Franklin

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

Author/Creator:
Groetsch, Charles W. author., Author,
Publication:
Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
Series:
Lecture Notes in Mathematics, 0075-8434 ; 1894
Lecture Notes in Mathematics, 0075-8434 ; 1894
Format/Description:
Book
1 online resource (X, 133 pages)
Subjects:
Operator theory.
Numerical analysis.
Local subjects:
Operator Theory.
Numerical Analysis.
System Details:
text file PDF
Summary:
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.
Contents:
Some Problems Leading to Unbounded Operators
Hilbert Space Background
A General Approach to Stabilization
The Tikhonov-Morozov Method
Finite-Dimensional Approximations.
Contributor:
SpringerLink (Online service)
Contained In:
Springer eBooks
Other format:
Printed edition:
Printed edition:
ISBN:
9783540399438
Publisher Number:
10.1007/3-540-39942-9 doi
Access Restriction:
Restricted for use by site license.
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