Stable Approximate Evaluation of Unbounded Operators
Language: English
Published by Springer, 2006
- Softcover
- Used
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- Title
- Stable Approximate Evaluation of Unbounded Operators
- Author
- Groetsch, Charles W.
- Publisher
- Springer
- Publication year
- 2006
- Condition
- As New
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3540399429
- ISBN 13
- 9783540399421
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.
"Synopsis" may belong to another edition of this title.
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.
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