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

• Autore: Groetsch Charles W
• Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2007
• Edizione: 1st ed. 2007.
• Descrizione fisica: 1 online resource (133 p.)
• Disciplina: 515.7246
• Soggetto topico: Operator theory; Numerical analysis; Operator Theory; Numerical Analysis
• Classificazione: 31.46; MAT 470f; SI 850
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (pages [121]-123) and index.
• Nota di contenuto: Some Problems Leading to Unbounded Operators -- Hilbert Space Background -- A General Approach to Stabilization -- The Tikhonov-Morozov Method -- Finite-Dimensional Approximations.
• Sommario/riassunto: 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.
• Titolo autorizzato: Stable approximate evaluation of unbounded operators
• ISBN: 1-280-70079-3; 9786610700790; 3-540-39943-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 996466664603316
• Lo trovi qui: Univ. di Salerno
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 1894