Ill-posed problems with a priori information
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Bibliographic Information
Ill-posed problems with a priori information
（Inverse and ill-posed problems series）
VSP, 1995
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Includes bibliographical references
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 Unstable problems: base formulations of problems
- ill-posed problems examples and its stability analysis
- the classification of methods for unstable problems with a priori information. Part 2 Iterative methods for approximation of fixed points and their application to ill-posed problems: basic classes of mappings
- convergence theorems for iterative processes
- iterations with correcting multipliers
- applications to problems of mathematical programming
- regularizing properties of iterations
- iterative processes with averaging
- iterative regularization of variation inequalities and of operator equations with monotone operators
- iterative regularization of operator equations in the partially-ordered spaces
- iterative schemes based on the Gauss-Newton method. Part 3 Regularization methods for symmetric spectral problems: L-basis of linear operator kernel
- analogies of Tikhonov's and Lavent'ev's methods
- the variational residual method and the quasisolutions method
- regularization of generalized spectral problem. Part 4 The finite-moment problem and systems of operators equations: statement of the problem and convergence of finite-dimensional approximations
- iterative methods on the basis of projections
- the Fejer processes with correcting multipliers
- FMP regularization in Hilbert spaces with reproducing kernels
- iterative approximation of solution of linear operator equation system. Part 5 Discrete approximation of regularizing algorithms: discrete convergence of elements and operators
- convergence of discrete approximations for Tikhonov's regularizing algorithm
- applications to integral and operator equations
- interpolation of discrete approximate solutions by splines
- discrete approximation of reconstuction of linear operator kernel basis
- finite-dimensional approximation of regularized algorithms on discontinuous functions classes. Part 6 Numerical applications: iterative algorithms for solving gravimetry problem
- computing schemes for finite-moment problem
- methods for experiment data processing in structure investigations of amorphous alloys. Appendix: correction parameters methods for solving integral equations of the first kind.
by "Nielsen BookData"