Stable Approximate Evaluation of Unbounded Operators

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 linea...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Groetsch, Charles W. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
Σειρά:Lecture Notes in Mathematics, 1894
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 02429nam a22004695i 4500
001 978-3-540-39943-8
003 DE-He213
005 20140614182336.0
007 cr nn 008mamaa
008 100301s2007 gw | s |||| 0|eng d
020 |a 9783540399438  |9 978-3-540-39943-8 
024 7 |a 10.1007/3-540-39942-9  |2 doi 
040 |d GrThAP 
050 4 |a QA329-329.9 
072 7 |a PBKF  |2 bicssc 
072 7 |a MAT037000  |2 bisacsh 
082 0 4 |a 515.724  |2 23 
100 1 |a Groetsch, Charles W.  |e author. 
245 1 0 |a Stable Approximate Evaluation of Unbounded Operators  |h [electronic resource] /  |c by Charles W. Groetsch. 
264 1 |a Berlin, Heidelberg :  |b Springer Berlin Heidelberg,  |c 2007. 
300 |a X, 133 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1894 
505 0 |a Some Problems Leading to Unbounded Operators -- Hilbert Space Background -- A General Approach to Stabilization -- The Tikhonov-Morozov Method -- Finite-Dimensional Approximations. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Operator theory. 
650 0 |a Numerical analysis. 
650 1 4 |a Mathematics. 
650 2 4 |a Operator Theory. 
650 2 4 |a Numerical Analysis. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783540399421 
830 0 |a Lecture Notes in Mathematics,  |x 0075-8434 ;  |v 1894 
856 4 0 |u http://dx.doi.org/10.1007/3-540-39942-9  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
912 |a ZDB-2-LNM 
950 |a Mathematics and Statistics (Springer-11649)