Format:
Online-Ressource (X, 127 p, digital)
ISBN:
9783540399438
Series Statement:
SpringerLink
Content:
Some Problems Leading to Unbounded Operators -- Hilbert Space Background -- A General Approach to Stabilization -- The Tikhonov-Morozov Method -- Finite-Dimensional Approximations.
Content:
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.
Note:
Includes bibliographical references and index
Additional Edition:
ISBN 9783540399421
Additional Edition:
Buchausg. u.d.T. Groetsch, Charles W., 1945 - Stable approximate evaluation of unbounded operators Berlin : Springer, 2007 ISBN 9783540399421
Additional Edition:
ISBN 3540399429
Language:
English
Subjects:
Mathematics
Keywords:
Inverses Problem
;
Unbeschränkter Operator
;
Approximation
;
Inverses Problem
;
Unbeschränkter Operator
;
Approximation
DOI:
10.1007/3-540-39942-9
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(lizenzpflichtig)
