Dynamical Systems Method for Solving Nonlinear Operator Equations

Dynamical Systems Method for Solving Nonlinear Operator Equations

1st Edition - September 25, 2006

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  • Author: Alexander Ramm
  • eBook ISBN: 9780080465562

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Description

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.

Key Features

  • 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)

Readership

Mathematicians, numerical analysists, specialists in scientific computing, engineers and others interested in solving operator equations, ill-posed and inverse problems

Table of Contents

  • 1. Introduction
    2. Ill-posed problems
    3. DSM for well-posed problems
    4. DSM and linear ill-posed problems
    5. Some inequalities
    6. DSM for monotone operators
    7. DSM for general nonlinear operator equations
    8 DSM for operators satisfying a spectral assumption
    9. DSM in Banach spaces
    10. DSM and Newton-type methods without inversion of the derivative
    11. DSM and unbounded operators
    12. DSM and nonsmooth operators
    13. DSM as a theoretical tool
    14. DSM and iterative methods
    15. Numerical problems arising in applications
    16. Auxiliary results from analysis

Product details

  • No. of pages: 304
  • Language: English
  • Copyright: © Elsevier Science 2006
  • Published: September 25, 2006
  • Imprint: Elsevier Science
  • eBook ISBN: 9780080465562

About the Author

Alexander Ramm

Affiliations and Expertise

Kansas State University, Manhattan, KS, USA

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