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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ramm, A. G. (Alexander G.)
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

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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 
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856 4 0 |u https://sciencedirect.uam.elogim.com/science/bookseries/00765392/208  |z Texto completo