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Stable Approximate Evaluation of Unbounded Operators

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Groetsch, Charles W. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2007.
Edition:1st ed. 2007.
Series:Lecture Notes in Mathematics, 1894
Subjects:
Online Access:Texto Completo
Description
Summary: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.
Physical Description:X, 133 p. online resource.
ISBN:9783540399438
ISSN:1617-9692 ;