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 genere / forma | Electronic books. |
ISBN |
1-283-16637-2
9786613166371 3-11-025065-9 |
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-9910457160203321 |
Bakushinskiĭ A. B (Anatoliĭ Borisovich)
![]() |
||
Berlin ; ; New York, : De Gruyter, c2011 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
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 | ||
![]() | ||
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 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|