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 linea...

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Bibliografische gegevens
Hoofdauteur: Groetsch, Charles W., 1945-...., mathématicien
Formaat: Livre numérique
Taal:Anglais
Gepubliceerd in: Berlin, Heidelberg : Springer Berlin Heidelberg 2007.
Cham : Springer Nature
Reeks:Lecture Notes in Mathematics 1894
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Edition sous un autre format:• Stable Approximate Evaluation of Unbounded Operators, Texte imprimé, 9783540828952
• Stable Approximate Evaluation of Unbounded Operators, Texte imprimé, 9783540399421
Omschrijving
Samenvatting: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.
Beschrijving item:Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
ISBN:9783540399438
ISSN:1617-9692
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