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Record Nr. |
UNINA9910781355703321 |
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Autore |
Bakushinskiĭ A. B (Anatoliĭ Borisovich) |
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Titolo |
Iterative methods for ill-posed problems [[electronic resource] ] : an introduction / / Anatoly B. Bakushinsky, Mikhail Yu. Kokurin, Alexandra Smirnova |
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Pubbl/distr/stampa |
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Berlin ; ; New York, : De Gruyter, c2011 |
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ISBN |
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1-283-16637-2 |
9786613166371 |
3-11-025065-9 |
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Descrizione fisica |
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1 online resource (152 p.) |
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Collana |
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Inverse and ill-posed problems series, , 1381-4524 ; ; 54 |
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Classificazione |
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Altri autori (Persone) |
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KokurinM. I͡U (Mikhail I͡Urʹevich) |
SmirnovaA. B (Aleksandra Borisovna) |
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Disciplina |
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Soggetti |
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Differential equations, Partial - Improperly posed problems |
Iterative methods (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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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 |
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Sommario/riassunto |
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Ill-posed problems are encountered in countless areas of real world science and technology. A variety of processes in science and engineering is commonly modeled by algebraic, differential, integral and other equations. In a more difficult case, it can be systems of |
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