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Stable approximate evaluation of unbounded operators / Charles W. Groetsch.

By: Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1894.Publication details: Berlin ; New York : Springer, ©2007.Description: 1 online resource (x, 127 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540399438
  • 3540399437
  • 3540399429
  • 9783540399421
  • 6610700796
  • 9786610700790
  • 1280700793
  • 9781280700798
Subject(s): Additional physical formats: Print version:: Stable approximate evaluation of unbounded operators.DDC classification:
  • 515/.7246 22
LOC classification:
  • QA329 .G76 2007eb
Other classification:
  • 31.46
  • MAT 470f
  • SI 850
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: OhioLINK electronic book center In: SpringerLinkSummary: 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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library eBook LN Mathematic Available
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Includes bibliographical references (pages 121-123) and index.

Some problems leading to unbounded operators -- Hilbert space background -- A general approach to stabilization -- The Tikhonov-Morozov method -- Finite-dimensional approximations.

Print version record.

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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