| Edition |
1st ed. |
| Description |
1 online resource (xiii, 289 pages) |
|
text txt rdacontent |
|
computer c rdamedia |
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online resource cr rdacarrier |
| Series |
Mathematics in science and engineering, 0076-5392 ; v. 208 |
|
Mathematics in science and engineering ; v. 208. 0076-5392
|
| Summary |
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). |
| Bibliography |
Includes bibliographical references (pages 275-287) and index. |
| Contents |
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. |
| Note |
Print version record. |
| Subject |
Operator equations.
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Differentiable dynamical systems.
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Équations à opérateurs.
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Dynamique différentiable.
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MATHEMATICS -- Functional Analysis.
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Differentiable dynamical systems
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Operator equations
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Dynamische systemen.
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Operatorenvergelijkingen.
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| Other Form: |
Print version: Ramm, A.G. (Alexander G.). Dynamical systems method for solving operator equations. 1st ed. Amsterdam ; Boston : Elsevier, 2007 0444527958 9780444527950 (DLC) 2006050750 (OCoLC)71210345 |
| ISBN |
0080465560 (electronic bk.) |
|
9780080465562 (electronic bk.) |
|
9780444527950 |
|
0444527958 |
| Standard No. |
AU@ 000048130316 |
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CHNEW 001006668 |
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DEBBG BV036962197 |
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DEBBG BV042317178 |
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DEBSZ 276098102 |
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DEBSZ 482356103 |
|
NZ1 11778552 |
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NZ1 15192407 |
|
