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M.A. Krasnosel’skii theorem and iterative methods for solving ill-posed linear problems with a self-adjoint operator
dc.contributor.author | Matysik, O.V. | |
dc.contributor.author | Zabreiko, P.P. | |
dc.date.accessioned | 2020-09-18T06:27:03Z | |
dc.date.available | 2020-09-18T06:27:03Z | |
dc.date.issued | 2015-06-06 | |
dc.identifier.citation | Matysik, O.V. M. A. Krasnosel'skii Theorem and Iterative Methods for Solving Ill-Posed Linear Problems with a Self-Adjoint Operator / O.V. Matysik, P.P. Zabreiko // Computational Methods in Applied Mathematics. — 2015. – Vol. 15, iss. 3. – P. 889–895. | ru_RU |
dc.identifier.issn | 1609-9389 | |
dc.identifier.uri | http://rep.brsu.by:80/handle/123456789/292 | |
dc.description.abstract | The paper deals with iterative methods for solving linear operator equations x=Bx+f and Ax=f with self-adjoint operators in Hilbert space X in the critical case when ρ(B)=1 and 0∈SpA. The results obtained are based on a theorem by M. A. Krasnosel'skii on the convergence of the successive approximations, their modifications and refinements. | ru_RU |
dc.language.iso | en | ru_RU |
dc.publisher | De Gruyter | ru_RU |
dc.subject | errors | ru_RU |
dc.subject | residuals and corrections | ru_RU |
dc.subject | weakened norms | ru_RU |
dc.subject | orthogonal projection | ru_RU |
dc.subject | convergence and convergence rate of approximations | ru_RU |
dc.subject | ill-posed linear problems | ru_RU |
dc.subject | method of successive approximations | ru_RU |
dc.subject | spectrum of operator | ru_RU |
dc.title | M.A. Krasnosel’skii theorem and iterative methods for solving ill-posed linear problems with a self-adjoint operator | ru_RU |
dc.type | Article | ru_RU |