Groetsch, Charles W.
Stable approximate evaluation of unbounded operators [Documento eletrónico] / Charles W. Groetsch. - Berlin, Heidelberg : Springer , 2007 . - X, 133 p.. - (Lecture Notes in Mathematics) . 1894 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.
Clicar aqui para aceder a um recurso externo
ISBN 978-3-540-39943-8
Operadores lineares
Teoria dos operadores
Problemas inversos (Equações diferenciais)
Teoria da aproximação
LCC QA329.2
Stable approximate evaluation of unbounded operators [Documento eletrónico] / Charles W. Groetsch. - Berlin, Heidelberg : Springer , 2007 . - X, 133 p.. - (Lecture Notes in Mathematics) . 1894 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.
Clicar aqui para aceder a um recurso externo
ISBN 978-3-540-39943-8
Operadores lineares
Teoria dos operadores
Problemas inversos (Equações diferenciais)
Teoria da aproximação
LCC QA329.2
