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...
Autor principal: | |
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Formato: | Libro electrónico |
Idioma: | Inglés |
Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
2007.
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Edición: | 1st ed. 2007. |
Colección: | Lecture Notes in Mathematics,
1894 |
Materias: | |
Ver en Biblioteca Universitat Ramon Llull: | https://discovery.url.edu/permalink/34CSUC_URL/1im36ta/alma991009461044706719 |
Sumario: | 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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Notas: | Description based upon print version of record. |
Descripción Física: | 1 online resource (133 p.) |
Bibliografía: | Includes bibliographical references (pages [121]-123) and index. |
ISBN: | 9781280700798 9786610700790 9783540399438 |