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Home > Ill-Posed Problems in Natural Sciences: Proceedings of the International Conference Held in Moscow, August 19–25, 1991 > Regularization methods for ill-posed boundary problems
Ill-Posed Problems in Natural Sciences: Proceedings of the International Conference Held in Moscow, August 19–25, 1991 |
Andrei N. Tikhonov
De Gruyter
Ill-Posed Problems in Natural Sciences: Proceedings of the International Conference Held in Moscow, August 19–25, 1991
Regularization methods for ill-posed boundary problems
Authors

I. V. Mel’nikova

ARI Id

1666688987438_7368476

Access

Not Available Free

Pages

93

DOI

10.1515/9783112313930-015

Chapter URL

https://www.degruyter.com/document/doi/10.1515/9783112313930-015/html

Table of Contents of Book
Showing 1 to 20 of 69 entries
Chapters/HeadingsAuthor(s)PagesInfo
Frontmatter
I
CONTENTS
V
Preface
XI
Generalized maximum likelihood method and its application for solving ill-posed problems
V. Ya. Arsenin; A. V. Krianev
1
Iterative method for the solution of nonlinear ill-posed problems and their applications
A. B. Bakushinskii
13
Uniform regularization of first kind operator equations in Hilbert space
A. V. Cherepakhin
18
On the discretization error in regularized projection methods with parameter choice by discrepancy principle
U. Hämarik
24
Regularization find uniqueness of solutions of systems of Volterra nonlinear integral equations of the first kind with two arguments
M. I. Imanaliev; A. A. Asanov
29
Pointwise residual method for solving systems of linear algebraic equations and inequalities
A. Yu. Ivanitskii; F. P. Vasii’ev; V. A. Morozov
33
Optimality region of the m-step Lavrentiev method
T. Kiho
44
Multilevel iterative methods for ill-posed problems
J. T. King
48
The method of minimal pseudoinversed matrix. Basic statements
A. S. Leonov
57
Variational algorithms with a posteriori choice of the regularization parameter for solving ill-posed extremal problems
A. S. Leonov
63
Tikhonov's approach for constructing regularizing algorithms
A. S. Leonov; A. G. Yagola
71
Regularization algorithms for solving ill-posed criterion problems
A. M. Levin
84
On the numerical solution of the ill-posed problems of construction of approximate solutions of singular integral equations of second kind
A. F. Matveev
88
Regularization methods for ill-posed boundary problems
I. V. Mel’nikova
93
Modified Tikhonov regularization for nonlinear ill-posed problems leading to optimal convergence rates
A. Neubauer
104
On dynamical restoration of parameters of elliptic systems
Yu. S. Osipov; A. I. Korotkii
108
Extreme value estimation, a method for regularizing ill-posed inversion problems
P. Paatero
118
Chapters/HeadingsAuthor(s)PagesInfo
Showing 1 to 20 of 69 entries
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