Stable Approximate Evaluation of Unbounded Operators
Charles W. Groetsch (auth.)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.
年:
2007
出版:
1
出版社:
Springer-Verlag Berlin Heidelberg
语言:
english
页:
133
ISBN 10:
3540399437
ISBN 13:
9783540399438
系列:
Lecture Notes in Mathematics 1894
文件:
PDF, 2.20 MB
IPFS:
,
english, 2007
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