Arcangeli's type discrepancy principles for a class of regularization methods using a modified projection scheme
Solodkĭ (1998) applied the modified projection scheme of Pereverzev (1995) for obtaining error estimates for a class of regularization methods for solving ill-posed operator equations. But, no a posteriori procedure for choosing the regularization parameter is discussed. In this paper, we consider...
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| Format: | Article |
| Language: | English |
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Wiley
2001-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S1085337501000653 |
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| author | M. T. Nair M. P. Rajan |
| author_facet | M. T. Nair M. P. Rajan |
| author_sort | M. T. Nair |
| collection | DOAJ |
| description | Solodkĭ (1998) applied the modified projection scheme of
Pereverzev (1995) for obtaining error estimates for a class of
regularization methods for solving ill-posed operator equations.
But, no a posteriori procedure for choosing the regularization
parameter is discussed. In this paper, we consider Arcangeli's
type discrepancy principles for such a general class of
regularization methods with modified projection scheme. |
| format | Article |
| id | doaj-art-078587ef12374d8483b16b86c0ccbbbf |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-078587ef12374d8483b16b86c0ccbbbf2025-02-03T01:01:06ZengWileyAbstract and Applied Analysis1085-33751687-04092001-01-016633935510.1155/S1085337501000653Arcangeli's type discrepancy principles for a class of regularization methods using a modified projection schemeM. T. Nair0M. P. Rajan1Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, IndiaDepartment of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, IndiaSolodkĭ (1998) applied the modified projection scheme of Pereverzev (1995) for obtaining error estimates for a class of regularization methods for solving ill-posed operator equations. But, no a posteriori procedure for choosing the regularization parameter is discussed. In this paper, we consider Arcangeli's type discrepancy principles for such a general class of regularization methods with modified projection scheme.http://dx.doi.org/10.1155/S1085337501000653 |
| spellingShingle | M. T. Nair M. P. Rajan Arcangeli's type discrepancy principles for a class of regularization methods using a modified projection scheme Abstract and Applied Analysis |
| title | Arcangeli's type discrepancy principles for a class of regularization methods using a modified projection scheme |
| title_full | Arcangeli's type discrepancy principles for a class of regularization methods using a modified projection scheme |
| title_fullStr | Arcangeli's type discrepancy principles for a class of regularization methods using a modified projection scheme |
| title_full_unstemmed | Arcangeli's type discrepancy principles for a class of regularization methods using a modified projection scheme |
| title_short | Arcangeli's type discrepancy principles for a class of regularization methods using a modified projection scheme |
| title_sort | arcangeli s type discrepancy principles for a class of regularization methods using a modified projection scheme |
| url | http://dx.doi.org/10.1155/S1085337501000653 |
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