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

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 1894Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007Description: X, 133 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540399438
Subject(s): Additional physical formats: Printed edition:: No titleDDC classification:
  • 515.724 23
LOC classification:
  • QA329-329.9
Online resources:
Contents:
Some Problems Leading to Unbounded Operators -- Hilbert Space Background -- A General Approach to Stabilization -- The Tikhonov-Morozov Method -- Finite-Dimensional Approximations.
In: Springer eBooksSummary: 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.
Item type: E-BOOKS
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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 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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