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) | ||
Berlin ; ; New York, : De Gruyter, c2011 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Iterative methods for ill-posed problems : an introduction / / Anatoly B. Bakushinsky, Mikhail Yu. Kokurin, Alexandra Smirnova |
Autore | Bakushinskiĭ A. B (Anatoliĭ Borisovich) |
Edizione | [1st ed.] |
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-9910813312003321 |
Bakushinskiĭ A. B (Anatoliĭ Borisovich) | ||
Berlin ; ; New York, : De Gruyter, c2011 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
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 |
Lu Shuai <1976-> | ||
Berlin ; ; Boston : , : Walter de Gruyter, , [2013] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
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-9910823913803321 |
Lu Shuai <1976-> | ||
Berlin ; ; Boston : , : Walter de Gruyter, , [2013] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|