T�tulo: Stable Approximate Evaluation of Unbounded Operators (Lecture Notes in Mathematics, 1894)
Editor: Springer
Fecha de publicaci�n: 2006
Idioma: Ingl�s
ISBN 10: 3540399429
ISBN 13: 9783540399421
Encuadernaci�n: Encuadernaci�n de tapa blanda
Estado: New

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Sinopsis

This book teams up the spectral theory of bounded linear operators with von Neumann's theory of unbounded operators to provide a framework for the study of stable methods for the evaluation of unbounded operators. The text presents numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. It also offers an extensive exposition of background material from the theory of operators on Hilbert space.

De la contraportada

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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