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Iterative methods for ill-posed problems [[electronic resource] ] : an introduction / / Anatoly B. Bakushinsky, Mikhail Yu. Kokurin, Alexandra Smirnova
| Iterative methods for ill-posed problems [[electronic resource] ] : an introduction / / Anatoly B. Bakushinsky, Mikhail Yu. Kokurin, Alexandra Smirnova |
| Autore | Bakushinskiĭ A. B (Anatoliĭ Borisovich) |
| Pubbl/distr/stampa | Berlin ; ; New York, : De Gruyter, c2011 |
| Descrizione fisica | 1 online resource (152 p.) |
| Disciplina | 515/.353 |
| Altri autori (Persone) |
KokurinM. I͡U (Mikhail I͡Urʹevich)
SmirnovaA. B (Aleksandra Borisovna) |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Differential equations, Partial - Improperly posed problems
Iterative methods (Mathematics) |
| Soggetto non controllato |
Hilbert Space
Ill-posed Problem Inverse Problem Iterative Method Operator Equation |
| ISBN |
1-283-16637-2
9786613166371 3-11-025065-9 |
| Classificazione | 510 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- 1 The regularity condition. Newton's method -- 2 The Gauss-Newton method -- 3 The gradient method -- 4 Tikhonov's scheme -- 5 Tikhonov's scheme for linear equations -- 6 The gradient scheme for linear equations -- 7 Convergence rates for the approximation methods in the case of linear irregular equations -- 8 Equations with a convex discrepancy functional by Tikhonov's method -- 9 Iterative regularization principle -- 10 The iteratively regularized Gauss-Newton method -- 11 The stable gradient method for irregular nonlinear equations -- 12 Relative computational efficiency of iteratively regularized methods -- 13 Numerical investigation of two-dimensional inverse gravimetry problem -- 14 Iteratively regularized methods for inverse problem in optical tomography -- 15 Feigenbaum's universality equation -- 16 Conclusion -- References -- Index |
| Record Nr. | UNINA-9910781355703321 |
Bakushinskiĭ A. B (Anatoliĭ Borisovich)
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| Berlin ; ; New York, : De Gruyter, c2011 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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Regularization theory for ill-posed problems : selected topics / / by Shuai Lu, Sergei V. Pereverzev
| Regularization theory for ill-posed problems : selected topics / / by Shuai Lu, Sergei V. Pereverzev |
| Autore | Lu Shuai <1976-> |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : Walter de Gruyter, , [2013] |
| Descrizione fisica | 1 online resource (304 p.) |
| Disciplina | 518/.53 |
| Altri autori (Persone) | PereverzevSergei V |
| Collana | Inverse and ill-posed problems series |
| Soggetto topico |
Numerical analysis - Improperly posed problems
Numerical differentiation |
| Soggetto non controllato |
Balancing Principle
Blood Glucose Prediction Convergence Rate Discrepancy Principle Error Bound Estimation Ill-posed Problem Learning Theory, Meta-learning Multi-parameter Regularization Regularization Method |
| ISBN | 3-11-028649-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Front matter -- Preface -- Contents -- Chapter 1. An introduction using classical examples -- Chapter 2. Basics of single parameter regularization schemes -- Chapter 3. Multiparameter regularization -- Chapter 4. Regularization algorithms in learning theory -- Chapter 5. Meta-learning approach to regularization - case study: blood glucose prediction -- Bibliography -- Index |
| Record Nr. | UNINA-9910787646303321 |
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Lu Shuai <1976->
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| Berlin ; ; Boston : , : Walter de Gruyter, , [2013] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
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