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Stable Approximate Evaluation of Unbounded Operators [electronic resource] / by Charles W. Groetsch.

Por: Tipo de material: TextoTextoSeries Lecture Notes in Mathematics ; 1894 | Lecture Notes in Mathematics ; 1894Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007Descripción: X, 133 p. online resourceTipo de contenido:
  • text
Tipo de medio:
  • computer
Tipo de soporte:
  • online resource
ISBN:
  • 9783540399438
Trabajos contenidos:
  • SpringerLink (Online service)
Tema(s): Formatos físicos adicionales: Sin títuloClasificación CDD:
  • 515.724 23
Clasificación LoC:
  • QA329-329.9
Recursos en línea:
Contenidos:
Springer eBooksResumen: Spectral theory of bounded linear operators teams up with von Neumanns 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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Some Problems Leading to Unbounded Operators -- Hilbert Space Background -- A General Approach to Stabilization -- The Tikhonov-Morozov Method -- Finite-Dimensional Approximations.

Spectral theory of bounded linear operators teams up with von Neumanns 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.

ZDB-2-SMA

ZDB-2-LNM

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