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Stable Approximate Evaluation of Unbounded Operators / by Charles W. Groetsch.
Math/Physics/Astronomy Library QA3 .L28 v.1-999 470,523,830,849:2nd ed. v.1000-1722,1762,1781,1799-2099,2100-2192-2218 2219-2223-2258,2260-2271,2273-2274-2277,2279-2281,2283-2289,2291,2293-2294,2296,2298-2299,2300-2311,2313-2366,2368-2379,2381-2382 2385,2388-2389
Mixed Availability
LIBRA QA3 .L28 Scattered vols.
Mixed Availability
- Format:
- Book
- Author/Creator:
- Groetsch, Charles W., author.
- Series:
- Lecture Notes in Mathematics, 0075-8434 ; 1894.
- Lecture Notes in Mathematics, 0075-8434 ; 1894
- Language:
- English
- Subjects (All):
- Operator theory.
- Numerical analysis.
- Operator Theory.
- Numerical Analysis.
- Local Subjects:
- Operator Theory.
- Numerical Analysis.
- Physical Description:
- 1 online resource (X, 133 pages).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.
- System Details:
- text file PDF
- Summary:
- 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.
- Contents:
- Some Problems Leading to Unbounded Operators
- Hilbert Space Background
- A General Approach to Stabilization
- The Tikhonov-Morozov Method
- Finite-Dimensional Approximations.
- Other Format:
- Printed edition:
- ISBN:
- 9783540399438
- Access Restriction:
- Restricted for use by site license.
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