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Stable Approximate Evaluation of Unbounded Operators

Charles W. Groetsch
Spectral theory of bounded linear operators teams up with von Neumann¿s theory of unbounded operators in this monograph to provide a general framework for the study of stable methods for the evaluation of unbounded operators. An introductory chapter provides numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. Before the general theory of stabilization methods is developed, an extensive exposition of the necessary background material from the theory of operators on Hilbert space is provided. Several specific stabilization methods are studied in detail, with particular attention to the Tikhonov-Morozov method and its iterated version.
Autor: Groetsch, Charles W.
EAN: 9783540399421
Auflage: 2007
Sprache: Englisch
Seitenzahl: 144
Produktart: kartoniert, broschiert
Verlag: Springer Berlin Springer Berlin Heidelberg
Veröffentlichungsdatum: 27.10.2006
Schlagworte: Approximation - Differenzenapproximation Näherungsrechnung Rechnen / Näherungsrechnung Analysis / Funktionalanalysis Funktionalanalysis
Größe: 9 × 155 × 235
Gewicht: 230 g