Ill-posed problems with a priori information

著者

• Vasin, V. V.
• Ageev, A. L.

書誌事項

Ill-posed problems with a priori information

V.V. Vasin and A.L. Ageev

（Inverse and ill-posed problems series）

VSP, 1995

注記

Includes bibliographical references

内容説明・目次

内容説明

01/07 This title is now available from Walter de Gruyter. Please see www.degruyter.com for more information.

目次

• 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.

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詳細情報

• NII書誌ID(NCID): BA25404557
• ISBN:
  • 906764191X
• 出版国コード: ne
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Utrecht
• ページ数/冊数: ix, 255 p.
• 大きさ: 25 cm
• 親書誌ID:
  • BA2420606X