regularization of Inverse Problems - Heinz Werner Engl/ Martin Hanke/ A. Neubauer
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Heinz Werner Engl/ Martin Hanke/ A. Neubauer:
Regularization of Inverse Problems - Livro de bolso

2000, ISBN: 9780792361404

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Regularization of Inverse Problems (Mathematics and its Applications (closed)) (Mathematics and Its Applications, 375, Band 375)
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Número ISBN:

9780792361404


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.

Dados detalhados do livro - Regularization of Inverse Problems (Mathematics and its Applications (closed)) (Mathematics and Its Applications, 375, Band 375)


EAN (ISBN-13): 9780792361404
ISBN (ISBN-10): 0792361407
Livro de capa dura
Livro de bolso
Ano de publicação: 2007
Editor/Editora: Springer
332 Páginas
Peso: 0,499 kg
Língua: eng/Englisch

Livro na base de dados desde 2007-05-14T10:35:45-03:00 (Sao Paulo)
Página de detalhes modificada pela última vez em 2024-03-13T16:59:34-03:00 (Sao Paulo)
Número ISBN/EAN: 9780792361404

Número ISBN - Ortografia alternativa:
0-7923-6140-7, 978-0-7923-6140-4
Ortografia alternativa e termos de pesquisa relacionados:
Autor do livro: engl, neubauer, andreas heinz, martin werner, hanke, marti werner, gunther martin, werner may, günther martin, heinz märtin, hadamard
Título do livro: regularization inverse problems, mathematics, problem, 375, heinz werner

Dados da editora

Autor: Heinz Werner Engl; Martin Hanke; A. Neubauer
Título: Mathematics and Its Applications; Regularization of Inverse Problems
Editora: Springer; Springer Netherland
322 Páginas
Ano de publicação: 2000-03-31
Dordrecht; NL
Língua: Inglês
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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