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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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Bibliographic Details
Main Authors: Ramm, A. G. Alexander G
Corporate Authors: Elsevier Science & Technology
Published: Elsevier,
Publisher Address: Amsterdam :
Publication Dates: 2007.
Literature type: eBook
Language: English
Edition: First edition.
Series: Mathematics in science and engineering, volume 208
Subjects:
Operator equations
Differentiable dynamical systems
MATHEMATICS > Functional Analysis
Dynamische systemen
Operatorenvergelijkingen
Electronic books
Online Access: http://www.sciencedirect.com/science/bookseries/00765392/208
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, especia
Carrier Form: 1 online resource (xiii, 289 pages).
Bibliography: Includes bibliographical references (pages 275-287) and index.
ISBN: 0080465560
9780080465562
Index Number: QA329
CLC: O177.6
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

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