Methods for solving operator equations
Author(s)
Bibliographic Information
Methods for solving operator equations
(Inverse and ill-posed problems series)
VSP, 1997
Available at 4 libraries
  Aomori
  Iwate
  Miyagi
  Akita
  Yamagata
  Fukushima
  Ibaraki
  Tochigi
  Gunma
  Saitama
  Chiba
  Tokyo
  Kanagawa
  Niigata
  Toyama
  Ishikawa
  Fukui
  Yamanashi
  Nagano
  Gifu
  Shizuoka
  Aichi
  Mie
  Shiga
  Kyoto
  Osaka
  Hyogo
  Nara
  Wakayama
  Tottori
  Shimane
  Okayama
  Hiroshima
  Yamaguchi
  Tokushima
  Kagawa
  Ehime
  Kochi
  Fukuoka
  Saga
  Nagasaki
  Kumamoto
  Oita
  Miyazaki
  Kagoshima
  Okinawa
  Korea
  China
  Thailand
  United Kingdom
  Germany
  Switzerland
  France
  Belgium
  Netherlands
  Sweden
  Norway
  United States of America
Note
Includes bibliographical references (p. 209-223)
Description and Table of Contents
Description
01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information.
Table of Contents
- Part 1 Regularization of linear operator equations: classification of ill-posed problems and the concept of the optimal method
- the estimate from below for Dopt
- the error of the regularization method
- the algorithmic peculiarities of the generalized residual principle
- the error of the quasi-solutions method
- the regularization method with the parameter a chosen by the residual
- the projection regularization method
- on the choice of the optimal regularization parameter
- optimal methods for solving unstable problems with additional information on the operator A
- on the regularization of operator equations of the first kind with the approximately given operator and on the choice of the regularization parameter
- the generalized reesidual principle
- the optimum of the generalized residual principle. Part 2 Finite-dimensional methods of constructing regularized solutions: the notion of t-uniform convergence of linear operators
- the general scheme of finite-dimensional approximation in the regularization method
- application of the general scheme to the projection and finite difference methods
- the general scheme of finite-dimensional approximation in the generalized residual method
- the iterative method for determining the finite-dimensional approximation in the generalized residual principle
- the general scheme of finite-dimensional approximations in the quasi-solution method
- the necessary and sufficient conditions for the convergence of finite-imenaional approximations in the regularized method
- on the discretization of the variational problems (1.11.5)
- finite-dimensional approximation of regularized solutions
- application. Part 3 Regulariztion of non-linear operator equations: approximate solution of non-linear operator equations with a disturbed operator by the regularization method
- approximate solution of implicit operator equations of the first kind by the regularization method
- optimal by the order method for solving non-linear unstable problems.
by "Nielsen BookData"