Stable approximate evaluation of unbounded operators /
Groetsch, C. W.
Stable approximate evaluation of unbounded operators / Charles W. Groetsch. - Berlin ; New York : Springer, ©2007. - 1 online resource (x, 127 pages) - Lecture notes in mathematics, 1894 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 1894. .
Includes bibliographical references (pages 121-123) and index.
Some problems leading to unbounded operators -- Hilbert space background -- A general approach to stabilization -- The Tikhonov-Morozov method -- Finite-dimensional approximations.
University staff and students only. Requires University Computer Account login off-campus.
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.
English.
9783540399438 3540399437 3540399429 9783540399421 6610700796 9786610700790 1280700793 9781280700798
10.1007/3-540-39942-9. doi
978-3-540-39942-1 Springer http://www.springerlink.com
GBA699784 bnb
DE-101 GyFmDB
Linear operators.
Inverse problems (Differential equations)
Operator theory.
Approximation theory.
Mathematics.
Opérateurs linéaires.
Problèmes inverses (Équations différentielles)
Théorie des opérateurs.
Théorie de l'approximation.
Mathématiques.
mathematics.
applied mathematics.
MATHEMATICS--Functional Analysis.
Operadores lineales
Teoría de operadores
Aproximación, Teoría de
Approximation theory
Inverse problems (Differential equations)
Linear operators
Operator theory
Unbeschränkter Operator
Approximation
Inverses Problem
Operatortheorie.
Numerieke methoden.
Opérateurs linéaires.
Problèmes inversés (Équations différentielles)
Opérateurs, Théorie des.
Approximation, Théorie de l'
QA329 / .G76 2007eb
515/.7246
Stable approximate evaluation of unbounded operators / Charles W. Groetsch. - Berlin ; New York : Springer, ©2007. - 1 online resource (x, 127 pages) - Lecture notes in mathematics, 1894 0075-8434 ; . - Lecture notes in mathematics (Springer-Verlag) ; 1894. .
Includes bibliographical references (pages 121-123) and index.
Some problems leading to unbounded operators -- Hilbert space background -- A general approach to stabilization -- The Tikhonov-Morozov method -- Finite-dimensional approximations.
University staff and students only. Requires University Computer Account login off-campus.
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.
English.
9783540399438 3540399437 3540399429 9783540399421 6610700796 9786610700790 1280700793 9781280700798
10.1007/3-540-39942-9. doi
978-3-540-39942-1 Springer http://www.springerlink.com
GBA699784 bnb
DE-101 GyFmDB
Linear operators.
Inverse problems (Differential equations)
Operator theory.
Approximation theory.
Mathematics.
Opérateurs linéaires.
Problèmes inverses (Équations différentielles)
Théorie des opérateurs.
Théorie de l'approximation.
Mathématiques.
mathematics.
applied mathematics.
MATHEMATICS--Functional Analysis.
Operadores lineales
Teoría de operadores
Aproximación, Teoría de
Approximation theory
Inverse problems (Differential equations)
Linear operators
Operator theory
Unbeschränkter Operator
Approximation
Inverses Problem
Operatortheorie.
Numerieke methoden.
Opérateurs linéaires.
Problèmes inversés (Équations différentielles)
Opérateurs, Théorie des.
Approximation, Théorie de l'
QA329 / .G76 2007eb
515/.7246