Stable Approximate Evaluation of Unbounded Operators (Lecture Notes in Mathematics, 1894) - Softcover

Groetsch, Charles W.

 
9783540399421: Stable Approximate Evaluation of Unbounded Operators (Lecture Notes in Mathematics, 1894)
Softcover
ISBN 10: 3540399429 ISBN 13: 9783540399421
Publisher: Springer, 2006

Synopsis

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.

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From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2006
Language
English
ISBN 10 
3540399429
ISBN 13 
9783540399421
Binding
Paperback
Number of pages
143