Dynamical Systems Method for Solving Nonlinear Operator Equations 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.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Elsevier Science & Technology
Zielgruppe
Für Beruf und Forschung
Mathematicians, numerical analysists, specialists in scientific computing, engineers and others interested in solving operator equations, ill-posed and inverse problems.
Maße
Höhe: 229 mm
Breite: 152 mm
Gewicht
ISBN-13
978-0-444-52795-0 (9780444527950)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Autor*in
Kansas State University, Manhattan, KS, USA
1. Introduction2. Ill-posed problems3. DSM for well-posed problems4. DSM and linear ill-posed problems5. Some inequalities6. DSM for monotone operators7. DSM for general nonlinear operator equations8 DSM for operators satisfying a spectral assumption9. DSM in Banach spaces10. DSM and Newton-type methods without inversion of the derivative11. DSM and unbounded operators12. DSM and nonsmooth operators13. DSM as a theoretical tool14. DSM and iterative methods15. Numerical problems arising in applications16. Auxiliary results from analysis
