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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) - edizione con copertina flessibile

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, … Altro …

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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) - edizione con copertina flessibile

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, … Altro …

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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) - edizione con copertina flessibile

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, … Altro …

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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 - edizione con copertina flessibile

2000, ISBN: 0792361407

Softcover reprint of the original 1st ed. 2000 Kartoniert / Broschiert Gleichung / Integralgleichung, Integralrechnung, Integration (mathematisch) / Integralrechnung, Physikalische Chem… Altro …

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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 - edizione con copertina flessibile

2000, ISBN: 9780792361404

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Dettagli del libro
Regularization of Inverse Problems (Mathematics and its Applications (closed)) (Mathematics and Its Applications, 375, Band 375)
Autore:
Titolo:
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.

Informazioni dettagliate del libro - Regularization of Inverse Problems (Mathematics and its Applications (closed)) (Mathematics and Its Applications, 375, Band 375)


EAN (ISBN-13): 9780792361404
ISBN (ISBN-10): 0792361407
Copertina rigida
Copertina flessibile
Anno di pubblicazione: 2007
Editore: Springer
332 Pagine
Peso: 0,499 kg
Lingua: eng/Englisch

Libro nella banca dati dal 2007-05-14T15:35:45+02:00 (Rome)
Pagina di dettaglio ultima modifica in 2024-03-13T20:59:34+01:00 (Rome)
ISBN/EAN: 9780792361404

ISBN - Stili di scrittura alternativi:
0-7923-6140-7, 978-0-7923-6140-4
Stili di scrittura alternativi e concetti di ricerca simili:
Autore del libro : engl, neubauer, andreas heinz, martin werner, hanke, marti werner, gunther martin, werner may, günther martin, heinz märtin, hadamard
Titolo del libro: regularization inverse problems, mathematics, problem, 375, heinz werner

Dati dell'editore

Autore: Heinz Werner Engl; Martin Hanke; A. Neubauer
Titolo: Mathematics and Its Applications; Regularization of Inverse Problems
Editore: Springer; Springer Netherland
322 Pagine
Anno di pubblicazione: 2000-03-31
Dordrecht; NL
Lingua: Inglese
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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