Dynamical systems method for solving operator equations /
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 sel...
Clasificación: | Libro Electrónico |
---|---|
Autor principal: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Amsterdam ; Boston :
Elsevier,
2007.
|
Edición: | 1st ed. |
Colección: | Mathematics in science and engineering ;
v. 208. |
Temas: | |
Acceso en línea: | Texto completo Texto completo Texto completo |
MARC
LEADER | 00000cam a2200000 a 4500 | ||
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001 | SCIDIR_ocn162587703 | ||
003 | OCoLC | ||
005 | 20231117015000.0 | ||
006 | m o d | ||
007 | cr cn||||||||| | ||
008 | 070806s2007 ne ob 001 0 eng d | ||
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019 | |a 441769006 |a 647626113 |a 779920577 |a 935262525 | ||
020 | |a 0080465560 |q (electronic bk.) | ||
020 | |a 9780080465562 |q (electronic bk.) | ||
020 | |z 9780444527950 | ||
020 | |z 0444527958 | ||
035 | |a (OCoLC)162587703 |z (OCoLC)441769006 |z (OCoLC)647626113 |z (OCoLC)779920577 |z (OCoLC)935262525 | ||
050 | 4 | |a QA329 |b .R36 2007eb | |
072 | 7 | |a MAT |x 037000 |2 bisacsh | |
082 | 0 | 4 | |a 515/.724 |2 22 |
100 | 1 | |a Ramm, A. G. |q (Alexander G.) | |
245 | 1 | 0 | |a Dynamical systems method for solving operator equations / |c Alexander G. Ramm. |
250 | |a 1st ed. | ||
260 | |a Amsterdam ; |a Boston : |b Elsevier, |c 2007. | ||
300 | |a 1 online resource (xiii, 289 pages) | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
490 | 1 | |a Mathematics in science and engineering, |x 0076-5392 ; |v v. 208 | |
520 | |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). | ||
504 | |a Includes bibliographical references (pages 275-287) and index. | ||
505 | 0 | |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. | |
588 | 0 | |a Print version record. | |
650 | 0 | |a Operator equations. | |
650 | 0 | |a Differentiable dynamical systems. | |
650 | 6 | |a �Equations �a op�erateurs. |0 (CaQQLa)201-0041356 | |
650 | 6 | |a Dynamique diff�erentiable. |0 (CaQQLa)201-0040977 | |
650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
650 | 7 | |a Differentiable dynamical systems |2 fast |0 (OCoLC)fst00893426 | |
650 | 7 | |a Operator equations |2 fast |0 (OCoLC)fst01046410 | |
650 | 1 | 7 | |a Dynamische systemen. |2 gtt |
650 | 1 | 7 | |a Operatorenvergelijkingen. |2 gtt |
776 | 0 | 8 | |i Print version: |a Ramm, A.G. (Alexander G.). |t Dynamical systems method for solving operator equations. |b 1st ed. |d Amsterdam ; Boston : Elsevier, 2007 |z 0444527958 |z 9780444527950 |w (DLC) 2006050750 |w (OCoLC)71210345 |
830 | 0 | |a Mathematics in science and engineering ; |v v. 208. |x 0076-5392 | |
856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444527950 |z Texto completo |
856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/publication?issn=00765392&volume=208 |z Texto completo |
856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/208 |z Texto completo |