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110501 ||| eng |
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|a 0080465560
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4 |
|a QA329
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| 100 |
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|a Ramm, A. G.
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|a Dynamical systems method for solving operator equations
|c Alexander G. Ramm
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| 250 |
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|a 1st ed
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| 260 |
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|a Amsterdam
|b Elsevier
|c 2007, 2007
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| 300 |
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|a xiii, 289 pages
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| 505 |
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|a Includes bibliographical references (pages 275-287) and index
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|a Chapter 1. Introduction -- Chapter 2. Ill-posed problems -- Chapter 3. DSM for well-posed problems -- Chapter 4. DSM and linear ill-posed problems -- Chapter 5. Some inequalities -- Chapter 6. DSM for monotone operators -- Chapter 7. DSM for general nonlinear operator equations -- Chapter 8. DSM for operators satisfying a spectral assumption -- Chapter 9. DSM in Banach spaces -- Chapter 10. DSM and Newton-type methods without inversion of the derivative -- Chapter 11. DSM and unbounded operators -- Chapter 12. DSM and nonsmooth operators -- Chapter 13. DSM as a theoretical tool -- Chapter 14. DSM and iterative methods -- Chapter 15. Numerical problems arising in applications -- Chapter 16. Auxiliary results from analysis
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| 653 |
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|a Dynamique différentiable
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| 653 |
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|a Differentiable dynamical systems / fast / (OCoLC)fst00893426
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| 653 |
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|a MATHEMATICS / Functional Analysis / bisacsh
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| 653 |
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|a Operator equations / http://id.loc.gov/authorities/subjects/sh85095023
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| 653 |
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|a Differentiable dynamical systems / http://id.loc.gov/authorities/subjects/sh85037882
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| 653 |
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|a Dynamische systemen / gtt
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| 653 |
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|a Operatorenvergelijkingen / gtt
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| 653 |
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|a Équations à opérateurs
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| 653 |
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|a Operator equations / fast / (OCoLC)fst01046410
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| 041 |
0 |
7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b ZDB-1-ELC
|a Elsevier eBook collection Mathematics
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| 490 |
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|a Mathematics in science and engineering
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| 776 |
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|z 0080465560
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| 776 |
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|z 0444527958
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| 776 |
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|z 9780444527950
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| 776 |
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|z 9780080465562
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| 856 |
4 |
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|u https://www.sciencedirect.com/science/bookseries/00765392/208
|x Verlag
|3 Volltext
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| 082 |
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|a 515/.724
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| 520 |
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|a The book is of interest to graduate students in functional analysis, numerical analysis, and ill-posed and inverse problems especially. The book presents a general method for solving operator equations, especially nonlinear and ill-posed. It requires a fairly modest background and is essentially self-contained. All the results are proved in the book, and some of the background material is also included. The results presented are mostly obtained by the author. Contains a systematic development of a novel general method, the dynamical systems method, DSM for solving operator equations, especially nonlinear and ill-posed. Self-contained, suitable for wide audience. Can be used for various courses for graduate students and partly for undergraduates (especially for RUE classes)
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