1.

Record Nr.

UNINA9910454354003321

Autore

Kaltenbacher Barbara

Titolo

Iterative regularization methods for nonlinear iII-posed problems [[electronic resource] /] / Barbara Kaltenbacher, Andreas Neubauer, Otmar Scherzer

Pubbl/distr/stampa

Berlin ; ; New York, : Walter de Gruyter, c2008

ISBN

1-282-19699-5

9786612196997

3-11-020827-X

Descrizione fisica

1 online resource (204 p.)

Collana

Radon series on computational and applied mathematics ; ; 6

Altri autori (Persone)

NeubauerAndreas

ScherzerOtmar <1964->

Disciplina

515.7

620.402/2

Soggetti

Differential equations, Partial - Improperly posed problems

Iterative methods (Mathematics)

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Frontmatter -- Contents -- 1 Introduction -- 2 Nonlinear Landweber iteration -- 3 Modified Landweber methods -- 4 Newton type methods -- 5 Multilevel methods -- 6 Level set methods -- 7 Applications -- 8 Comments -- Backmatter

Sommario/riassunto

Nonlinear inverse problems appear in many applications, and typically they lead to mathematical models that are ill-posed, i.e., they are unstable under data perturbations. Those problems require a regularization, i.e., a special numerical treatment. This book presents regularization schemes which are based on iteration methods, e.g., nonlinear Landweber iteration, level set methods, multilevel methods and Newton type methods.